What is the unit of 'a' in terms of fundamental units in Van der waal's equation
`(P+(a)/(V^(2)))(V-b)=RT`?

Options

A. `ML^(5)T^(-2),L^(3)`
B. `ML^(-1)T^(-1),L^(3)`
C. `MLT,L^(2)`
D. None of these

Answer

A

Explanation

`a"/"V^(2)`, must have same dimensions as that of pressure, P.
`(a)/(L^(6))=ML^(-1)T^(-2) implies [a]= ML^(5)T^(-2)`
Dimensions of b must be same as that of V.
`[b]= L^(3)`.
Hence option a is correct.