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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.

A

8

B

12

C

16

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
`V_(rms)=V_(mp)`
`sqrt(((3RT))/(M(X)))=sqrt((2RT')/(M(Y)))`
`rArr" "sqrt((3Rxx400)/(40))=sqrt((2Rxx60)/(M(Y)`
`rArr" "M(Y)=4`
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