Q.

The rms velocity of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen. The rms speed of the gas molecules now is __________ms-1.

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answer is 600.

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Detailed Solution

We use vms=3RTM⇒ v1v2=T1M2T2M1⇒ v2=T2M1T1M2=300×v12T1M1T1×M1/2=600m/s
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The rms velocity of hydrogen molecules at a certain temperature is 300 m/s. If the temperature is doubled and hydrogen gas dissociates into atomic hydrogen. The rms speed of the gas molecules now is __________ms-1.