A) 4/3
B) 2
C) 5/3
D) 3/2
Correct Answer: D
Solution :
Given:\[P\propto {{T}^{3}}\] In an adiabatic process \[{{T}^{\gamma }}{{P}^{1-\gamma }}=\]constant \[T\propto \frac{1}{{{p}^{(1-\gamma )/\gamma }}}\] \[{{T}^{(\gamma /\gamma -1)}}\propto P\] Comparing Eqs. (i) and (ii), we get \[\therefore \] \[\frac{\gamma }{\gamma -1}=3\] \[3\gamma -3=\gamma \] \[2\gamma =3\] \[\frac{{{C}_{P}}}{{{C}_{V}}}=\gamma =\frac{3}{2}\]
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