A) \[350\times {{4}^{0.4}}K\]
B) \[300\times {{4}^{0.4}}\]K
C) \[150\times {{4}^{0.4}}\]K
D) None of these
Correct Answer: B
Solution :
For adiabatic change \[T{{V}^{\gamma -1}}\]= constant Þ \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma -1}}\]Þ \[{{T}_{2}}={{\left( \frac{{{V}_{1}}}{{{V}_{2}}} \right)}^{\gamma -1}}\times {{T}_{1}}\] Þ \[{{T}_{2}}={{\left( \frac{V}{V/4} \right)}^{1.4-1}}\times 300\] \[=300\times {{(4)}^{0.4}}K\]
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