The dimensions of universal gas constant is

Options

A. `[ML^(2) T^(-2) theta^(-1)]`
B. `[ML^(2) T^(-2) theta]`
C. `[ML^(3) T^(-2) theta^(-1)]`
D. None of these

Answer

D

Explanation

(4) `PV = nRT`
`R = (PV)/(vT) : (j o u l e)/(mol e. K e l v i n)`
`[R] = (ML^(2) T^(-2))/(mol theta) - [ML^(2) T^(-2) theta^(-1) mol^(-1)]`