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The van der Waal's equation of state for...

The van der Waal's equation of state for some gases can be expressed as :
`(P + (a)/( V^(2))) ( V - b) = RT`
Where `P` is the pressure , `V` is the molar volume , and `T` is the absolute temperature of the given sample of gas and `a, b , and R` are constants.
Which of the following does not have the same dimensional formula as that for `RT?`

A

PV

B

Pb

C

`a/V^(2)`

D

`(ab)/V^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`[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]`
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