The equation of state for real gas is given by `P + (a)/(V^(2))(V - b) = RT`. The dimension of the constant `a` is ………………. .

Options

A. `ML^(5)T^(-2)`
B. `ML^(-1)T^(-2)`
C. `M^(0)L^(3)T^(0)`
D. `M^(0)L^(6)T^(0)`

Answer

A

Explanation

By principal of dimensional homogenelty `[(a)/(V6(2))] = [P]`
`:. [a] = [P] [V^(2)]= [ML^(-1)T^(-2)] xx [L^(6)] = [Ml^(5)T^(-2)]`