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Question

# Two containers A and B contain ideal gases, helium and oxygen respectively. Volume of both containers are equal, and pressure is also equal. Container A has twice the number of molecules than container B. If VA and VB represent the rms speed of gases in containers A and B respectively, then

A
VAVB=2
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B
VAVB=4
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C
VAVB=2
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D
VAVB=8
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Solution

## The correct option is C VAVB=2As we know that the ideal gas is given by : PV=nRT For A:PV=2nRTA…(1) For B:PV=nRTB…(2) Given that pressure and volume are same therefore, from equations (1) and (2)khj TB=2TA RMS speed of gas is given by : Vrms=√3RTM VAVB=√3RTA4√3RTB32 VAVB=√3RTA4√3RTA32=2 VAVB=2

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