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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.
The dimensions of ` a` are

A

`[ML^(5)T^(-2)]`

B

`[ML^(-1)T^(-2)]`

C

`[L^(3)]`

D

`[L^(6)]`

Text Solution

Verified by Experts

The correct Answer is:
a
D.F. for a = D.F. for `PV^(2)`
`=[ML^(-1) T^(-2)][L^(3)]^(2)`
`=[ML^(5)T^(-2)]`
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