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10 Gases Solutions to Exercises 10.9 (a) At constant temperature, the root mean square (rms) speed (as well as the average speed) of a collection of gas particles is inversely related to molar mass; the lighter the particle, the faster it moves. Therefore, curve B represents He and curve A represents O₂. Curve B has the higher rms speed and He is the lighter gas. Curve A has the lower rms speed and O₂ is the heavier gas. (b) For the same gas, average kinetic energy ( 1/2 and therefore root mean square speed is directly related to Kelvin temperature. Curve A is the lower temperature and curve is the higher temperature. (c) Fraction of Molecules A B Most probable speed rms speed 10.10 (a) Total pressure is directly related to total number of particles (or total mol particles). P(ii)