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)?

Options

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

Answer

A