In: Chemistry
It is known that the following relations are valid for a reversible, adiabatic process in an ideal gas: Tv^(gamma-1) = constant, Pv^gamma = constant, where gamma = Cp/Cv. how do these relations look for a van der waals gas?
van der waals gas equation for n mole is given by
(P+an2/V2)(V-nb)=nRT
For ideal gas we know that PV=const and
TV
-1=constant
where
=is the ratio of
two specific heat of gas which are at constant pressure and
constant volume respectively.
Now for van der waal gas we have
i) (P+a/V2)(V-b)=constant
and
ii) (V-b)R(RT)CV=constant