Question

From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm³ s⁻¹. The diffusion of another gas under the same conditions is measured to have an average rate of 7.2 cm³ s⁻¹. Identify the gas. [Hint: Use Graham's law of diffusion: R₁/R₂ = (M₁/M₂)⁽¹÷²⁾ , where R₁ and R₂ are diffusion rates of gases 1 and 2, M₁ and M₂ their respective molecular masses. The law is a simple consequence of kinetic theory.]

Answer 1

Rate of diffusion of hydrogen, R1 = 28.7 cm3s–1
Rate of diffusion of another gas, R2 = 7.2 cm3s–1
According to Graham’s Law of diffusion, we have:


32 g is the molecular mass of oxygen. Hence, the unknown gas is oxygen.
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