(a) making use of the fact that eq. (6.21) is an exact differential expression, show that: (∂cp/∂p)t = −t(∂2v/∂t2 )p what is the result of application of this equation to an ideal gas? final pdf to printer 6.10. problems 251 smi96529_ch06_210-263.indd 251 12/26/16 06: 13 pm (b) heat capacities cv and cp are defined as temperature derivatives respectively of u and h. because these properties are related, one expects the heat capacities also to be related. show that the general expression connecting cp to cv is: cp = cv + t ( ∂ ∂t ) v ( ∂ ∂t ) p show that eq. (b) of ex. 6.2 is another form of this expression.