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Консультация № 188507

22.12.2015, 16:51

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Образование

Здравствуйте! Помогите с решением

При адиабатическом сжатии 6 кг сероводорода, занимающего объём 3 м в кубе при температуре 300К его давление увеличилось в 2 раза. Определить работу сжатия и изменения внутренней энергии газа.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

26.12.2015, 22:03

общий

это ответ

Здравствуйте, nekke100595!
Молекула сероводорода нелинейна, поэтому имеет 3 поступательные и 3 вращательные степени свободы (i=6)
Уравнение адиабаты:
pV^(i+2)/i=const
отсюда изменение объёма выражается через
V₀/V=(p/p₀)^i/(i+2)
Изменение температуры
T/T₀=pV/p₀V₀=(p/p₀)^1-i/(i+2)=2^1-6/8=⁴[$8730$]2=1,19
T=357 K
изменение внутренней энергии
[$916$]U=(i/2)(m/M)R(T-T₀)=3[$183$](6000г/34г/моль)[$183$]8,314Дж/(моль[$183$]К)[$183$](357-300)К=2,50[$183$]10⁵Дж=250 кДж
В адиабатическом процессе работа совершённая над газом равна приращению его внутренней энергии
A=[$916$]U-Q=[$916$]U-0=[$916$]U=250 кДж

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