Вариант 5, страница 74 - гдз по физике 8 класс дидактические материалы Марон, Марон

Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета

Авторы: Марон А. Е., Марон Е. А.

Тип: Дидактические материалы

Издательство: Просвещение

Год издания: 2022 - 2026

Уровень обучения: базовый

Цвет обложки: белый

ISBN: 978-5-09-111138-5

Самостоятельные работы. СР-5. Испарение и конденсация. Влажность воздуха. Кипение - страница 74.

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                              "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 {#1124
                      #items: array:1 [
                        0 => App\Models\Term {#1125
                          #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" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #original: array:6 [
                            "id" => 5153
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Просвещение"
                            "field_cases" => null
                            "field_translit" => "prosveschenie"
                          ]
                          #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 {#1126
                      #items: array:2 [
                        0 => App\Models\Term {#1127
                          #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" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5107
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Абрам"
                            "field_patronymic" => "Евсеевич"
                            "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 => "*"
                          ]
                        }
                        1 => App\Models\Term {#1128
                          #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" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "field_surname_rp" => null
                          ]
                          #original: array:12 [
                            "id" => 5108
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Марон"
                            "field_bio" => null
                            "field_degree_rp" => null
                            "field_foreign_lang_name" => null
                            "field_foreign_lang_patronymic" => null
                            "field_foreign_lang_surname" => null
                            "field_name" => "Евгений"
                            "field_patronymic" => "Абрамович"
                            "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 {#1129
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130
                      #items: array:1 [
                        0 => App\Models\Term {#1131
                          #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" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #original: array:10 [
                            "id" => 6510
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "Дидактические материалы"
                            "field_book_type_foreign" => null
                            "field_cases" => array:6 [
                              "field_accusative_case" => "дидактические материалы"
                              "field_creative_case" => "дидактическими материалами"
                              "field_dative_case" => "дидактическим материалам"
                              "field_genitive_case" => "дидактических материалов"
                              "field_nominative_case" => "дидактические материалы"
                              "field_prepositional_case" => "дидактических материалах"
                            ]
                            "field_plural_form" => null
                            "field_short_name" => null
                            "field_short_name_foreign" => null
                            "field_translit" => "didakticheskie materialy"
                          ]
                          #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 {#1132
                      #items: array:1 [
                        0 => App\Models\Term {#1133
                          #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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 {#1134
                      #items: array:1 [
                        0 => App\Models\Term {#1135
                          #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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "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 {#1136
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1137
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138
                      #items: array:1 [
                        0 => App\Models\Term {#1139
                          #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" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #original: array:6 [
                            "id" => 38
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "базовый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "базовый"
                              "field_creative_case" => "базовым"
                              "field_dative_case" => "базовому"
                              "field_genitive_case" => "базового"
                              "field_nominative_case" => "базовый"
                              "field_prepositional_case" => "базовом"
                            ]
                            "field_translit" => "bazovyy"
                          ]
                          #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_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140
                      #items: array:1 [
                        0 => App\Models\Term {#1141
                          #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" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #original: array:10 [
                            "id" => 25
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "ФГОС (новый)"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_color" => "красный"
                            "field_end_year" => "2027"
                            "field_start_year" => "2023"
                            "field_translit" => "fgos"
                            "field_type" => "новый"
                          ]
                          #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_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142
                      #items: array:1 [
                        0 => App\Models\Term {#1143
                          #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" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #original: array:6 [
                            "id" => 33
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "стереотипное"
                            "field_cases" => array:6 [
                              "field_accusative_case" => null
                              "field_creative_case" => null
                              "field_dative_case" => null
                              "field_genitive_case" => null
                              "field_nominative_case" => null
                              "field_prepositional_case" => null
                            ]
                            "field_translit" => "stereotipnoe"
                          ]
                          #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_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1144
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148
                      #items: array:1 [
                        0 => App\Models\Term {#1149
                          #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" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #original: array:6 [
                            "id" => 45
                            "created_at" => "2026-04-10 13:58:26"
                            "updated_at" => null
                            "name" => "белый"
                            "field_cases" => array:6 [
                              "field_accusative_case" => "белый"
                              "field_creative_case" => "белым"
                              "field_dative_case" => "белому"
                              "field_genitive_case" => "белого"
                              "field_nominative_case" => "белый"
                              "field_prepositional_case" => "белом"
                            ]
                            "field_translit" => "belyy"
                          ]
                          #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
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #original: array:50 [
                    "id" => 1038
                    "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 {#1121}
                    "field_class" => Illuminate\Database\Eloquent\Collection {#1122}
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1124}
                    "field_author" => Illuminate\Database\Eloquent\Collection {#1126}
                    "field_author_foreign" => Illuminate\Database\Eloquent\Collection {#1129}
                    "field_book_type" => Illuminate\Database\Eloquent\Collection {#1130}
                    "field_country" => Illuminate\Database\Eloquent\Collection {#1132}
                    "field_city" => Illuminate\Database\Eloquent\Collection {#1134}
                    "field_series" => Illuminate\Database\Eloquent\Collection {#1136}
                    "field_umk" => Illuminate\Database\Eloquent\Collection {#1137}
                    "field_level_of_education" => Illuminate\Database\Eloquent\Collection {#1138}
                    "field_standart_of_education" => Illuminate\Database\Eloquent\Collection {#1140}
                    "field_publication_number" => "4"
                    "field_publication_type" => Illuminate\Database\Eloquent\Collection {#1142}
                    "field_under_the_edition" => Illuminate\Database\Eloquent\Collection {#1144}
                    "field_under_the_edition_degree" => null
                    "field_cover_description" => null
                    "field_publication_year" => "2022"
                    "field_publication_year_until" => null
                    "field_part" => ""
                    "field_part_writing" => ""
                    "field_second_foreign_language" => null
                    "field_for_whom" => "Учебное пособие"
                    "field_allowed" => null
                    "field_reserve_field" => null
                    "field_link_to_source" => null
                    "field_tasks_count" => "661"
                    "field_priority" => null
                    "field_default_folder" => "/fizika_08/maron-dm/"
                    "field_isbn" => "978-5-09-111138-5"
                    "field_cover" => array:1 [
                      0 => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                    ]
                    "field_cover_alts" => array:1 [
                      0 => ""
                    ]
                    "field_covers" => array:1 [
                      0 => array:4 [
                        "path" => "/media/fizika_08/maron-dm/covers/cover1.webp?ts=1760461989"
                        "alt" => ""
                        "width" => "2294"
                        "height" => "3039"
                      ]
                    ]
                    "field_popular_book" => "0"
                    "field_recommended_books" => Illuminate\Database\Eloquent\Collection {#1145}
                    "field_new_book" => Illuminate\Database\Eloquent\Collection {#1146}
                    "field_old_book" => Illuminate\Database\Eloquent\Collection {#1147}
                    "field_url" => "/8-klass/fizika/maron-didakticheskie-materialy"
                    "field_cover_color" => Illuminate\Database\Eloquent\Collection {#1148}
                    "field_metatags_title" => null
                    "field_metatags_description" => null
                    "field_h1" => null
                    "field_description_top" => null
                    "field_description_bottom" => null
                    "breadcrumbs" => array:3 [
                      "class" => 379
                      "subject" => 556
                      "class_subject" => 492
                    ]
                  ]
                  #changes: []
                  #casts: []
                  #classCastCache: []
                  #attributeCastCache: []
                  #dateFormat: null
                  #appends: []
                  #dispatchesEvents: []
                  #observables: []
                  #relations: []
                  #touches: []
                  +timestamps: true
                  +usesUniqueIds: false
                  #hidden: []
                  #visible: []
                  #fillable: []
                  #guarded: array:1 [
                    0 => "*"
                  ]
                }
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1150
              #items: []
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1469778
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "Самостоятельные работы"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1118}
            "field_page_start" => "62"
            "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 {#1152}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1150}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Branch {#1151
          #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" => 1469783
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-5. Испарение и конденсация. Влажность воздуха. Кипение"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153
              #items: []
              #escapeWhenCastingToString: false
            }
            "field_page_start" => "73"
            "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 {#1154
              #items: array:1 [
                0 => App\Models\Book {#1119}
              ]
              #escapeWhenCastingToString: false
            }
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155
              #items: array:1 [
                0 => App\Models\Branch {#1035}
              ]
              #escapeWhenCastingToString: false
            }
          ]
          #original: array:24 [
            "id" => 1469783
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "field_display_title" => "СР-5. Испарение и конденсация. Влажность воздуха. Кипение"
            "field_branch_order" => null
            "field_url" => null
            "field_branch_type" => Illuminate\Database\Eloquent\Collection {#1153}
            "field_page_start" => "73"
            "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 {#1154}
            "branch_parent" => Illuminate\Database\Eloquent\Collection {#1155}
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
      ]
      #escapeWhenCastingToString: false
    }
    "content" => Illuminate\Database\Eloquent\Collection {#1071
      #items: array:2 [
        0 => App\Models\Element {#1100
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:7 [
            "id" => 1760868
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1090
              #items: array:1 [
                0 => App\Models\Edition {#1098
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096
                      #items: array:1 [
                        0 => App\Models\Term {#1099 …30}
                      ]
                      #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 {#1097
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1094
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1095
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6406
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Условие"
                    "field_order" => "1"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1096}
                    "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 {#1097}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1094}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1095}
                    "field_content_source" => 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
            }
            "task" => array:2 [
              "refs" => "1470294"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 5</strong></p><p><strong>1.</strong> Почему в холодных помещениях часто бывает сыро?</p><p><strong>2.</strong> Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?</p><p><strong>3.</strong> В чайнике было 2 кг воды при температуре $16 ^{\circ}\text{C}$. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "5-1.jpg"
                "alt" => null
                "width" => "1424"
                "height" => 639
                "path" => "/media/fizika_08/maron-dm/0-cp05/5-1.webp?ts=1760803270"
              ]
            ]
          ]
          #original: array:7 [
            "id" => 1760868
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1090}
            "task" => array:2 [
              "refs" => "1470294"
              "type" => "task"
            ]
            "text" => "<p><strong>Вариант 5</strong></p><p><strong>1.</strong> Почему в холодных помещениях часто бывает сыро?</p><p><strong>2.</strong> Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?</p><p><strong>3.</strong> В чайнике было 2 кг воды при температуре $16 ^{\circ}\text{C}$. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.</p>"
            "img" => array:1 [
              0 => array:5 [
                "name" => "5-1.jpg"
                "alt" => null
                "width" => "1424"
                "height" => 639
                "path" => "/media/fizika_08/maron-dm/0-cp05/5-1.webp?ts=1760803270"
              ]
            ]
          ]
          #changes: []
          #casts: []
          #classCastCache: []
          #attributeCastCache: []
          #dateFormat: null
          #appends: []
          #dispatchesEvents: []
          #observables: []
          #relations: []
          #touches: []
          +timestamps: true
          +usesUniqueIds: false
          #hidden: []
          #visible: []
          #fillable: []
          #guarded: array:1 [
            0 => "*"
          ]
        }
        1 => App\Models\Element {#1093
          #connection: "mysql"
          #table: "elements"
          #primaryKey: "id"
          #keyType: "int"
          +incrementing: true
          #with: []
          #withCount: []
          +preventsLazyLoading: false
          #perPage: 15
          +exists: true
          +wasRecentlyCreated: false
          #escapeWhenCastingToString: false
          #attributes: array:6 [
            "id" => 1820283
            "created_at" => "2026-04-10 13:58:26"
            "updated_at" => null
            "edition" => Illuminate\Database\Eloquent\Collection {#1084
              #items: array:1 [
                0 => App\Models\Edition {#1092
                  #connection: "mysql"
                  #table: "editions"
                  #primaryKey: "id"
                  #keyType: "int"
                  +incrementing: false
                  #with: []
                  #withCount: []
                  +preventsLazyLoading: false
                  #perPage: 15
                  +exists: true
                  +wasRecentlyCreated: false
                  #escapeWhenCastingToString: false
                  #attributes: array:21 [
                    "id" => 6684
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088
                      #items: array:1 [
                        0 => App\Models\Term {#1091 …30}
                      ]
                      #escapeWhenCastingToString: false
                    }
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087
                      #items: []
                      #escapeWhenCastingToString: false
                    }
                    "field_content_source" => null
                  ]
                  #original: array:21 [
                    "id" => 6684
                    "created_at" => "2026-04-10 13:58:26"
                    "updated_at" => null
                    "title" => "Решение"
                    "field_order" => "2"
                    "field_publisher" => Illuminate\Database\Eloquent\Collection {#1088}
                    "field_content_type" => "free"
                    "field_content_mode" => "text"
                    "field_page_content_mode" => ""
                    "field_content_text_checked" => "0"
                    "field_page_content_text_checked" => "0"
                    "field_solution_author" => "Gemini 2.5 Pro"
                    "field_moderator" => "tolik"
                    "field_edition_type" => "solution"
                    "field_root_dir" => "1-"
                    "field_responsible" => Illuminate\Database\Eloquent\Collection {#1089}
                    "field_comment" => null
                    "field_similar_book" => Illuminate\Database\Eloquent\Collection {#1086}
                    "field_process_formula" => "katex"
                    "field_edition_group" => Illuminate\Database\Eloquent\Collection {#1087}
                    "field_content_source" => 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
            }
            "task" => array:2 [
              "refs" => "1470294"
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            "text" => "<p><strong>1.</strong> Почему в холодных помещениях часто бывает сыро?</p><p>В воздухе всегда содержится некоторое количество водяного пара. Теплый воздух способен удерживать больше водяного пара, чем холодный. Когда теплый и влажный воздух соприкасается с холодными поверхностями в помещении (стенами, окнами), он охлаждается. При понижении температуры воздух достигает "точки росы" — состояния, когда он становится насыщенным водяным паром. Если охлаждение продолжается, избыточная влага конденсируется, превращаясь в капельки воды. Эти капли оседают на холодных поверхностях, что и создает ощущение сырости.</p><p><strong>Ответ:</strong> Сырость в холодных помещениях возникает из-за конденсации водяного пара, содержащегося в воздухе, на холодных поверхностях.</p><p><strong>2.</strong> Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?</p><p>Эти два действия вызывают разные физические процессы.<br>Когда мы медленно дышим на руку (выдох с открытым ртом), мы выдыхаем теплый (около 37 °C) и насыщенный водяным паром воздух из легких. Во-первых, этот теплый воздух передает тепло нашей руке. Во-вторых, водяной пар конденсируется на более холодной коже руки. Процесс конденсации происходит с выделением энергии (скрытой теплоты парообразования), что дополнительно согревает руку.<br>Когда мы дуем на руку (выдох через сжатые губы), мы создаем быструю струю воздуха. Эта струя вовлекает в движение окружающий, более прохладный воздух. Быстрый поток воздуха над поверхностью кожи значительно ускоряет испарение влаги (пота) с её поверхности. Испарение — это процесс, требующий затрат энергии, которая забирается у кожи. В результате кожа охлаждается, и мы ощущаем прохладу.</p><p><strong>Ответ:</strong> Когда мы дышим, тепло передается от теплого выдоха и выделяется при конденсации пара на руке. Когда мы дуем, быстрый поток воздуха ускоряет испарение влаги с кожи, что вызывает её охлаждение.</p><p><strong>3.</strong> В чайнике было 2 кг воды при температуре 16 °С. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.</p><p><strong>Дано:</strong><br>Начальная масса воды $m_1 = 2$ кг<br>Конечная масса воды $m_2 = 1,9$ кг<br>Начальная температура воды $t_1 = 16$ °C<br>Температура кипения воды $t_{кип} = 100$ °C<br>Удельная теплоемкость воды $c = 4200 \frac{Дж}{кг \cdot °C}$<br>Удельная теплота парообразования воды $L = 2,3 \cdot 10^6 \frac{Дж}{кг}$<br><br>Все величины даны в системе СИ или совместимы с ней (градусы Цельсия для разности температур эквивалентны Кельвинам).</p><p><strong>Найти:</strong></p><p>Общее количество теплоты $\text{Q}$ - ?</p><p><strong>Решение</strong></p><p>Общее количество теплоты $\text{Q}$, израсходованное на процесс, складывается из двух частей:<br>1. Количества теплоты $Q_1$, необходимого для нагревания всей начальной массы воды от начальной температуры до температуры кипения.<br>2. Количества теплоты $Q_2$, необходимого для превращения части воды в пар при температуре кипения.<br>Общее количество теплоты: $Q = Q_1 + Q_2$.<br><br>Найдем количество теплоты, необходимое для нагревания воды:<br>$Q_1 = c \cdot m_1 \cdot (t_{кип} - t_1)$<br>$Q_1 = 4200 \frac{Дж}{кг \cdot °C} \cdot 2 \text{ кг} \cdot (100 °C - 16 °C) = 8400 \cdot 84 = 705600 \text{ Дж}$.<br><br>Найдем массу испарившейся воды:<br>$m_{исп} = m_1 - m_2 = 2 \text{ кг} - 1,9 \text{ кг} = 0,1 \text{ кг}$.<br><br>Найдем количество теплоты, необходимое для испарения этой массы воды:<br>$Q_2 = L \cdot m_{исп}$<br>$Q_2 = 2,3 \cdot 10^6 \frac{Дж}{кг} \cdot 0,1 \text{ кг} = 230000 \text{ Дж}$.<br><br>Теперь найдем общее количество теплоты:<br>$Q = Q_1 + Q_2 = 705600 \text{ Дж} + 230000 \text{ Дж} = 935600 \text{ Дж}$.<br>$Q = 935,6 \text{ кДж}$.<br><br><strong>Примерный график процессов:</strong><br>График зависимости температуры воды $\text{T}$ (в °C, по оси ординат) от полученного количества теплоты $\text{Q}$ (в Дж, по оси абсцисс) будет состоять из двух участков:<br>1. <em>Участок нагревания:</em> Прямая линия, идущая вверх из точки с координатами ($Q=0$, $T=16$) до точки ($Q=705600$, $T=100$). На этом участке вся подводимая теплота идет на увеличение температуры воды.<br>2. <em>Участок кипения:</em> Горизонтальная линия при постоянной температуре $T=100$ °C. Она начинается там, где закончился первый участок, и продолжается до точки ($Q=935600$, $T=100$). На этом участке вся подводимая теплота идет на парообразование, и температура воды не меняется.</p><p><strong>Ответ:</strong> Израсходовано 935600 Дж (или 935,6 кДж) теплоты. График состоит из наклонного участка нагрева от 16 °C до 100 °C и горизонтального участка кипения при 100 °C.</p>"
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            "text" => "<p><strong>1.</strong> Почему в холодных помещениях часто бывает сыро?</p><p>В воздухе всегда содержится некоторое количество водяного пара. Теплый воздух способен удерживать больше водяного пара, чем холодный. Когда теплый и влажный воздух соприкасается с холодными поверхностями в помещении (стенами, окнами), он охлаждается. При понижении температуры воздух достигает "точки росы" — состояния, когда он становится насыщенным водяным паром. Если охлаждение продолжается, избыточная влага конденсируется, превращаясь в капельки воды. Эти капли оседают на холодных поверхностях, что и создает ощущение сырости.</p><p><strong>Ответ:</strong> Сырость в холодных помещениях возникает из-за конденсации водяного пара, содержащегося в воздухе, на холодных поверхностях.</p><p><strong>2.</strong> Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?</p><p>Эти два действия вызывают разные физические процессы.<br>Когда мы медленно дышим на руку (выдох с открытым ртом), мы выдыхаем теплый (около 37 °C) и насыщенный водяным паром воздух из легких. Во-первых, этот теплый воздух передает тепло нашей руке. Во-вторых, водяной пар конденсируется на более холодной коже руки. Процесс конденсации происходит с выделением энергии (скрытой теплоты парообразования), что дополнительно согревает руку.<br>Когда мы дуем на руку (выдох через сжатые губы), мы создаем быструю струю воздуха. Эта струя вовлекает в движение окружающий, более прохладный воздух. Быстрый поток воздуха над поверхностью кожи значительно ускоряет испарение влаги (пота) с её поверхности. Испарение — это процесс, требующий затрат энергии, которая забирается у кожи. В результате кожа охлаждается, и мы ощущаем прохладу.</p><p><strong>Ответ:</strong> Когда мы дышим, тепло передается от теплого выдоха и выделяется при конденсации пара на руке. Когда мы дуем, быстрый поток воздуха ускоряет испарение влаги с кожи, что вызывает её охлаждение.</p><p><strong>3.</strong> В чайнике было 2 кг воды при температуре 16 °С. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.</p><p><strong>Дано:</strong><br>Начальная масса воды $m_1 = 2$ кг<br>Конечная масса воды $m_2 = 1,9$ кг<br>Начальная температура воды $t_1 = 16$ °C<br>Температура кипения воды $t_{кип} = 100$ °C<br>Удельная теплоемкость воды $c = 4200 \frac{Дж}{кг \cdot °C}$<br>Удельная теплота парообразования воды $L = 2,3 \cdot 10^6 \frac{Дж}{кг}$<br><br>Все величины даны в системе СИ или совместимы с ней (градусы Цельсия для разности температур эквивалентны Кельвинам).</p><p><strong>Найти:</strong></p><p>Общее количество теплоты $\text{Q}$ - ?</p><p><strong>Решение</strong></p><p>Общее количество теплоты $\text{Q}$, израсходованное на процесс, складывается из двух частей:<br>1. Количества теплоты $Q_1$, необходимого для нагревания всей начальной массы воды от начальной температуры до температуры кипения.<br>2. Количества теплоты $Q_2$, необходимого для превращения части воды в пар при температуре кипения.<br>Общее количество теплоты: $Q = Q_1 + Q_2$.<br><br>Найдем количество теплоты, необходимое для нагревания воды:<br>$Q_1 = c \cdot m_1 \cdot (t_{кип} - t_1)$<br>$Q_1 = 4200 \frac{Дж}{кг \cdot °C} \cdot 2 \text{ кг} \cdot (100 °C - 16 °C) = 8400 \cdot 84 = 705600 \text{ Дж}$.<br><br>Найдем массу испарившейся воды:<br>$m_{исп} = m_1 - m_2 = 2 \text{ кг} - 1,9 \text{ кг} = 0,1 \text{ кг}$.<br><br>Найдем количество теплоты, необходимое для испарения этой массы воды:<br>$Q_2 = L \cdot m_{исп}$<br>$Q_2 = 2,3 \cdot 10^6 \frac{Дж}{кг} \cdot 0,1 \text{ кг} = 230000 \text{ Дж}$.<br><br>Теперь найдем общее количество теплоты:<br>$Q = Q_1 + Q_2 = 705600 \text{ Дж} + 230000 \text{ Дж} = 935600 \text{ Дж}$.<br>$Q = 935,6 \text{ кДж}$.<br><br><strong>Примерный график процессов:</strong><br>График зависимости температуры воды $\text{T}$ (в °C, по оси ординат) от полученного количества теплоты $\text{Q}$ (в Дж, по оси абсцисс) будет состоять из двух участков:<br>1. <em>Участок нагревания:</em> Прямая линия, идущая вверх из точки с координатами ($Q=0$, $T=16$) до точки ($Q=705600$, $T=100$). На этом участке вся подводимая теплота идет на увеличение температуры воды.<br>2. <em>Участок кипения:</em> Горизонтальная линия при постоянной температуре $T=100$ °C. Она начинается там, где закончился первый участок, и продолжается до точки ($Q=935600$, $T=100$). На этом участке вся подводимая теплота идет на парообразование, и температура воды не меняется.</p><p><strong>Ответ:</strong> Израсходовано 935600 Дж (или 935,6 кДж) теплоты. График состоит из наклонного участка нагрева от 16 °C до 100 °C и горизонтального участка кипения при 100 °C.</p>"
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                    }
                    "parent_branches" => Illuminate\Database\Eloquent\Collection {#1292
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                        1 => App\Models\Branch {#1151}
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                      #escapeWhenCastingToString: false
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                    "content" => Illuminate\Database\Eloquent\Collection {#1293
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                        1 => App\Models\Element {#1313 …30}
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}
Вариант 5 (с. 74)
Условие. Вариант 5 (с. 74)
скриншот условия
Физика, 8 класс Дидактические материалы, авторы: Марон Абрам Евсеевич, Марон Евгений Абрамович, издательство Просвещение, Москва, 2022, белого цвета, страница 74, Условие

Вариант 5

1. Почему в холодных помещениях часто бывает сыро?

2. Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?

3. В чайнике было 2 кг воды при температуре $16 ^{\circ}\text{C}$. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.

Решение. Вариант 5 (с. 74)

1. Почему в холодных помещениях часто бывает сыро?

В воздухе всегда содержится некоторое количество водяного пара. Теплый воздух способен удерживать больше водяного пара, чем холодный. Когда теплый и влажный воздух соприкасается с холодными поверхностями в помещении (стенами, окнами), он охлаждается. При понижении температуры воздух достигает "точки росы" — состояния, когда он становится насыщенным водяным паром. Если охлаждение продолжается, избыточная влага конденсируется, превращаясь в капельки воды. Эти капли оседают на холодных поверхностях, что и создает ощущение сырости.

Ответ: Сырость в холодных помещениях возникает из-за конденсации водяного пара, содержащегося в воздухе, на холодных поверхностях.

2. Почему, если подышать себе на руку, чувствуешь теплоту, а если подуть, то ощущаешь прохладу?

Эти два действия вызывают разные физические процессы.
Когда мы медленно дышим на руку (выдох с открытым ртом), мы выдыхаем теплый (около 37 °C) и насыщенный водяным паром воздух из легких. Во-первых, этот теплый воздух передает тепло нашей руке. Во-вторых, водяной пар конденсируется на более холодной коже руки. Процесс конденсации происходит с выделением энергии (скрытой теплоты парообразования), что дополнительно согревает руку.
Когда мы дуем на руку (выдох через сжатые губы), мы создаем быструю струю воздуха. Эта струя вовлекает в движение окружающий, более прохладный воздух. Быстрый поток воздуха над поверхностью кожи значительно ускоряет испарение влаги (пота) с её поверхности. Испарение — это процесс, требующий затрат энергии, которая забирается у кожи. В результате кожа охлаждается, и мы ощущаем прохладу.

Ответ: Когда мы дышим, тепло передается от теплого выдоха и выделяется при конденсации пара на руке. Когда мы дуем, быстрый поток воздуха ускоряет испарение влаги с кожи, что вызывает её охлаждение.

3. В чайнике было 2 кг воды при температуре 16 °С. После того как воду нагрели до кипения и часть её испарилась, воды осталось 1,9 кг. Определите количество теплоты, которое израсходовано на получение кипятка. Начертите примерный график процессов, происходящих с водой.

Дано:
Начальная масса воды $m_1 = 2$ кг
Конечная масса воды $m_2 = 1,9$ кг
Начальная температура воды $t_1 = 16$ °C
Температура кипения воды $t_{кип} = 100$ °C
Удельная теплоемкость воды $c = 4200 \frac{Дж}{кг \cdot °C}$
Удельная теплота парообразования воды $L = 2,3 \cdot 10^6 \frac{Дж}{кг}$

Все величины даны в системе СИ или совместимы с ней (градусы Цельсия для разности температур эквивалентны Кельвинам).

Найти:

Общее количество теплоты $\text{Q}$ - ?

Решение

Общее количество теплоты $\text{Q}$, израсходованное на процесс, складывается из двух частей:
1. Количества теплоты $Q_1$, необходимого для нагревания всей начальной массы воды от начальной температуры до температуры кипения.
2. Количества теплоты $Q_2$, необходимого для превращения части воды в пар при температуре кипения.
Общее количество теплоты: $Q = Q_1 + Q_2$.

Найдем количество теплоты, необходимое для нагревания воды:
$Q_1 = c \cdot m_1 \cdot (t_{кип} - t_1)$
$Q_1 = 4200 \frac{Дж}{кг \cdot °C} \cdot 2 \text{ кг} \cdot (100 °C - 16 °C) = 8400 \cdot 84 = 705600 \text{ Дж}$.

Найдем массу испарившейся воды:
$m_{исп} = m_1 - m_2 = 2 \text{ кг} - 1,9 \text{ кг} = 0,1 \text{ кг}$.

Найдем количество теплоты, необходимое для испарения этой массы воды:
$Q_2 = L \cdot m_{исп}$
$Q_2 = 2,3 \cdot 10^6 \frac{Дж}{кг} \cdot 0,1 \text{ кг} = 230000 \text{ Дж}$.

Теперь найдем общее количество теплоты:
$Q = Q_1 + Q_2 = 705600 \text{ Дж} + 230000 \text{ Дж} = 935600 \text{ Дж}$.
$Q = 935,6 \text{ кДж}$.

Примерный график процессов:
График зависимости температуры воды $\text{T}$ (в °C, по оси ординат) от полученного количества теплоты $\text{Q}$ (в Дж, по оси абсцисс) будет состоять из двух участков:
1. Участок нагревания: Прямая линия, идущая вверх из точки с координатами ($Q=0$, $T=16$) до точки ($Q=705600$, $T=100$). На этом участке вся подводимая теплота идет на увеличение температуры воды.
2. Участок кипения: Горизонтальная линия при постоянной температуре $T=100$ °C. Она начинается там, где закончился первый участок, и продолжается до точки ($Q=935600$, $T=100$). На этом участке вся подводимая теплота идет на парообразование, и температура воды не меняется.

Ответ: Израсходовано 935600 Дж (или 935,6 кДж) теплоты. График состоит из наклонного участка нагрева от 16 °C до 100 °C и горизонтального участка кипения при 100 °C.

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