Calculate the ratio of the effusion of \(\mathrm{CO}\) and \(\mathrm{N}_2\), when temperature and pressure gradients are held constant?

The rate of effusion of a gas is inversely proportional to the square root of the mass of its particles. Rate of effusion \(\propto \frac{1}{\sqrt{\text { Molecular mass }}}\) If two gases \(\mathrm{CO}\) and \(\mathrm{N}_2\) are at the same temperature and pressure, the ratio of their effusion rates is inversely proportional to the ratio of the square roots of their molar masses. \(\frac{\text { Rate effusion of } \mathrm{CO}}{\text { Rate of effusion of } \mathrm{N}_2} \propto \frac{\sqrt{M_{\mathrm{N}_2}}}{\sqrt{M_{\mathrm{CO}}}}\) \(\Rightarrow \quad \sqrt{\frac{28}{28}} \Rightarrow 1: 1\) Hence, the correct option is (b).