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A van der Waal's gas obeys the equation ...

A van der Waal's gas obeys the equation of state `(P+(n^(2)a)/(V^(2)))(V-nb)=nRT`. Its internal energy is given by `U=CT-(n^(2)a)/(V^(2))`. The equation of a quasistatic adiabat for this gas is given by-

A

`T^(C//nR)` V=constant

B

`T^((C+nR)//nR)` V=constant

C

`T^(C//nR)` (V-nb)=constant

D

`P^((C+nR)//nR)` (V-nb)=constant

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The correct Answer is:
C
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The unit of the van der Waals gas equation parameter 'a' in (P+(an^(2))/(V^(2)))(V-nb)=nRT is :

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The equation of state of n moles of a non-ideal gas can be approximated by the equation (P + (n^(2)a)/(V^(2)))(V-nb) = nRT where a and b are constants characteristic of the gas. Which of the following can represent the equation of a quasistatic adiabat for this gas (Assume that C_V , the molar heat capacity at constant volume, is independent of temperature)?

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