$2.8 \mathrm{~g}$ of nitrogen gas is in a vessel at a temperature $127^{\circ} \mathrm{C}$. The amount of heat energy required to increase the rms speed of the nitrogen molecules by $41.4 \%$ is $\left(\mathrm{R}=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$

• A

  $376 \mathrm{~J}$
• B

  $415 \mathrm{~J}$
• C

  $1662 \mathrm{~J}$
• Correct answer
  D

  $831 \mathrm{~J}$

Hence, the correct answer is option: 'D'.