Equations 21.42 and 21.43 show that vrms . vavg for acollection of gas particles, which
Chapter 21, Problem 74(choose chapter or problem)
Equations 21.42 and 21.43 show that vrms . vavg for acollection of gas particles, which turns out to be truewhenever the particles have a distribution of speeds.Let us explore this inequality for a two-particle gas. Let the speed of one particle be v1 5 avavg and the otherparticle have speed v2 5 (2 2 a)vavg. (a) Show that theaverage of these two speeds is vavg. (b) Show thatv2rms 5 v2avg (2 2 2a 1 a2)(c) Argue that the equation in part (b) proves that, ingeneral, vrms . vavg. (d) Under what special conditionwill vrms 5 vavg for the two-particle gas?
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