The diffusion rate of H₂ in a lecture hall was found to be 25.0 m/sec at 25 $\circ$ C.How long will it take poisonous HCN gas to diffuse 10 m in the same room?

Question

Quizplus · Accepted Answer

Graham's law of diffusion states that the rate of diffusion of a gas is inversely proportional to the square root of its molar mass. The molar mass of HCN is 27 g/mol, while the molar mass of H₂ is 2 g/mol. Therefore, the rate of diffusion of HCN will be 1/√(27/2) = 1/3 times the rate of diffusion of H₂. Since the rate of diffusion of H₂ is 25.0 m/sec, the rate of diffusion of HCN will be 25.0 m/sec / 3 = 8.33 m/sec. Therefore, it will take HCN 10 m / 8.33 m/sec = 1.2 s to diffuse 10 m.

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