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The equation of state of a real gas can ...

The equation of state of a real gas can be expressed as `(P+(a)/(V^(2)))(v-b)=cT,` where `P` is the pressure, `V` the volume, `T` the absolute temperature and `a,b,c` are constants. What are the dimensions of `a'`?

A

`M^(0)L^(3)T^(-2)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
By principle of homogeneity dimensions `((a)/(V^(2)))` dimension `(P)`.
`(a)/((L^(3))^(2))=ML^(-1)T^(-2)impliesa=[ML^(5)T^(-2)]`
So correct choice is `(c )`.
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