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Консультация № 161638
28.02.2009, 21:17
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Помогите пожалуйста!! Никак не получается решить задачу((((
6,6 г водорода расширяются изобарически до удвоения объема. Найти изменение энтропии при этом расширении.
6,6 г водорода расширяются изобарически до удвоения объема. Найти изменение энтропии при этом расширении.
Обсуждение
Неизвестный
28.02.2009, 23:21
общий
это ответ
Здравствуйте, Алексеева Ксения Юрьевна!
Вроде бы так:
___
m= 6,6 г= 6.6e-3 (кг)
водорода
mu= 2e-3 (кг/моль), молярная масса
i= 5, число степеней свободы для двухатомного газа
расширяются изобарически
p= const
до удвоения объема
V2/V1= 2
Найти изменение энтропии при этом расширении
S2-S1=?
___
малое изменение энтропии при малом подводе теплоты 'дQ'
dS= дQ/T (д= имеется в виду "дельта малая")
дQ= dU+дA
S2-S1= INT[1;2]((dU+дA)/T)
dU= (i/2)*(m/mu)*R*dT
при изобарном процессе
дA= p*dV
p*V= (m/mu)*R*T
p= (m/mu)*R*T/V
дA= ((m/mu)*R*T/V)*dV= ((m/mu)*R*T*dV/V)
S2-S1= INT[1;2](((i/2)*(m/mu)*R*dT+((m/mu)*R*T*dV/V))/T)
S2-S1= (m/mu)*R*INT[1;2](((i/2)*dT/T + (dV/V)))
S2-S1= (m/mu)*R*((i/2)*(ln(T2)-ln(T1))+ (ln(V2)-ln(V1)))
S2-S1= (m/mu)*R*((i/2)*ln(T2/T1)+ ln(V2/V1))
При изобарном расширении
T2/T1= V2/V1
S2-S1= (m/mu)*R*ln(V2/V1)*((i/2)+1 )
Ответ
S2-S1= (6.6e-3/2e-3)*8.314*ln(2)*((5/2)+1)= 67 (Дж/К)
Вроде бы так:
___
m= 6,6 г= 6.6e-3 (кг)
водорода
mu= 2e-3 (кг/моль), молярная масса
i= 5, число степеней свободы для двухатомного газа
расширяются изобарически
p= const
до удвоения объема
V2/V1= 2
Найти изменение энтропии при этом расширении
S2-S1=?
___
малое изменение энтропии при малом подводе теплоты 'дQ'
dS= дQ/T (д= имеется в виду "дельта малая")
дQ= dU+дA
S2-S1= INT[1;2]((dU+дA)/T)
dU= (i/2)*(m/mu)*R*dT
при изобарном процессе
дA= p*dV
p*V= (m/mu)*R*T
p= (m/mu)*R*T/V
дA= ((m/mu)*R*T/V)*dV= ((m/mu)*R*T*dV/V)
S2-S1= INT[1;2](((i/2)*(m/mu)*R*dT+((m/mu)*R*T*dV/V))/T)
S2-S1= (m/mu)*R*INT[1;2](((i/2)*dT/T + (dV/V)))
S2-S1= (m/mu)*R*((i/2)*(ln(T2)-ln(T1))+ (ln(V2)-ln(V1)))
S2-S1= (m/mu)*R*((i/2)*ln(T2/T1)+ ln(V2/V1))
При изобарном расширении
T2/T1= V2/V1
S2-S1= (m/mu)*R*ln(V2/V1)*((i/2)+1 )
Ответ
S2-S1= (6.6e-3/2e-3)*8.314*ln(2)*((5/2)+1)= 67 (Дж/К)
Форма ответа
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