1.

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'?

Answer»

<P>`M^(0)L^(3)T^(-2)`
`ML^(-2)T^(5)`
`ML^(5)T^(-2)`
`M^(0)L^(3)T^(0)`

SOLUTION :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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