Question:
At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^\circ$C ?
At what temperature is the rms velocity of a hydrogen molecule equal to that of an oxygen molecule at $47^\circ$C ?
Updated On: Jul 28, 2022
- 80 K
- -73 K
- 3 K
- 20 K.
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The Correct Option is D
Solution and Explanation
Let $\sqrt{\frac{3Rt_r}{M_r}} = \sqrt{\frac{3Rt_0}{M_0}}$ ($\because \, rms$ velocities are same)
$i.e.$ $t_r = \frac{M_r t_0}{M_0} = \frac{2}{32} \times 320$ = 20 K.
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