A) 420K
B) \[{{327}^{o}}C\]
C) \[300K\]
D) \[-{{142}^{o}}C\]
Correct Answer: D
Solution :
\[{{T}^{\gamma }}{{P}^{1-\gamma }}=\]constant Þ \[T\propto {{P}^{\frac{\gamma -1}{\gamma }}}\] Þ \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{P}_{2}}}{{{P}_{1}}} \right)}^{\frac{\gamma -1}{\gamma }}}={{\left( \frac{1}{8} \right)}^{\frac{5/3-1}{5/3}}}\] \[{{T}_{2}}=300\times {{\left( \frac{1}{8} \right)}^{0.4}}=131K=-142{}^\circ C\]
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