A flask contains hydrogen and helium in the ratio 2 : 1 by mass. The temperature of the mixture is 27oC. Obtain the ratio of rms speeds of the molecules of the two gases. Molecular mass of hydrogen = 2, molecular mass of helium = 4.
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a
2 : 1
b
2:1
c
1 : 2
d
1 : 3
answer is B.
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Detailed Solution
Average KE of the molecule =12mvrms2 For hydrogen, 12mHvH2=32 kT …(1)For helium, 12mHevHe2=32kT …(2)So, vH2vHe2=MHeMH=42=2Or, vHvHe=2:1.