A) \[{{27.5}^{o}}C\]
B) \[{{75}^{o}}K\]
C) \[150\,K\]
D) \[{{150}^{o}}C\]
Correct Answer: C
Solution :
\[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{P}_{2}}}{{{P}_{1}}} \right)}^{\frac{\gamma -1}{\gamma }}}\]\[\Rightarrow \frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{1}{8} \right)}^{\frac{1.5-1}{1.5}}}={{\left( \frac{1}{8} \right)}^{\frac{1}{3}}}=\frac{1}{2}\] \[\Rightarrow {{T}_{2}}=\frac{{{T}_{1}}}{2}=\frac{300}{2}=150K\].
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