A) \[Z=\frac{p{{V}_{m}}}{RT}=1-\frac{ap}{RT}\]
B) \[Z=\frac{p{{V}_{m}}}{RT}=1+\frac{b}{RT}p\]
C) \[p{{V}_{m}}=RT\]
D) \[Z=\frac{p{{V}_{m}}}{RT}=1-\frac{a}{RT}\]
Correct Answer: A
Solution :
When pressure is low \[\left[ P+\frac{a}{{{V}^{2}}} \right]\left( V-b \right)=RT\] or \[PV=RT+Pb-\frac{a}{V}+\frac{ab}{{{V}^{2}}}\] or \[\frac{PV}{RT}=1-\frac{a}{VRT}\] \[Z=-\frac{a}{VRT}\] \[\left( \because \frac{PV}{RT}=Z \right)\]
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