The van der waal's gas equation is `(P+a/V^(2))(V-b)=RT`, where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants.
Which of the following does not posses the same dimensional formula as that for RT

Options

A. PV
B. Pb
C. `a/V^(2)`
D. `(ab)/V^(2)`

Answer

C

Explanation

`[PV]=[RT], [Pb]=[PV]=[RT]`
`[a/V^(2)]=[(PV^(2))/V^(2)]=[P] ne [RT]` and
`[(ab)/V^(2)]=[((PV^(2))V)/V^(2)]=[PV]=[RT]`