Write the first law of thermodynamics for a gaseous system. Show that the expression of difference of heat capacities of a gas at constant pressure and at
constant volume is given by
Cp- Cv=((
∂v/
∂
v)_t+p) (∂
v/∂t)_p
Hence, using this expression calculate the difference of heat capacities Cp −Cv
for
van der Waal’s equation of state assuming internal energy is given by U
= − a/v+ constant.
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