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Уважаемые коллеги, прошу помощи, подскажите, пожалуйста... Текст: Газ совершает цикл Карно. Работа изотермического расширения газа равна 5 Дж. Определить работу изотермического сжатия. Термический кпд цикла равен 0,2.
Спасибо, Благодарю за помощь Константин shvetski
Обсуждение
Неизвестный
23.10.2009, 02:03
общий
это ответ
Здравствуйте, Shvetski.
Работа сжатия равна работе расширения минус полезная работа, которая составляет КПД*работу расширения, т.е. 5 - 5*0.2 = 4 Дж
Воробьёв Алексей Викторович: Спасибо, конечно, но у меня не укладывается в голове следующее: в задаче сказано "работа изотермического расширения 5 Дж", но ведь есть еще и адиабатическое расширение, как быть с ним? Насколько мне известно, цикл Карно состоит из двух изотерм и двух адиабат.
Об авторе:
С уважением shvetski
Неизвестный
23.10.2009, 09:34
общий
При адиабатическом расширении работа равна изменению внутренней энергии, которое пропорционально изменению температуры. При абатическом сжатии над газом будет совершена работа, которая тоже равна изенению внутренней энергии, которое тоже пропорцинально изменению температуры. Так как изменение температуры в этих процессах одинаково по величине и противоположно по знаку, то суммарная работа на адиабатических участках равна 0. Т.о. полезная работа на всём цикле равна разности работ при расширении и при сжатии. При этом при изотермическом процессе вся работа совершается за счёт поступающего тепла, т.е. A=A1-A2=Q1-Q2, а КПД считается как nu=A/Q1=A/A1, т.е. A2=A1-A=A1(1-A/A1)=A1(1-A/Q1)=A1(1-nu)=A1-A1*nu=5-0.2*5=4Дж
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