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The equation of state of some gases can ...

The equation of state of some gases can be expressed as
`(p+(a)/(V^(2)))(V-b)=RT`
where, `p` is the pressure, `V` is the volume, `T` is the absolute temperature and `a, b and R` are constant. 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
`(a)/(V^(2)) ` is dimensionally equal to P
`(a)/((L^(3))^(2))= [M^(1)L^(-1)T^(-2)] rArr a = [M^(1)L^(5)T^(-2)]`
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