In: Other
(a) Starting from entropy as a function of pressure and volume, S(P, V), show that
d S = C V T ( ∂ T ∂ P ) V d P + C P T ( ∂ T ∂ V ) P d V
For a certain gas that follows the following equation of state:
P(V-b) = RT
Where b is a constant
(b) Starting from the above relationship show that P(V-b)γ=constant for the reversible adiabatic process. Assume constant heat capacity and γ=CP/CV as that for the ideal gas.