Question

The ratio of rms speeds of the gases in the mixture of nitrogen oxygen will be

• A. 1 : 1
• B. $\sqrt{3}:1$
• C. $\sqrt{8}:\sqrt{7}$
• D. $\sqrt{6}:\sqrt{7}$

Answer 1

Answer: (C)

$\sqrt{8}:\sqrt{7}$

Answer 2

$v_{rms} = \sqrt{\frac{3RT}{M}}$ ∴ $\frac{v_{N_{2}}}{v_{O_{2}}} = \sqrt{\frac{M_{O_{2}}}{M_{N_{2}}}} = \sqrt{\frac{32}{28}} = \sqrt{\frac{8}{7}}$