Q.

The compressibility factor for a real gas at high pressure is :

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a

1

b

1+PbRT

c

1−PbRT

d

1+RTPb

answer is B.

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Detailed Solution

van der Waals' equation for one mole of a real gas isP+aV2(V−b)=RTor PV=RT+Pb+abV2−aVAt high pressures, the vander Waals' gas equation reduces to PV = RT + Pbor     PVRT=1+PbRT∴Compressibility factor Z=PVRT=1+PbRT
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