A) \[\frac{1}{2}\]
B) \[\frac{3}{4}\]
C) \[\frac{2}{3}\]
D) \[\frac{3}{8}\]
Correct Answer: D
Solution :
We know\[{{p}_{c}}=\frac{a}{27{{b}^{2}}},\,\,{{V}_{c}}=3b\] and \[{{T}_{c}}=\frac{8a}{27Rb}\] \[\frac{{{p}_{c}}{{V}_{c}}}{{{T}_{c}}}=\frac{a\times 3b\times 27Rb}{27{{b}^{2}}\times 8a}=\frac{3}{8}R\] \[\frac{{{p}_{c}}{{V}_{c}}}{R{{T}_{c}}}=\frac{3}{8}\] Compression factor,\[z=\frac{pV}{RT}=\frac{{{p}_{c}}{{V}_{c}}}{R{{T}_{c}}}=\frac{3}{8}\]
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