A) \[-122{}^\circ C\]
B) \[-90{}^\circ C\]
C) \[60{}^\circ C\]
D) \[151{}^\circ C\]
Correct Answer: A
Solution :
Kinetic energy of a gas is directly proportional to its temperature. \[\therefore \] \[\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{T}_{1}}}{{{T}_{2}}}\] \[\Rightarrow \] \[\frac{K}{K/3}=\frac{273+180}{{{T}_{2}}}\] \[\Rightarrow \] \[3=\frac{453}{{{T}_{2}}}\] \[{{T}_{2}}=151\,K=151-273=-122{}^\circ C\]
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