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Question: If \(\bar{V}\)is the observed molar volume of real gas and \({\bar{V}}_{id}\)is the molar volume of ...

If Vˉ\bar{V}is the observed molar volume of real gas and Vˉid{\bar{V}}_{id}is the molar volume of an ideal gas then Z is ?

A

VˉVˉid\bar{V}{\bar{V}}_{id}

B

VˉVˉid\frac{\bar{V}}{{\bar{V}}_{id}}

C

VˉidVˉ\frac{{\bar{V}}_{id}}{\bar{V}}

D

Vˉ2Vˉid\frac{{\bar{V}}^{2}}{{\bar{V}}_{id}}

Answer

VˉVˉid\frac{\bar{V}}{{\bar{V}}_{id}}

Explanation

Solution

For ideal gas PVˉidRT\frac{P{\bar{V}}_{id}}{RT}= 1

\ Vˉid{\bar{V}}_{id}= RTP\frac{RT}{P}

For real gas, PVˉ=RTP\bar{V} = RT

PVˉRT=Z\frac{P\bar{V}}{RT} = Z

VˉVˉid=Z\frac{\bar{V}}{{\bar{V}}_{id}} = Z