Question

The ratio of the rates of diffusion of oxygen to unknown gas is 1:4 , the unknown gas is:

• A. $H_2$
• B. $D_2$
• C. $He$
• D. $C{H}_4$

Answer 1

Answer: (A)

$H_2$

Rate of diffusion of oxygen to another gas = 1:4

Molar mass of oxygen = 32 g/mol

Using Graham's law of diffusion,

$\frac{{rate}_1}{{rate}_2}=\sqrt{\frac{M_2}{M_1}}⟹\frac{1}{4}=\sqrt{\frac{M_2}{32}}\therefore M_2=\frac{32}{16}=2g/mol$

So, another gas is Hydrogen gas.