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The equation of state of n moles of a no...

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)?

A

`T(V-nb)^(R//C_v)`=constant

B

`T(V-nb)^(C_v//R)`=constant

C

`(T+(ab)/(V^2R))(V-nb)^(R//C_v)`=constant

D

`(T+(n^2ab)/(V^2R))(V-nb)^(C_v//R)`=constant

Text Solution

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The correct Answer is:
A
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