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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))) = (R theta)/(V)` where P is the pressure V the volume,` theta`The temperature and a and b are constant .The dimensional formula of a is

A

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

B

`[M^(-1)L^(5)T^(2)]`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
a
By the principle if dimensional homoigeneily
`[P] = [(a)/(V^(2))] rArr [a] = [P] xx [V^(2)] = [ML^(-1)T^(-2)] [L^(6)]`
`= [ML^(5)T^(-2)]`
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