10.3 Specific Heat Equations

With the help of Maxwell relations, the fundamental equations

 

dQ = Cv dT + l dv     (10.32)

 

and

 

dQ = Cp dT + l′ dp     (10.33)

 

can be put in a more useful form.

From Eq. 10.32 putting dT = 0,

 

image

 

By Maxwell's relation II,

 

image

 

Hence, Eq. 10.32 takes the following form

 

image

 

For a perfect gas,

 

image

 

Hence,

 

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