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The van der waal's gas equation is (P+a/...

The van der waal's gas equation is `(P+a/V^(2))(V-b)=RT`, where P is pressure, V is molar volume and T is the temperature of the given sample of gas. R is called molar gas constant, a and b are called van der waal's constants.
Which of the following does not posses the same dimensional formula as that for RT

A

PV

B

Pb

C

`a//V^(2)`

D

`ab//V^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"We have" (P+(a)/(v^(2)))(v-b)=RT`
`rArrPv-bP+(a)/(v)-(ab)/(v^(2))=RT`
`rArr [Pv]=[bP]=[(a)/(v)]=[(ab)/(v^(2))]=[RT]`
`"Hence [(a)/(v^(2))]!=[RT]`
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