Thermodynamics Question 352
Question: A gas for which $ \gamma =1.5 $ is suddenly compressed to$ \frac{1}{4} $ th of the initial volume. Then the ratio of the final to the initial pressure is
Options:
A) 1 : 16
B) 1 : 8
C) 1 : 4
D) 8 : 1
Show Answer
Answer:
Correct Answer: D
Solution:
[d] $ P _{1}V _{1}^{\gamma }=P _{2}V _{2}^{\gamma } $
Therefore $ \frac{P _{2}}{P _{1}}={{[ \frac{V _{1}}{V _{2}} ]}^{\gamma }}={{[ \frac{4}{1} ]}^{3/2}}=\frac{8}{1} $
