Thermodynamics Question 42
Question: In adiabatic expansion of a gas
[BCECE 2001; MP PET 2003]
Options:
A) $ \frac{3}{2} $
B) $ \frac{4}{3} $
C) 2
D) $ \frac{5}{3} $
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Answer:
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} $
