[學習] Internal Pressure
問一題 Atkins' 裡的問題 p105 self-test
這邊講到 internal pressure πT= (dU/dV)T d:偏微
dU=(dU/dS)VdS + (dU/dV)SdV
(dU/dV)T=(dU/dS)V(dS/dV)T+(dU/dV)S
﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌﹌如何得到?
From Maxwell relation (dS/dV)T=(dP/dT)V
πT= (dU/dV)T = T(dP/dT)V-P
for Virial equation of state
Z= PVm/RT = 1+ B2V(T)/Vm + B3V(T)/Vm2 (平方) +....
P = RT/Vm + B2V(T)RT/Vm2 +B3V(T)RT/Vm3 +...
dP/dT = R/Vm + B2V(T)R/Vm2 +B3V(T)R/Vm3 +...
帶入 πT = T(dP/dT)V-P
= T(R/Vm + B2V(T)R/Vm2 +B3V(T)R/Vm3 +...)V -P
=(RT/Vm + B2V(T)RT/Vm2 +B3V(T)RT/Vm3 +...)V -P
=P - P
= 0
這樣 對嗎 ??
明天就要考了 還完全沒連起來 真糟...
--
※ 發信站: 批踢踢實業坊(ptt.cc)
◆ From: 59.115.93.29
推
12/03 00:18, , 1F
12/03 00:18, 1F
→
12/03 00:25, , 2F
12/03 00:25, 2F