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Specific heat at constant pressureby rabbahs
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#1
Jan411, 01:32 PM

#2
Jan511, 09:12 AM

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I don't know if this will get you anywhere, but the change in [itex]C_P[/itex] with pressure is a classic problem in thermo (I remember getting it on an exam before I was familiar with it):
[tex]\left(\frac{\partial C_P}{\partial P}\right)_T=\frac{\partial}{\partial P}\left[\left(T\frac{\partial S}{\partial T}\right)_P\right]_T=T\frac{\partial}{\partial P}\left[\left(\frac{\partial S}{\partial T}\right)_P\right]_T=T\frac{\partial}{\partial T}\left[\left(\frac{\partial S}{\partial P}\right)_T\right]_P[/tex] Then we use a Maxwell relation to get [tex]T\frac{\partial}{\partial T}\left[\left(\frac{\partial V}{\partial T}\right)_P\right]_P=T\left(\frac{\partial^2 V}{\partial T^2}\right)_P[/tex] Thus, the change you're looking for is related to the second derivative of volume with temperature. This is zero for an ideal gas, but it may get you somewhere if you have a constitutive equation for a real gas. 


#3
Jan511, 01:10 PM

P: 13

thanks Mapes, i will look it to these equations and let you know



#4
Jan511, 01:33 PM

P: 13

Specific heat at constant pressure
could you kindly give me the reference of the book in which these relations related to specific heat are discussed ??



#5
Jan711, 12:45 PM

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Actually, nearly every thermodynamics book will define specific heat and explain Maxwell relations. Zemansky is pretty good.



#6
Jan811, 12:28 AM

P: 13

thanks



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