Answer :

In kinetic theory of ideal gas, mean speed also known as average


speed is given as



Where R=gas constant=8.31Jmol-1K-1


T=temperature of gas


M=molar mass of gas


Molar mass of hydrogen molecule M(H)=2 amu


Molar mass of nitrogen molecule M(N)=28 amu


Mean speed of hydrogen molecule=



Mean speed of nitrogen molecule=



Temperature of both the gases is same.


Dividing equation (II) and (III) we get




The ratio of the mean speed of hydrogen molecules to the mean speed of nitrogen molecules in a sample containing a mixture of the two gases is 3.74.


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