A) \[128\,\,times\]
B) \[32\,\,times\]
C) \[8\,\,times\]
D) \[16\,\,times\]
Correct Answer: B
Solution :
Initial volume\[{{V}_{1}}=V\] Final volume\[{{V}_{2}}=\frac{V}{8}\] For monoatomic gas\[\gamma =\frac{5}{3}\] The relation for adiabatic change \[{{P}_{1}}V_{1}^{\gamma }={{P}_{2}}V_{2}^{\gamma }\] \[\frac{{{P}_{2}}}{{{P}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma }}={{\left( \frac{V}{\frac{V}{8}} \right)}^{\gamma }}={{(8)}^{5/3}}=32\]
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