(a) From the graph of Maxwell distribution of speeds in Fig. 3D.6, find the location that represents the most probable speed of the molecules at each temperature.

(b) What happens to the fraction of molecules having a speed in the narrow range Δv centered on the most probable speed, v_mp, as the temperature increases (Eq. 8)?

Fig. 3D.6

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0.004 0.003 Fraction, f(u)/(m-¹.s) 0.002 0.001 100 g-mol-¹ 25 g.mol-¹ 50 g-mol-¹ 100 200 300 400 500 600 Speed, v/(m-s-¹)