Q.

At low pressure, the van der Waals equation is reduced to

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a

Z=pVmRT=1-apRT

b

Z=pVmRT=1-bRTp

c

pVm=RT

d

Z=pVmRT=1-aRT

answer is A.

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Detailed Solution

When pressure is lowP+aV2 V-b=RTor  PV=RT + Pb-aV+abV2   PVRT=1 - aVRT (since 'b' is negligible at low pressure) Z =1-aVRT ∵ PVRT=Z
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At low pressure, the van der Waals equation is reduced to