Номер 10, страница 28 - гдз по физике 8 класс учебник Изергин

Физика, 8 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019

Авторы: Изергин Э. Т.

Тип: Учебник

Издательство: Русское слово

Год издания: 2019 - 2026

Цвет обложки: синий

ISBN: 978-5-533-01067-2

Глава I. Тепловые явления. Параграф 4. Теплота сгорания топлива - номер 10, страница 28.

App\Models\Task {#1024 // resources/views/models/task/default.blade.php
  #connection: "mysql"
  #table: "tasks"
  #primaryKey: "id"
  #keyType: "int"
  +incrementing: true
  #with: []
  #withCount: []
  +preventsLazyLoading: false
  #perPage: 15
  +exists: true
  +wasRecentlyCreated: false
  #escapeWhenCastingToString: false
  #attributes: array:24 [
    "id" => 1492251
    "created_at" => "2026-04-10 13:58:26"
    "updated_at" => null
    "field_page_start" => "28"
    "field_page_end" => null
    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-10"
    "field_display_title" => "10"
    "field_outside_task" => null
    "field_task_type" => Illuminate\Database\Eloquent\Collection {#331
      #items: array:1 [
        0 => App\Models\Term {#1029
          #connection: "mysql"
          #table: "terms"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: false
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #original: array:6 [
            "id" => 26
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "name" => "номер"
            "field_cases" => array:6 [
              "field_accusative_case" => "номер"
              "field_creative_case" => "номером"
              "field_dative_case" => "номеру"
              "field_genitive_case" => "номера"
              "field_nominative_case" => "номер"
              "field_prepositional_case" => "номере"
            ]
            "field_short_name" => ""
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "field_metatags_title" => null
    "field_metatags_description" => null
    "field_h1" => null
    "field_description_top" => null
    "field_description_bottom" => null
    "field_match" => null
    "breadcrumbs" => []
    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1026
      #items: []
      #escapeWhenCastingToString: false
    }
    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#342
      #items: array:1 [
        0 => App\Models\Branch {#1023
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1492157
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Тепловые явления"
            "field_branch_order" => "I"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333
              #items: array:1 [
                0 => App\Models\Term {#1033
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Главу"
                      "field_creative_case" => "Главой"
                      "field_dative_case" => "Главе"
                      "field_genitive_case" => "Главы"
                      "field_nominative_case" => "Глава"
                      "field_prepositional_case" => "Главе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #original: array:7 [
                    "id" => 29
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Глава"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Главу"
                      "field_creative_case" => "Главой"
                      "field_dative_case" => "Главе"
                      "field_genitive_case" => "Главы"
                      "field_nominative_case" => "Глава"
                      "field_prepositional_case" => "Главе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => null
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
            "field_display_branch_in_title" => "1"
            "field_display_task_interval" => "0"
            "field_display_branch_page" => "1"
            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
            "field_metatags_title" => null
            "field_metatags_description" => null
            "field_h1" => null
            "field_description_top" => null
            "field_description_bottom" => null
            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1030
              #items: array:1 [
                0 => App\Models\Book {#1032
                  #connection: "mysql"
                  #table: "books"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:50 [
                    "id" => 4168
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
                    "field_pages_status" => null
                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1034
                      #items: array:1 [
                        0 => App\Models\Term {#1035
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "физику"
                              "field_creative_case" => "физикой"
                              "field_dative_case" => "физике"
                              "field_genitive_case" => "физики"
                              "field_nominative_case" => "физика"
                              "field_prepositional_case" => "физике"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #original: array:10 [
                            "id" => 6493
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Физика"
                            "field_abbreviated_name" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "физику"
                              "field_creative_case" => "физикой"
                              "field_dative_case" => "физике"
                              "field_genitive_case" => "физики"
                              "field_nominative_case" => "физика"
                              "field_prepositional_case" => "физике"
                            ]
                            "field_foreign_lang_name" => null
                            "field_short_name" => null
                            "field_subject_type" => "technical_subject"
                            "field_translit" => "fizika"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036
                      #items: array:1 [
                        0 => App\Models\Term {#1037
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "восьмой"
                              "field_creative_case" => "восьмым"
                              "field_dative_case" => "восьмому"
                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #original: array:6 [
                            "id" => 5457
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "8"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "восьмой"
                              "field_creative_case" => "восьмым"
                              "field_dative_case" => "восьмому"
                              "field_genitive_case" => "восьмого"
                              "field_nominative_case" => "восьмой"
                              "field_prepositional_case" => "восьмом"
                            ]
                            "field_translit" => "vosmoj"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1038
                      #items: array:1 [
                        0 => App\Models\Term {#1039
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 5176
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Русское слово"
                            "field_cases" => null
                            "field_translit" => "russkoe slovo"
                          ]
                          #original: array:6 [
                            "id" => 5176
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Русское слово"
                            "field_cases" => null
                            "field_translit" => "russkoe slovo"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1040
                      #items: array:1 [
                        0 => App\Models\Term {#1041
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:12 [
                            "id" => 4491
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Изергин"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Эдуард"
                            "field_patronymic" => "Тимофеевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 4491
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Изергин"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Эдуард"
                            "field_patronymic" => "Тимофеевич"
                            "field_surname_rp" => null
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1042
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1043
                      #items: array:1 [
                        0 => App\Models\Term {#1044
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6671
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Учебник"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "учебник"
                              "field_creative_case" => "учебником"
                              "field_dative_case" => "учебнику"
                              "field_genitive_case" => "учебника"
                               …2
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "uchebnik"
                          ]
                          #original: array:10 [
                            "id" => 6671
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Учебник"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [ …6]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "uchebnik"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1045
                      #items: array:1 [
                        0 => App\Models\Term {#1046
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #original: array:6 [
                            "id" => 9
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Россия"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "rossiya"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1047
                      #items: array:1 [
                        0 => App\Models\Term {#1048
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #original: array:6 [
                            "id" => 15
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Москва"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "moskva"
                          ]
                          #changes: []
                          #casts: []
                          #classCastCache: []
                          #attributeCastCache: []
                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
                          #guarded: array:1 [
                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1049
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1050
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1051
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052
                      #items: array:1 [
                        0 => App\Models\Term {#1053
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
                          #withCount: []
                          +preventsLazyLoading: false
                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
                          #escapeWhenCastingToString: false
                          #attributes: array:10 [
                            "id" => 6706
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (старый)"
                            "field_cases" => array:6 [ …6]
                            "field_color" => null
                            "field_end_year" => "2022"
                            "field_start_year" => "2019"
                            "field_translit" => "fgos-old"
                            "field_type" => null
                          ]
                          #original: array:10 [
                            "id" => 6706
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (старый)"
                            "field_cases" => array:6 [ …6]
                            "field_color" => null
                            "field_end_year" => "2022"
                            "field_start_year" => "2019"
                            "field_translit" => "fgos-old"
                            "field_type" => null
                          ]
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                          #dateFormat: null
                          #appends: []
                          #dispatchesEvents: []
                          #observables: []
                          #relations: []
                          #touches: []
                          +timestamps: true
                          +usesUniqueIds: false
                          #hidden: []
                          #visible: []
                          #fillable: []
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                            0 => "*"
                          ]
                        }
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054
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                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1055
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2019"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебник для 8 класса общеобразовательных организаций"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "417"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/izergin-u/"
                    "field_isbn" => "978-5-533-01067-2"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278"
                        "alt" => ""
                        "width" => "1608"
                        "height" => "2576"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1056
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1057
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1058
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/fizika/izergin-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1059
                      #items: array:1 [
                        0 => App\Models\Term {#1060
                          #connection: "mysql"
                          #table: "terms"
                          #primaryKey: "id"
                          #keyType: "int"
                          +incrementing: false
                          #with: []
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                          #perPage: 15
                          +exists: true
                          +wasRecentlyCreated: false
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                          #attributes: array:6 [
                            "id" => 49
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "синий"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "siniy"
                          ]
                          #original: array:6 [
                            "id" => 49
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "синий"
                            "field_cases" => array:6 [ …6]
                            "field_translit" => "siniy"
                          ]
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                          #dateFormat: null
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                            0 => "*"
                          ]
                        }
                      ]
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                    "field_metatags_title" => null
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                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #original: array:50 [
                    "id" => 4168
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "field_tree_default_status" => "tasks"
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                    "field_subject" => Illuminate\Database\Eloquent\Collection {#1034}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1036}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1038}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1040}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1042}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1043}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1045}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1047}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1049}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1050}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1051}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1052}
                    "field_publication_number" => null
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1054}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1055}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2019"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебник для 8 класса общеобразовательных организаций"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "417"
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                    "field_default_folder" => "/fizika_08/izergin-u/"
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                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/izergin-u/covers/cover1.webp?ts=1760998278"
                        "alt" => ""
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                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1056}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1057}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1058}
                    "field_url" => "/8-klass/fizika/izergin-uchebnik"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1059}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
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                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
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                    ]
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #touches: []
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                  #visible: []
                  #fillable: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1061
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
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            "id" => 1492157
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Тепловые явления"
            "field_branch_order" => "I"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#333}
            "field_page_start" => "4"
            "field_branch_display" => "0"
            "field_branch_expanded" => "0"
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            "field_display_task_interval" => "0"
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            "field_navigation_title" => null
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            "field_metatags_description" => null
            "field_h1" => null
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1030}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1061}
          ]
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          #attributeCastCache: []
          #dateFormat: null
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1062
      #items: array:2 [
        0 => App\Models\Branch {#1023}
        1 => App\Models\Branch {#1063
          #connection: "mysql"
          #table: "branches"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:24 [
            "id" => 1492161
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Теплота сгорания топлива"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1064
              #items: array:1 [
                0 => App\Models\Term {#1065
                  #connection: "mysql"
                  #table: "terms"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Параграф"
                      "field_creative_case" => "Параграфом"
                      "field_dative_case" => "Параграфу"
                      "field_genitive_case" => "Параграфа"
                      "field_nominative_case" => "Параграф"
                      "field_prepositional_case" => "Параграфе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #original: array:7 [
                    "id" => 32
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "name" => "Параграф"
                    "field_cases" => array:6 [
                      "field_accusative_case" => "Параграф"
                      "field_creative_case" => "Параграфом"
                      "field_dative_case" => "Параграфу"
                      "field_genitive_case" => "Параграфа"
                      "field_nominative_case" => "Параграф"
                      "field_prepositional_case" => "Параграфе"
                    ]
                    "field_page_check_not_needed" => null
                    "field_short_name" => "§"
                  ]
                  #changes: []
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                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
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                  #touches: []
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                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "25"
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            "field_branch_title_in_content" => "0"
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            "field_h1" => null
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            "field_branch_cover" => []
            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1066
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                0 => App\Models\Book {#1032}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067
              #items: array:1 [
                0 => App\Models\Branch {#1068
                  #connection: "mysql"
                  #table: "branches"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  +exists: true
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                  #attributes: array:24 [
                    "id" => 1492157
                    "created_at" => "2026-04-10 13:58:26"
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                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_page_start" => "4"
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                    "field_branch_cover" => []
                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1071
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1100
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                  ]
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                    "field_branch_order" => "I"
                    "field_url" => null
                    "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1069}
                    "field_page_start" => "4"
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                    "field_branch_covers" => []
                    "book" => Illuminate\Database\Eloquent\Collection {#1071}
                    "branch_parent" => Illuminate\Database\Eloquent\Collection {#1100}
                  ]
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #visible: []
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                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
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          ]
          #original: array:24 [
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            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Теплота сгорания топлива"
            "field_branch_order" => "4"
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1064}
            "field_page_start" => "25"
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            "field_display_task_interval" => "0"
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            "field_branch_title_in_content" => "0"
            "field_navigation_title" => null
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            "field_metatags_description" => null
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            "field_branch_covers" => []
            "book" => Illuminate\Database\Eloquent\Collection {#1066}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1067}
          ]
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          #visible: []
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            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1101
      #items: array:2 [
        0 => App\Models\Element {#1102
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
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          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1774418
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1103
              #items: array:1 [
                0 => App\Models\Edition {#1104
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
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                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6496
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105
                      #items: array:1 [ …1]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1107
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1108
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1109
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6496
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1105}
                    "field_content_type" => "free"
                    "field_content_mode" => "text, image"
                    "field_page_content_mode" => "image"
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Автор"
                    "field_moderator" => "stas"
                    "field_edition_type" => "statement"
                    "field_root_dir" => "0-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1107}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1108}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1109}
                    "field_content_source" => null
                  ]
                  #changes: []
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                  #attributeCastCache: []
                  #dateFormat: null
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                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
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            "task" => array:2 [
              "refs" => "1492251"
              "type" => "task"
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            "text" => "<p><strong>10.</strong> КПД газовой плиты равен $30\%$. Сколько надо сжечь природного газа, чтобы нагреть воду объёмом $3 \text{ л}$ от $15^\circ\text{C}$ до кипения?</p>"
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            "id" => 1774418
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            "task" => array:2 [
              "refs" => "1492251"
              "type" => "task"
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            "text" => "<p><strong>10.</strong> КПД газовой плиты равен $30\%$. Сколько надо сжечь природного газа, чтобы нагреть воду объёмом $3 \text{ л}$ от $15^\circ\text{C}$ до кипения?</p>"
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            "created_at" => "2026-04-10 13:58:26"
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                    "title" => "Решение"
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                    "id" => 7014
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              "type" => "task"
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            "text" => "<p><strong>Дано:</strong></p><p>КПД, $\eta = 30\%$</p><p>Объём воды, $V = 3$ л</p><p>Начальная температура воды, $t_1 = 15$ °C</p><p>Конечная температура воды, $t_2 = 100$ °C (температура кипения)</p><p>Удельная теплоёмкость воды, $c \approx 4200 \frac{Дж}{кг \cdot °C}$ (справочное значение)</p><p>Удельная теплота сгорания природного газа, $q \approx 4,4 \cdot 10^7 \frac{Дж}{кг}$ (справочное значение)</p><p>Плотность воды, $\rho \approx 1000 \frac{кг}{м^3}$</p><p>$\eta = 0,3$<br>$V = 3 \text{ л} = 3 \cdot 10^{-3} \text{ м}^3$</p><p><strong>Найти:</strong></p><p>Массу природного газа, $m_{газа}$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Найдём массу воды, которую необходимо нагреть. Плотность воды составляет примерно 1000 кг/м³, или 1 кг/л. Таким образом, масса 3 литров воды равна:</p><p>$m_{воды} = \rho \cdot V = 1000 \frac{кг}{м^3} \cdot 3 \cdot 10^{-3} м^3 = 3 \text{ кг}$</p><p><strong>2.</strong> Рассчитаем количество теплоты ($Q_{полезное}$), которое необходимо для нагревания этого объёма воды от начальной температуры до температуры кипения. Это и будет полезная работа.</p><p>$Q_{полезное} = c \cdot m_{воды} \cdot (t_2 - t_1)$</p><p>$Q_{полезное} = 4200 \frac{Дж}{кг \cdot °C} \cdot 3 \text{ кг} \cdot (100°C - 15°C) = 12600 \frac{Дж}{°C} \cdot 85°C = 1\ 071\ 000 \text{ Дж}$</p><p><strong>3.</strong> Коэффициент полезного действия (КПД) показывает, какая часть от всей выделившейся при сгорании газа теплоты ($Q_{затраченное}$) пошла на нагрев воды ($Q_{полезное}$). Формула КПД:</p><p>$\eta = \frac{Q_{полезное}}{Q_{затраченное}}$</p><p>Из этой формулы выразим общее количество теплоты, которое должно выделиться при сгорании природного газа:</p><p>$Q_{затраченное} = \frac{Q_{полезное}}{\eta}$</p><p>При расчетах используем КПД, выраженный в долях единицы: $\eta = 30\% = 0,3$.</p><p>$Q_{затраченное} = \frac{1\ 071\ 000 \text{ Дж}}{0,3} = 3\ 570\ 000 \text{ Дж}$</p><p><strong>4.</strong> Количество теплоты, которое выделяется при сгорании топлива, связано с его массой и удельной теплотой сгорания по формуле:</p><p>$Q_{затраченное} = q \cdot m_{газа}$</p><p>Теперь мы можем найти массу газа, которую необходимо сжечь:</p><p>$m_{газа} = \frac{Q_{затраченное}}{q}$</p><p>$m_{газа} = \frac{3\ 570\ 000 \text{ Дж}}{4,4 \cdot 10^7 \frac{Дж}{кг}} \approx 0,0811 \text{ кг}$</p><p>Переведём полученное значение в граммы:</p><p>$0,0811 \text{ кг} \cdot 1000 \frac{г}{кг} \approx 81,1 \text{ г}$</p><p><strong>Ответ:</strong> чтобы нагреть воду, надо сжечь примерно 81,1 г природного газа.</p>"
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            "text" => "<p><strong>Дано:</strong></p><p>КПД, $\eta = 30\%$</p><p>Объём воды, $V = 3$ л</p><p>Начальная температура воды, $t_1 = 15$ °C</p><p>Конечная температура воды, $t_2 = 100$ °C (температура кипения)</p><p>Удельная теплоёмкость воды, $c \approx 4200 \frac{Дж}{кг \cdot °C}$ (справочное значение)</p><p>Удельная теплота сгорания природного газа, $q \approx 4,4 \cdot 10^7 \frac{Дж}{кг}$ (справочное значение)</p><p>Плотность воды, $\rho \approx 1000 \frac{кг}{м^3}$</p><p>$\eta = 0,3$<br>$V = 3 \text{ л} = 3 \cdot 10^{-3} \text{ м}^3$</p><p><strong>Найти:</strong></p><p>Массу природного газа, $m_{газа}$</p><p><strong>Решение:</strong></p><p><strong>1.</strong> Найдём массу воды, которую необходимо нагреть. Плотность воды составляет примерно 1000 кг/м³, или 1 кг/л. Таким образом, масса 3 литров воды равна:</p><p>$m_{воды} = \rho \cdot V = 1000 \frac{кг}{м^3} \cdot 3 \cdot 10^{-3} м^3 = 3 \text{ кг}$</p><p><strong>2.</strong> Рассчитаем количество теплоты ($Q_{полезное}$), которое необходимо для нагревания этого объёма воды от начальной температуры до температуры кипения. Это и будет полезная работа.</p><p>$Q_{полезное} = c \cdot m_{воды} \cdot (t_2 - t_1)$</p><p>$Q_{полезное} = 4200 \frac{Дж}{кг \cdot °C} \cdot 3 \text{ кг} \cdot (100°C - 15°C) = 12600 \frac{Дж}{°C} \cdot 85°C = 1\ 071\ 000 \text{ Дж}$</p><p><strong>3.</strong> Коэффициент полезного действия (КПД) показывает, какая часть от всей выделившейся при сгорании газа теплоты ($Q_{затраченное}$) пошла на нагрев воды ($Q_{полезное}$). Формула КПД:</p><p>$\eta = \frac{Q_{полезное}}{Q_{затраченное}}$</p><p>Из этой формулы выразим общее количество теплоты, которое должно выделиться при сгорании природного газа:</p><p>$Q_{затраченное} = \frac{Q_{полезное}}{\eta}$</p><p>При расчетах используем КПД, выраженный в долях единицы: $\eta = 30\% = 0,3$.</p><p>$Q_{затраченное} = \frac{1\ 071\ 000 \text{ Дж}}{0,3} = 3\ 570\ 000 \text{ Дж}$</p><p><strong>4.</strong> Количество теплоты, которое выделяется при сгорании топлива, связано с его массой и удельной теплотой сгорания по формуле:</p><p>$Q_{затраченное} = q \cdot m_{газа}$</p><p>Теперь мы можем найти массу газа, которую необходимо сжечь:</p><p>$m_{газа} = \frac{Q_{затраченное}}{q}$</p><p>$m_{газа} = \frac{3\ 570\ 000 \text{ Дж}}{4,4 \cdot 10^7 \frac{Дж}{кг}} \approx 0,0811 \text{ кг}$</p><p>Переведём полученное значение в граммы:</p><p>$0,0811 \text{ кг} \cdot 1000 \frac{г}{кг} \approx 81,1 \text{ г}$</p><p><strong>Ответ:</strong> чтобы нагреть воду, надо сжечь примерно 81,1 г природного газа.</p>"
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1158 …2}
                    "book_page" => array:2 [ …2]
                    "img" => array:1 [ …1]
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                    "updated_at" => null
                    "edition" => Illuminate\Database\Eloquent\Collection {#1158 …2}
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                    0 => "*"
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            "tasks" => Illuminate\Database\Eloquent\Collection {#1165
              #items: array:10 [
                0 => App\Models\Task {#1166
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1167 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1169 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1204 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1226 …2}
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1167 …2}
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                    0 => "*"
                  ]
                }
                1 => App\Models\Task {#1227
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #perPage: 15
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-2"
                    "field_display_title" => "2"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1228 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1229 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1230 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1231 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1232 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1237 …2}
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                    0 => "*"
                  ]
                }
                2 => App\Models\Task {#1238
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-3"
                    "field_display_title" => "3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1239 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1240 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1242 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1243 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1248 …2}
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                    "field_display_title" => "3"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1239 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1242 …2}
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                    0 => "*"
                  ]
                }
                3 => App\Models\Task {#1249
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #attributes: array:24 [
                    "id" => 1492245
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-4"
                    "field_display_title" => "4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1250 …2}
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1251 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1253 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1254 …2}
                    "next" => array:2 [ …2]
                    "previous" => array:2 [ …2]
                    "book" => Illuminate\Database\Eloquent\Collection {#1259 …2}
                    "page" => array:2 [ …2]
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                  #original: array:24 [
                    "id" => 1492245
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                    "field_display_title" => "4"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1250 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1253 …2}
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                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1259 …2}
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                    0 => "*"
                  ]
                }
                4 => App\Models\Task {#1260
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
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                  #attributes: array:24 [
                    "id" => 1492246
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-5"
                    "field_display_title" => "5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1261 …2}
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                    "field_h1" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1262 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1263 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1264 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1265 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1270 …2}
                    "page" => array:2 [ …2]
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                    "field_display_title" => "5"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1261 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1264 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1265 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1270 …2}
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                    0 => "*"
                  ]
                }
                5 => App\Models\Task {#1271
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
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                  #attributes: array:24 [
                    "id" => 1492247
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-6"
                    "field_display_title" => "6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1272 …2}
                    "field_metatags_title" => null
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                    "field_h1" => null
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                    "breadcrumbs" => []
                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1273 …2}
                    "top_parent_branch" => Illuminate\Database\Eloquent\Collection {#1274 …2}
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1275 …2}
                    "content" => Illuminate\Database\Eloquent\Collection {#1276 …2}
                    "next" => array:2 [ …2]
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                    "book" => Illuminate\Database\Eloquent\Collection {#1281 …2}
                    "page" => array:2 [ …2]
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                    "field_display_title" => "6"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1272 …2}
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                    0 => "*"
                  ]
                }
                6 => App\Models\Task {#1282
                  #connection: "mysql"
                  #table: "tasks"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: true
                  #with: []
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                  #attributes: array:24 [
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                    "created_at" => "2026-04-10 13:58:26"
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                    "field_url" => "/8-klass/fizika/izergin-uchebnik/04-7"
                    "field_display_title" => "7"
                    "field_outside_task" => null
                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1283 …2}
                    "field_metatags_title" => null
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                    "edition_groups" => Illuminate\Database\Eloquent\Collection {#1284 …2}
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                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1286 …2}
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                    "book" => Illuminate\Database\Eloquent\Collection {#1292 …2}
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                  #original: array:24 [
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                    "field_task_type" => Illuminate\Database\Eloquent\Collection {#1283 …2}
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№10 (с. 28)
Условие. №10 (с. 28)
скриншот условия
Физика, 8 класс Учебник, автор: Изергин Эдуард Тимофеевич, издательство Русское слово, Москва, 2019, страница 28, номер 10, Условие

10. КПД газовой плиты равен $30\%$. Сколько надо сжечь природного газа, чтобы нагреть воду объёмом $3 \text{ л}$ от $15^\circ\text{C}$ до кипения?

Решение. №10 (с. 28)

Дано:

КПД, $\eta = 30\%$

Объём воды, $V = 3$ л

Начальная температура воды, $t_1 = 15$ °C

Конечная температура воды, $t_2 = 100$ °C (температура кипения)

Удельная теплоёмкость воды, $c \approx 4200 \frac{Дж}{кг \cdot °C}$ (справочное значение)

Удельная теплота сгорания природного газа, $q \approx 4,4 \cdot 10^7 \frac{Дж}{кг}$ (справочное значение)

Плотность воды, $\rho \approx 1000 \frac{кг}{м^3}$

$\eta = 0,3$
$V = 3 \text{ л} = 3 \cdot 10^{-3} \text{ м}^3$

Найти:

Массу природного газа, $m_{газа}$

Решение:

1. Найдём массу воды, которую необходимо нагреть. Плотность воды составляет примерно 1000 кг/м³, или 1 кг/л. Таким образом, масса 3 литров воды равна:

$m_{воды} = \rho \cdot V = 1000 \frac{кг}{м^3} \cdot 3 \cdot 10^{-3} м^3 = 3 \text{ кг}$

2. Рассчитаем количество теплоты ($Q_{полезное}$), которое необходимо для нагревания этого объёма воды от начальной температуры до температуры кипения. Это и будет полезная работа.

$Q_{полезное} = c \cdot m_{воды} \cdot (t_2 - t_1)$

$Q_{полезное} = 4200 \frac{Дж}{кг \cdot °C} \cdot 3 \text{ кг} \cdot (100°C - 15°C) = 12600 \frac{Дж}{°C} \cdot 85°C = 1\ 071\ 000 \text{ Дж}$

3. Коэффициент полезного действия (КПД) показывает, какая часть от всей выделившейся при сгорании газа теплоты ($Q_{затраченное}$) пошла на нагрев воды ($Q_{полезное}$). Формула КПД:

$\eta = \frac{Q_{полезное}}{Q_{затраченное}}$

Из этой формулы выразим общее количество теплоты, которое должно выделиться при сгорании природного газа:

$Q_{затраченное} = \frac{Q_{полезное}}{\eta}$

При расчетах используем КПД, выраженный в долях единицы: $\eta = 30\% = 0,3$.

$Q_{затраченное} = \frac{1\ 071\ 000 \text{ Дж}}{0,3} = 3\ 570\ 000 \text{ Дж}$

4. Количество теплоты, которое выделяется при сгорании топлива, связано с его массой и удельной теплотой сгорания по формуле:

$Q_{затраченное} = q \cdot m_{газа}$

Теперь мы можем найти массу газа, которую необходимо сжечь:

$m_{газа} = \frac{Q_{затраченное}}{q}$

$m_{газа} = \frac{3\ 570\ 000 \text{ Дж}}{4,4 \cdot 10^7 \frac{Дж}{кг}} \approx 0,0811 \text{ кг}$

Переведём полученное значение в граммы:

$0,0811 \text{ кг} \cdot 1000 \frac{г}{кг} \approx 81,1 \text{ г}$

Ответ: чтобы нагреть воду, надо сжечь примерно 81,1 г природного газа.

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