A) \[32\]
B) \[40/3\]
C) \[24/5\]
D) \[8\]
Correct Answer: A
Solution :
In an adiabatic process, \[p{{V}^{\gamma }}=\]constant \[\Rightarrow \] \[\frac{{{p}_{1}}}{{{p}_{2}}}={{\left( \frac{{{V}_{2}}}{{{V}_{1}}} \right)}^{\gamma }}\] \[\Rightarrow \] \[\frac{{{p}_{1}}}{{{p}_{2}}}={{\left( \frac{1}{8} \right)}^{5/3}}\] \[\Rightarrow \] \[\frac{{{p}_{1}}}{{{p}_{2}}}={{\left( \frac{1}{{{2}^{3}}} \right)}^{5/3}}\] \[=\frac{1}{32}\]
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