Sol: The enthalpy is total energy of gaseous system. It takes into consideration, internal energy and pressure, volume effect. Thus, it can be defined as follows:
h = u + Pv
H = U + PV
Where v is specific volume and V is the whole volume of m Kg gas. h is specific enthalpy where as H is total enthalpy of m kg gas u is specific internal energy while U is total internal energy of m kg gas. From ideal gas equation,
Pv = RT
h = u + RT
h = f (T) + RT Thus, h is also function of temperature for perfect gas.
Therefore, h is also function of temperature for the perfect gas.