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Solution: Consider the following drawing.For each curve, which speed is highest: the most probable speed, the root-mean-square speed, or the average speed?

Problem

Consider the following drawing.

A graph shows fraction of molecules versus molecular speed for gases A and B. Gas A peaks higher and to the left of gas B. The x axis is molecular speed and the y axis is fraction of molecules (both axes are unscaled). Gas A rises to a peak about two-thirds of the way up the y axis with the peak at about one quarter the length of the x axis. Gas B rises to a broad, lower peak about one third of the way up the y axis and about halfway across the x axis.

For each curve, which speed is highest: the most probable speed, the root-mean-square speed, or the average speed?