A) zero under constant pressure
B) double the original value
C) proportional to change in volume
D) proportional to change in temperature
Correct Answer: D
Solution :
Since, \[p=\frac{1}{3}\frac{mn{{c}^{2}}}{V}=\frac{2}{3}\frac{{{E}_{k}}}{V}\] \[{{E}_{k}}=\frac{3}{2}PV=\frac{3}{2}RT\] Hence, \[{{E}_{k}}\propto T\] Therefore, kinetic energy i.e., internal energy is proportional to change in temperature.
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