A) \[300\,{{(4)}^{1.4/0.4}}\]
B) \[300\,{{\left( \frac{1}{4} \right)}^{-0.4/1.4}}\]
C) \[300\,{{(2)}^{-0.4/1.4}}\]
D) \[300\,{{(4)}^{-0.4/1.4}}\]
Correct Answer: D
Solution :
For adiabatic process \[\frac{{{T}^{\gamma }}}{{{P}^{\gamma -1}}}=\]constant Þ\[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{P}_{1}}}{{{P}_{2}}} \right)}^{\frac{1-\gamma }{\gamma }}}\]Þ\[\frac{{{T}_{2}}}{300}={{\left( \frac{4}{1} \right)}^{\frac{(1-1.4)}{1.4}}}\]Þ\[{{T}_{2}}=300{{(4)}^{-\frac{0.4}{1.4}}}\]
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