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 \[T\propto \frac{1}{{{p}^{(1-\gamma )/\gamma }}}\] \[{{T}^{(\gamma /\gamma -1)}}\propto p\] ... (ii) Comparing Eqs. (i) and (ii), we get \[\frac{\gamma }{\gamma -1}=3,\,3\gamma -3=\gamma ,\,\,2\gamma =3\] \[\frac{{{C}_{p}}}{{{C}_{v}}}=\gamma =\frac{3}{2}\]
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