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$2.8 \mathrm{~g}$ 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 $\left(\mathrm{R}=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right)$
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$831 \mathrm{~J}$
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