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  4. The root mean square speed of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become

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Q. The root mean square speed of hydrogen molecules at a certain temperature is $300 \,m/s$. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen, the r.m.s. speed will become

Kinetic Theory

Solution:

$v_{ rms }=\sqrt{\frac{3 R T}{M}}$
$T$ is doubled and $M$ is halved.
Therefore, r.m.s. speed will become two times or $600\, m / s$.