Chapter 2: Problem 15
A thermodynamic system consists of \(N\) independent, distinguishable particles. Each particle has three energy levels at \(0, \varepsilon\), and \(2 s\), with degeneracies of 1,3 , and 5 , respectively. The system is in thermal equilibrium with a heat reservoir of absolute temperature \(T=\varepsilon / k\), where \(k\) is Boltzmann's constant. a. Calculate the partition function for this system. b. What fraction of the particles resides in each energy level? c. Determine the average particle energy and the associated mean particle entropy- d. At what temperature would the population of the energy level having \(2 \varepsilon\) be equal to that at \(\varepsilon\) ?
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