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Консультация № 199859
13.12.2020, 13:01
0.00 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
30 г гелия нагревается от -20º С до +20º С при постоянном объеме. Найти
получаемое тепло и изменение энтропии.
Помогите пожалуйста
30 г гелия нагревается от -20º С до +20º С при постоянном объеме. Найти
получаемое тепло и изменение энтропии.
Помогите пожалуйста
Обсуждение
17.12.2020, 00:53
общий
это ответ
Здравствуйте, kefir-go!
Дано:
(He)
m=30*10-3 кг
T1=-20oC=253 K
T2=20oC=293 K
V=const
Найти:
Q; [$916$]S
Решение:
1. Для изохорного процесса
Q=[$916$]U (1) - первый закон термодинамики;
2. Изменение внутренней энергии
[$916$]U=(3/2)*(m/M)*R*[$916$]T (2)
Молярная масса гелия
M=4*10-3 кг/моль
Подставим известные значения в формулу (2), приравняем к Q, получаем
Q=[$916$]U=3.74*103 Дж = 3,74 кДж
3. [$916$]U=сV*m*(T2-T1) (3)
Отсюда удельная теплоемкость при постоянном объеме
сV=[$916$]U/m(T2-T1) (4)
сV=3,116*103 Дж/(кг*К)
4. Молярная теплоемкость при постоянном объёме
СV=сV*M (5)
CV=12,464 Дж/моль*К
5. Изменение энтропии
[$916$]S=(m/M)*CV*ln(T2/T1) (5)
[$916$]S=13,7 Дж/К
Ответ: 3,74 кДж; 13,7 Дж/К
Дано:
(He)
m=30*10-3 кг
T1=-20oC=253 K
T2=20oC=293 K
V=const
Найти:
Q; [$916$]S
Решение:
1. Для изохорного процесса
Q=[$916$]U (1) - первый закон термодинамики;
2. Изменение внутренней энергии
[$916$]U=(3/2)*(m/M)*R*[$916$]T (2)
Молярная масса гелия
M=4*10-3 кг/моль
Подставим известные значения в формулу (2), приравняем к Q, получаем
Q=[$916$]U=3.74*103 Дж = 3,74 кДж
3. [$916$]U=сV*m*(T2-T1) (3)
Отсюда удельная теплоемкость при постоянном объеме
сV=[$916$]U/m(T2-T1) (4)
сV=3,116*103 Дж/(кг*К)
4. Молярная теплоемкость при постоянном объёме
СV=сV*M (5)
CV=12,464 Дж/моль*К
5. Изменение энтропии
[$916$]S=(m/M)*CV*ln(T2/T1) (5)
[$916$]S=13,7 Дж/К
Ответ: 3,74 кДж; 13,7 Дж/К
5
Об авторе:
С уважением
shvetski
С уважением
shvetski
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