A) \[\frac{3}{2}\]
B) \[\frac{4}{3}\]
C) 2
D) \[\frac{5}{3}\]
Correct Answer: A
Solution :
Given \[P\propto {{T}^{3}}\], but we know for an adiabatic process, the pressure \[P\propto {{T}^{\gamma /\gamma -1}}\] So \[\frac{\gamma }{\gamma -1}=3\Rightarrow \gamma =\frac{3}{2}\Rightarrow \frac{{{C}_{P}}}{{{C}_{V}}}=\frac{3}{2}\]
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