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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
According to given equation , `PV + (a)/(V) - pb - ( ab)/(V^(2)) = RT`
As dimensions of all the terms on `LHS` must be equal to dimensions of term `RT on RHS , a//V^(2)` does not have the same dimensional formula as that of `R//T`.
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