A) \[\frac{5}{4}\]
B) \[\frac{5}{3}\]
C) \[\frac{5}{2}\]
D) \[\frac{3}{5}\]
Correct Answer: C
Solution :
[c] \[P{{V}^{\gamma }}=k\] \[{{P}^{1-\gamma }}\,{{T}^{\gamma }}=k\] \[P=k{{T}^{{}^{-\gamma }/{}_{1-\gamma }}}\] For monoatomic gas \[(\gamma )=\frac{5}{3}\] \[C=\frac{-\gamma }{1-\gamma }=\frac{\gamma }{\gamma -1}\] \[C=\frac{\frac{5}{3}}{\frac{5}{3}-1}=\frac{5}{2}\]
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