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Задать вопрос экспертам

Консультация № 178937

06.06.2010, 00:04

43.38 руб.

0 1 1

Образование

Уважаемые эксперты, помогите решить задачу.

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1. Круговой процесс на диаграмме T, S изображается эллипсом, показанном на рисунке. Используя данные, приведенные на рисунке, определить работу A, совершаемую рабочим телом за цикл.
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Условие задачи и рисунок вот тут: Задача 2.124.

Обсуждение

давно

Roman Chaplinsky / Химик CH

Модератор
156417
2175

06.06.2010, 01:02

общий

это ответ

Здравствуйте, Самойленко Николай Алексеевич.
Одно из определений энтропии dS=dQ/T
Выражаем дифференциал теплоты dQ=T*dS
Верхняя половина эллипса (энтропия увеличивается) представляет процесс, в котором теплота поглощается рабочим телом, а нижняя (энтропия уменьшается) - процесс, в котором теплота выделяется.
В каждом из этих процессов поглощённое/выделенное количество теплоты равно _S1^S2[$8747$]T*dS, что соответствует площади криволинейной трапеции, образованной данной кривой, опущенными из её концов на Ох перпендикулярами и заключённым между этими перпендикулярами отрезком оси Ох.
Работа равна разности поглощённой и отданной теплоты, что соответствует площади эллипса.
A=3,14*(500-300)К*(700-400)Дж/К=1,88*10⁵ Дж=188 кДж

5

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