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Консультация № 176204

22.01.2010, 13:46

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Образование

Воздух, содержащийся в объеме 0,14 м^3 при давление 1,034 на10^5 Па, расширился изотермически до атмосферного давления, а затем охладившись при постоянном давлении, сжался до первоначального объема. Рассчитать работу, произведенную газом.

Обсуждение

давно

Мастер-Эксперт
226425
1567

22.01.2010, 19:04

общий

это ответ

Здравствуйте, Кузьмина Ирина Владимировна.
Тааакс, попробуем
Дано:
V₁=0.14 м³
p₁=1.034*10⁵ Па
p₂=1.013*10⁵ Па
Т₁=Т₂
p₂=p₃
V₃=V₁
Найти: А
Решение:
Работа изотермического процесса 1-2
A_1-2=(m/M)*R*T₁*ln(p₁/p₂)=p₁*V₁*ln(p₁/p₂) (1)
Работа изобарного процесса 2-3
А_2-3=p₂(V₃-V₂) (2)
Из уравнения Бойля-Мариотта
V₂=V₁*p₁/p₂
Тогда, после преобразований (2) получим
A_2-3=V₁(p₂-p₁) (2`)
Вся работа
A=A_1-2+A_2-3
A=V₁*(p₁(ln(p₁/p₂)-1)+p₂)
Надо проверить выкладки
и подставить числа
Удачи

Об авторе:
С уважением
shvetski

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