What are the dimensions of gas constant ?

Options

A. `[M L T^(-2) K^(-1)]`
B. `[M^(0) L T^(-2) K^(-1)]`
C. `[M L^(2) T^(-2) K^(-1) mol^(-1)]`
D. `[M^(0) L^(2) T^(-2) K^(-1)]`

Answer

C

Explanation

`PV = nRT rArr R = (PV)/( nT) = (ML^(-1)T^(-2) xx L^(3))/(mol xx K)`
` = [ ML^(2)T^(-2)K^(-1) mol^(-1)]`