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The equation of the state of some gases ...

The equation of the state of some gases can be expressed as `(P +(a)/(V^(2))(V-b)=RT` . Here P is the pressure, V is the volume, T is the absolute temperature and a, b, R are constants. The dimensions of `(a)/(b)` are

A

`ML^5 T^(-2)`

B

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

C

`M^(0) L^(3) T^(0)`

D

`M^(0) L^(6) T^(0)`

Text Solution

Verified by Experts

The correct Answer is:
A
By principle of homogeneity
`[a/V^2]=[P]implies[a]=[ML^(-1)T^(-2)][L^3]^2=[ML^5T^(-2)]`
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