# 3) Consider a system of three chambers, each of which has the volume V. Suppose that the wall separating chambers I and II is permeable only to type…

solve this problem based on the quantum physics/solid state physics.

This problem is related to thermal physics textbook by kittel

3) Consider a system of three chambers, each of which has the volume V. Suppose that the wallseparating chambers I and II is permeable only to type A particles while the wall betweenchambers 11 and III is permeable only to type C particles. The numbers of particles are denotedby NA, N3, and NC, respectively Initially, chamber I has only A particles, chamber II only Bparticles, and chamber III only C particles. All three types of particles can be treated as idealgases. I II III 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 1, II,III, and the same for B and C particles)? b) Now let’s consider a case where particles A and B are reactive and the reaction results in gain in internal energy gper particle AB formed in chamber II. Assuming that all Aparticles in chamber 11 have reacted, ﬁnd the ratio of the number of A particles inchamber I to the number of particles A in chamber 11? c) What happens to the ratio in question b) at very low and high temperatures? d) If NB < N A, at what temperature will all of the B particles react? Express your answer interms of NA and NB.

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