Thermodynamics Question 42
In adiabatic expansion of a gas, the temperature decreases
[BCECE 2001; MP PET 2003]
Options:
A) $ \frac{3}{2} $
B) $ \frac{4}{3} $
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 -1/\gamma} $
So $ \frac{\gamma }{\gamma -1}=3\Rightarrow \gamma =\frac{3}{2}\Rightarrow \frac{C _{P}}{C _{V}}=\frac{3}{2} $
BETA
