The Vander wal's equation for n moles of a real gas is given by `(P+(n^(2)a)/V^(2)) (V-nb)=nRT`, where
P pressure of gas, V= volume of gas, T= temperature of gas
R= molar gas constant, a & b= Van der waal's constant
Which of the following have the same dimensions as those of nRT.

Options

A. Only i `&` ii
B. Only ii `&` iii
C. Only i,ii `&` iii
D. i,ii,iii `&` iv

Explanation

Here `[P]=[(n^(2)a)/(V^(2))],[v]=[nb]` so `[PV]=[nRT]`
Also `[(aV)/(b^(2))]=[((PV^(2))/(n^(2)))(V)/((V//n)^(2))]=[PV]=[nRT]`
`rArr[(PV^(2))/(nb)]=n^(2)a`