1.

In (P+(a)/(V^(2)))(V-b)=RT equation the, a,b will be ..... Where P= Pressure V= Volume and T= Temperature .

Answer»

<P>`M^(1)L^(2)T^(-2)`
`M^(1)L^(8)T^(-2)`
`M^(1)L^(2)T^(-2)K^(1)`
`M^(1)L^(8)T^(-2)K^(-1)`

Solution :Here `P+(a)/(V^(2))` is GIVEN,
`:.` Dimensional FORMULA of `(a)/(V^(2))=` Dimensional
`:.` Dimensional formula of a= Dimensional formula of `PV^(2)`
`=M^(1)L^(-1)T^(-2)(L^(3))^(3) "" [P]=[M^(1)L^(-1)T^(-2)]`
`=M^(1)L^(-1)(T^(-2))(L^(6))[V]=L^(3)`
`:. [a]=M^(1)L^(5)T^(-2)""...(i)`
We have `V-b "" :. V=b`
`:.` Dimensional formula of V= Dimensional formula of b
`:. [b]=L^(3)....(ii)`
`:. [a*b]=M^(1)T^(5)L^(-2)(L^(3))=M^(1)L^(8)T^(-2)`


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