For a Van der Walls gas find :
(a) the equation of the adiabatic curve in the variables `T, V` ,
the difference of the molar heat capacities `C_p - C_v` as a function of `T` and `V`.

For the case of an ideal gas find the equation of the process (in the variables T, V ) in which the molar heat capacity varies as : (a) C = C_V + alpha T , (b) C = C_V + beta V , ( c) C = C_v + ap , where alpha, beta and a are constants.

What is the significance of the heat capacity ratio C_P/C_V for a gas ?

For an ideal gas the molar heat capacity varies as C=C_V+3aT^2 . Find the equation of the process in the variables (T,V) where a is a constant.

For an ideal gas the molar heat capacity varies as C=C_V+3aT^2 . Find the equation of the process in the variables (T,V) where a is a constant.

Define heat capacity and molar heat capacity. How are C_p and C_v related?