Does a solid also have two kinds of molar heat capacities `C_p` and `C_v`? If yes , do we have `C_p gt C_v`? Is `C_p C_v = R`?

For an ideal monoatomic gas, molar heat capacity at constant volume (C_(v)) is

For an ideal gas C_(p) and C_(v) are related as

Write the values of C_p and C_v for a monoatomicgas

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.

Define C_p and C_V . Why is C_P gt C_V ? For an ideal gas, prove that C_P - C_V = R .

Molar heat capacity of gas whose molar heat capacity at constant volume is C_V , for process P = 2e^(2V) is :

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 .

An ideal gas is taken through a process in which the pressure and the volume are changed according to the equation p=kv . Show that the molar heat capacity of the gas for the process is given by (C=C_v + ( R)/(2) .