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Question

Two containers are maintained at the same temperature. The first one has a volume of 8 litres and stores hydrogen at 2 atm. The other one has a volume of 4 litres and stores oxygen at 1 atm. What is the ratio of the root mean square velocities of hydrogen and oxygen?

A
4:1
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B
1:4
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C
1:16
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D
16:1
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Solution

The correct option is A 4:1
vrms=3RTM
Since the temperature is constant, the velocities will only depend on the molecular masses of the gases stored.
vrms H2vrms O2=MO2MH2=322=4

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