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The Van der waal's equation for n moles ...

The Van der waal's equation for n moles of a real gas is given by `(P+(n^(2)a)/V^(2)) (V-nb)=nRT`, where
P pressure of gas, V= volume of gas, T= temperature of gas
R= molar gas constant, a & b= Van der waal's constant
Which of the following have the same dimensions as those of nRT.

A

`PV`

B

`(aV)/b^(2)`

C

`(PV^(2))/(nb)`

D

`(na)/b`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Here `[P]=[(n^(2)a)/V^(2)],[V]=[nb]` so `[PV]=[nRT]`
Also `[(aV)/b^(2)]=[((PV^(2))/n^(2))V/((V//n)^(2))]=[PV]=[nRT] rArr [(PV^(2))/(nb)]=n^(2)a`
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