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At low pressure, the Vander Waal's equation is reduced to
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Verified Answer
The correct answer is:
$Z=\frac{p V_m}{R T}=1-\frac{a p}{R T}$
When pressure is low
$\left[P+\frac{a}{V^2}\right](V-b)=R T$
or $P V=R T+P b-\frac{a}{V}+\frac{a b}{V^2}$ or $\frac{P V}{R T}=1-\frac{a}{V R T}$
$Z=-\frac{a}{V R T}\left(\because \frac{P V}{R T}=Z\right)$
$\left[P+\frac{a}{V^2}\right](V-b)=R T$
or $P V=R T+P b-\frac{a}{V}+\frac{a b}{V^2}$ or $\frac{P V}{R T}=1-\frac{a}{V R T}$
$Z=-\frac{a}{V R T}\left(\because \frac{P V}{R T}=Z\right)$
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