Find 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.
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.