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  4. The r.m.s. velocity of oxygen molecule at 16° C is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at 127° C is

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Q. The r.m.s. velocity of oxygen molecule at $16^{\circ} C$ is 474 m/sec. The r.m.s. velocity in m/s of hydrogen molecule at $127^{\circ } C$ is

Kinetic Theory

Solution:

$v_{oxg} = \sqrt{\frac{3R \times289}{32}} \left(v_{rms} = \sqrt{\frac{3RT}{M}}\right)$
$v_{H} = \sqrt{\frac{3R \times400}{2}} $ so $v_{H} =2230.59\, m/\sec$