Using the Redlich-Kwong equation of state, compute the following quantities for nitrogen at 298.15 K. 

a. The difference C_P − C_V as a function of pressure from low pressures to very high pressures 

b. C_P as a function of pressure from low pressures to very high pressures. It is easier to first compute both C_P − C_V and C_V for chosen values of volume, then compute the pressure that corresponds to those volumes, and finally calculate C_P as the sum of (C_P − C_V) + C_V.