The equation of state for a real gas such as hydrogen oxygen etc. is called the Van der waal's equation which reads: `-(P+(a)/(V^(2)))(V-b)-=n RT` where a and b are constants of the gas. The dimensional formula of constant a is:

Options

A. `M^(-1)L^(5)T^(-1)`
B. `ML^(5)T^(-2)`
C. `ML^(-1)T^(-1)`
D. None of these

Answer

B

Explanation

By principle of Homogeneity
`"dim"((a)/(V^(2)))=" dim "(P)`
`therefore ([a])/((L^(3))^(2))=[ML^(-1)T^(-2)]`
`rArr [a] =[ML^(5)T^(-2)]`
Thus, correct choice is (b).