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Консультация № 200709
Обсуждение
24.04.2021, 11:45
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
м3, 
м3 -- начальный и конечный объёмы одноатомного идеального газа в воздушном шарике; 
моль -- количество газа в воздушном шарике; 
-- закон изменения объёма газа; 
К; 
Дж/(моль[$183$]К) -- универсальная газовая постоянная.
Определить:
кДж -- работу, совершённую газом.
Из условия задачи имеем
откуда следует, что 
Далее, 
откуда следует, что 
Кроме того, поскольку 
постольку 
или 
Для политропного процесса имеет место соотношение 
где 
-- показатель политропы. Поэтому в данном случае 
Из уравнения состояния идеального газа имеем
По формуле для работы в политропном процессе получим
что в рассматриваемом случае даёт
(Дж)
кДж.
Ответ:
кДж.
Литература
Яворский Б. М., Детлаф А. А. Справочник по физике. -- М.: Наука, 1977. -- 944 с.
Предлагаю Вам следующее решение задачи.
Дано:
м3, м3 -- начальный и конечный объёмы одноатомного идеального газа в воздушном шарике; моль -- количество газа в воздушном шарике; -- закон изменения объёма газа; К; Дж/(моль[$183$]К) -- универсальная газовая постоянная.Определить:
кДж -- работу, совершённую газом.Решение
Из условия задачи имеем
откуда следует, что Далее, откуда следует, что Кроме того, поскольку постольку или Для политропного процесса имеет место соотношение где -- показатель политропы. Поэтому в данном случае Из уравнения состояния идеального газа имеем
По формуле для работы в политропном процессе получимчто в рассматриваемом случае даёт
(Дж) кДж.Ответ:
кДж.Литература
Яворский Б. М., Детлаф А. А. Справочник по физике. -- М.: Наука, 1977. -- 944 с.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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