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The gas equation for n moles of a real gas is: P+aV2(V−b)=nRT where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and a, b are arbitrary constants. Which of the following has/have the same dimensions as those of PV?

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a

nRT

b

a/V

c

Pb

d

ab/V2

answer is A.

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Detailed Solution

[P]=aV2⇒[PV]=aValso [PV]=aV=abV2 [∴[b]=[v]]as [b]=[V] So [Pb]=[PV]

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The gas equation for n moles of a real gas is: P+aV2(V−b)=nRT where P is the pressure, V is the volume, T is the absolute temperature, R is the molar gas constant and a, b are arbitrary constants. Which of the following has/have the same dimensions as those of PV?