1. According to Postulate III, entropy is additive meaning that the total entropy of a composite system is the sum of the entropies of the constituent subsystems. Consider the following scenario.
Assume you have two subsystems that are initially separated by an adiabatic wall. The composite system is further isolated from the surroundings by an adiabatic barrier. For simplicity, assume that each subsystem is comprised of 8 “particles” and that each particle can have an energy of either 0 or 1. Initially, let subsystem A have UA = 2 and subsystem B have UB = 4 as depicted in the following figure.
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1. According to Postulate III, entropy is additive meaning that the total entropy of a composite...
Using matlab, evaluate the following system:Consider two Einstein solids \(A\) and \(B\) that can exchange energy (but not oscillators/particles) with one another but the combined composite system is isolated from the surroundings. Suppose systems \(A\) and \(B\) have \(N_{A}\) and \(N_{B}\) oscillators, and \(q_{A}\) and \(q_{B}\) units of energy respectively. The total number of microstates for this macrostate for the macrostate \(N_{A}, N_{B}, q, q_{A}\) is given by$$ \Omega\left(N_{A}, N_{B}, q, q_{A}\right)=\Omega\left(N_{A}, q_{A}\right) \Omega\left(N_{B}, q_{B}\right) $$where$$ \Omega\left(N_{i}, q_{i}\right)=\frac{\left(q_{i}+N_{i}-1\right) !}{q_{i} !\left(N_{i}-1\right)...