The rms velocity of hydrogen is sqrt{7} times | vedclass

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(D) The formula for rms velocity is $v_{rms} = \sqrt{\frac{3RT}{M}}$.Given that $v_{rms(H_{2})} = \sqrt{7} v_{rms(N_{2})}$.Substituting the formula: $

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$T_{N_{2}} = 2 T_{H_{2}}$

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(D) The formula for rms velocity is $v_{rms} = \sqrt{\frac{3RT}{M}}$.Given that $v_{rms(H_{2})} = \sqrt{7} v_{rms(N_{2})}$.Substituting the formula: $\sqrt{\frac{3RT_{H_{2}}}{M_{H_{2}}}} = \sqrt{7} \sqrt{\frac{3RT_{N_{2}}}{M_{N_{2}}}}$.Squaring both sides: $\frac{T_{H_{2}}}{2} = 7 	imes \frac{T_{N_{2}}}{28}$.Simplifying: $\frac{T_{H_{2}}}{2} = \frac{T_{N_{2}}}{4}$.Therefore,$T_{N_{2}} = 2 T_{H_{2}}$.

The rms velocity of hydrogen is $\sqrt{7}$ times the rms velocity of nitrogen. If $T$ is the temperature of the gas,which of the following is true?

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