This problem is based on the “Thermal physics” by Kittel.
Solve the problem below.
As it is shown in the figure above, there’s a system of three chambers, each of which hasthe volume v. lnitiallythere’s only A particles in chamber l; B particles in chamber ii, and Cparticles in chamber Ill. Wall between chamber l and ll is only permeabie to particle A, while wall between chamber ii and III is only permeable to particEe C. All thhree types of particles can be treated as ideal gases. The number of particles are denoted by NA, NB,NC a) If none of the particles are chemically active, what are the spatial equilibriumdistributions of A, B, and C particles (that is, the number of A particles in chamber E, Ll,III, and the same for B and C particles)? h) Now let’s consider a case where particles A and B are reactive and the reaction results ingain in internal energy sper particle AB formed in chamber 11. Assuming that all Aparticles in chamber II have reacted, find the ratio of the number of A particles inchamber 1 to the number ofpartieles A in chamber II? c) What happens to the ratio in question h) at very low and high temperatures? d) If N3 < NJ, at what temperature will all of the B particles react? Express your answer interms of NA and N5.
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