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  4. Two vessels having equal volume contain molecular hydrogen at one atmosphere and helium at two atmospheres respectively . If both samples are at the same temperature ,the rms velocity of hydrogen molecules is :

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Q. Two vessels having equal volume contain molecular hydrogen at one atmosphere and helium at two atmospheres respectively . If both samples are at the same temperature ,the rms velocity of hydrogen molecules is :

Kinetic Theory

Solution:

Given $V _{ RMS }=\sqrt{\frac{3 RT }{ M }}$
i.e. Ratio of RMS velocities $=\sqrt{\frac{T M_{\text {helim }}}{T M_{\text {hydrogen }}}}$
Both the temperatures are equal.
Ratio of RMS velocities $=\sqrt{\frac{4}{1}}=2$
Hence RMS velocity of hydrogen would be twice as much as the RMS for helium.