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Q.

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.
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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.