Question:
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 :
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 :
Updated On: Jul 7, 2022
- equal to that of helium
- twice that of helium
- half that of helium
- $\sqrt{2}$ times that of helium
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The Correct Option is D
Solution and Explanation
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.
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