The. van der Waal's equation of law of corresponding states for 1 mole of gas is :

Options

A. `(pi + 3/(phi^2)) (3 phi - 1) = 8 theta`
B. `(pi + 3/(phi))(3 phi - 1) = 8 theta`
C. `(pi + 3/(phi)) (3 phi + 1) =8 R theta`
D. `(pi + 3/(phi)) (3 phi - 1) = 8 R theta`

Answer

A

Explanation

`(P - a/(V^2) (V - b) = RT`
`P = pi P_C = (pi .a)/(27 b^2 ) , V = phi , V_C = 3bphi`
`T = theta T_C = (a theta)/(27 Rb)`
`implies ((pi a)/(27 b^2) + a/(9 b^2 phi^2)) (3 b phi - b) = (R xx a theta)/(27 Rb)`
`implies (pi + 3/(phi^2)) (3 phi - 1) = 8 phi`.