The diffusion rate of helium in a lecture hall was found to be 25.0 m/s at 25$\degree$C.How long will it take poisonous phosgene gas, COCl₂, to diffuse 10.0 m in the same room?

Question

Quizplus · Accepted Answer

The rate of diffusion is inversely proportional to the square root of the molar mass. The molar mass of helium is 4.00 g/mol, and the molar mass of phosgene is 98.9 g/mol. Therefore, the rate of diffusion of phosgene will be 1/√(98.9/4.00) = 1/√24.7 = 0.200 times the rate of diffusion of helium. Thus, it will take 10.0 m / (0.200 * 25.0 m/s) = 2.01 s for phosgene to diffuse 10.0 m in the same room.

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The Diffusion Rate of Helium in a Lecture Hall Was $\degree$