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