Question:
At what temperature is the rms velocity of hydrogen molecule equal to that of an oxygen molecule at $47\,^{\circ}C$?
At what temperature is the rms velocity of hydrogen molecule equal to that of an oxygen molecule at $47\,^{\circ}C$?
Updated On: Jul 6, 2022
- $10 \,K$
- $20 \,K$
- $30 \,K$
- $40 \,K$
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The Correct Option is B
Solution and Explanation
$v_{rms} = \sqrt{\frac{3RT}{m}}$
Now, rms velocity of $H_{2}$ molecule = rms velocity of $O_{2}$ molecule
$\sqrt{\frac{3R\times T}{2}}= \sqrt{\frac{3R\times\left(47+273\right)}{32}}$
$T = \frac{2\times320}{32} = 20\,K$
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