Question

Identify the pair of gases that have equal rates of diffusion:

• A. CO, NO
• B. \(N_2O\), CO
• C. \(N_2O\), \(CO_2\)
• D. \(CO_2\), \(NO_2\)

Hint:

Use Graham's Law to compare the rates of diffusion of gases. Gases with the same molar mass diffuse at the same rate.

Answer 1

The Correct Option is C

According to Graham's Law of Diffusion, the rate of diffusion of a gas is inversely proportional to the square root of its molar mass: \[ \text{Rate of diffusion} \propto \frac{1}{\sqrt{\text{Molar mass}}} \] For the gases \(N_2O\) (44 g/mol) and \(CO_2\) (44 g/mol), their molar masses are the same, meaning they will diffuse at the same rate. Thus, the correct answer is \(N_2O\) and \(CO_2\).