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At 400 K, the root mean square (rms) spe...

At `400 K`, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is.

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The correct Answer is:
4
`u_(rms)=alpha_(mp)`
`sqrt((3RT)/(M_(X)))= sqrt((2RT)/(M_(Y)))`
`= sqrt((3R xx 400)/(40))=sqrt((2R xx 60)/(M^(Y)))`
`M_(Y)=4`
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