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Консультация № 168902
03.06.2009, 23:05
0.00 руб.
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Здравствуйте, помогите пожалуйста решить задачку: Тепловая машина работает с идеальным газом по циклу сост из двух изохор и двух адиабат. вычислить кпд цикла если отношение наибольшего объема рабочего вещества к наименьшему равно 3, и Cp/Cv = 1,4.
Обсуждение
Неизвестный
05.06.2009, 00:46
общий
при всех 4х процессах изменяется внутренняя энергия [$916$]U=K[$916$]T
Коэффициент K=(i/2)(m/[$956$])R
при адиабатическом расширении (T1 [$8594$] T2, T1 > T2) газ совершает работу [$916$]A12=-[$916$]U=K(T1-T2)
при изохорном процессе с уменьшением давления (T2 [$8594$] T3, T2 > T3) отдаётся количество теплоты [$916$]Q23=[$916$]U=K(T3-T2)
при адиабатическом сжатии (T3 [$8594$] T4, T4 > T3) над газом совершают работу [$916$]A34=-[$916$]U=K(T3-T4)
при изохорном процессе с увеличением давления (T4 [$8594$] T1, T1 > T4) принимается количество теплоты [$916$]Q41=[$916$]U=K(T1-T4)
кпд = ([$916$]A12+[$916$]A34)/[$916$]Q41
или
кпд = 1 + [$916$]Q23/[$916$]Q41
кпд = 1 - (T2-T3)/(T1-T4)
уравнения адиабат (показатель адиабаты [$946$] = Cp/Cv = 1,4)
T1V[$946$]-1 = T2(3V)[$946$]-1
T4V[$946$]-1 = T3(3V)[$946$]-1
отсюда
T1-T4 = 3[$946$]-1(T2-T3)
кпд = 1 - 1/3[$946$]-1 = 1 - 1/30.4 = 0.3556
Коэффициент K=(i/2)(m/[$956$])R
при адиабатическом расширении (T1 [$8594$] T2, T1 > T2) газ совершает работу [$916$]A12=-[$916$]U=K(T1-T2)
при изохорном процессе с уменьшением давления (T2 [$8594$] T3, T2 > T3) отдаётся количество теплоты [$916$]Q23=[$916$]U=K(T3-T2)
при адиабатическом сжатии (T3 [$8594$] T4, T4 > T3) над газом совершают работу [$916$]A34=-[$916$]U=K(T3-T4)
при изохорном процессе с увеличением давления (T4 [$8594$] T1, T1 > T4) принимается количество теплоты [$916$]Q41=[$916$]U=K(T1-T4)
кпд = ([$916$]A12+[$916$]A34)/[$916$]Q41
или
кпд = 1 + [$916$]Q23/[$916$]Q41
кпд = 1 - (T2-T3)/(T1-T4)
уравнения адиабат (показатель адиабаты [$946$] = Cp/Cv = 1,4)
T1V[$946$]-1 = T2(3V)[$946$]-1
T4V[$946$]-1 = T3(3V)[$946$]-1
отсюда
T1-T4 = 3[$946$]-1(T2-T3)
кпд = 1 - 1/3[$946$]-1 = 1 - 1/30.4 = 0.3556
Форма ответа
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