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Задать вопрос экспертам

Консультация № 184149

05.10.2011, 14:19

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Образование

Здравствуйте! Прошу помощи в следующем вопросе:

Обсуждение

давно

Гордиенко Андрей Владимирович

Мастер-Эксперт
17387
18345

05.10.2011, 20:06

общий

это ответ

Здравствуйте, Alejandro!

В состоянии 1 газ находится при давлении p₁ = 500 кПа = 5,00 [$183$] 10⁵ Па и занимает объём V₁ = 0,4 м³, а в состоянии 3 - при давлении p₃ = 200 кПа = 2,00 [$183$] 10⁵ Па и занимает объём V₃ = 0,2 м³. Тогда для [$957$] моль газа, согласно уравнению состояния, имеем
[$957$]RT₁ = p₁V₁, [$957$]RT₃ = p₃V₃. (1)

Число степеней свободы идеального трёхатомного газа принимают i = 6. Внутренняя энергия U газа будет определяться выражениями
U₁ = [$957$]iRT₁/2 = 3[$957$]RT₁, U₃ = [$957$]iRT₃/2 = 3[$957$]RT₃,
или, с учётом формул (1),
U₁ = 3p₁V₁, U₃ = 3p₃V₃,
откуда после вычислений находим
U₁ = 3 [$183$] 5,00 [$183$] 10⁵ [$183$] 0,4 = 6,00 [$183$] 10⁵ (Дж),
U₃ = 3 [$183$] 2,00 [$183$] 10⁵ [$183$] 0,2 = 1,20 [$183$] 10⁵ (Дж),
[$916$]U = U₃ - U₁ = (1,20 - 6,00) [$183$] 10⁵ = -4,80 [$183$] 10⁵ (Дж) = -0,480 МДж.

Ответ: -0,480 МДж.

С уважением.

5

Спасибо, большое. Всё разобрался!

Об авторе:
Facta loquuntur.

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