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Консультация № 154464

15.12.2008, 18:11

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Образование

Помогите: Во сколько раз увеличится объем водорода, содержащий количество вещества v = 0,4моль при изотермическом расширении, если при этом газ получит количество теплоты Q = 800Дж? Температура водорода Т = 300К.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

15.12.2008, 20:36

общий

это ответ

Здравствуйте, Петров Петр Сергеевич!
Пусть давление равно p.
Исходный объём V₁=R*v*T/p
При изотермическом процессе внутренняя энергия неизменна, а работа равна количеству полученной теплоты и расчитывается по формуле Q=A=p*[$916$]V
Отсюда изменение объёма [$916$]V=Q/p
Конечный объём V₂=V₁+[$916$]V и искомое отношение
V₂/V₁=(V₁+[$916$]V)/V₁=1+[$916$]V/V₁=1+(Q/p)/(R*v*T/p)=1+Q/(R*v*T)=1+800Дж/(8,314Дж/(моль*К)*0,4моль*300К)=1,8
Объём увеличивается в 1,8 раз

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