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

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

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The correct Answer is:
4
`mu = sqrt((3RT)/(M)) " and " alpha = sqrt((2RT)/(M))`
`mu_(x) = sqrt((3RT_(x))/(M_(x))) " and " alpha_(y) = sqrt((2RT_(y))/(M_(y)))`
Since `mu_(x) = alpha_(y)`
`:. (3RT_(x))/(M_(x)) = (2RT_(x))/(M_(y))`
or `M_(y) = (2T_(y))/(T_(x)) xx M_(x) = 2//3 xx (60)/(400) xx 40 = 4`
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