4-12. Consider a system of N distinguishable independent particles, each of which can be in the state +ɛo or –ɛ0. Let the number of particles with energy ±ɛo be N4, so that the energy is E=N, €o – N- 80 =2N+ €o – Neo Evaluate the partition function Q by summing exp(-EkT) over levels and compare your result to Q=q". Do not forget the degeneracy of the levels, which in this case is the number of ways that N+ particles out of N can be in the + state. Calculate and plot the heat capacity Cy for this system.

4-12. Consider a system of N distinguishable independent particles, each of which can be in the state +ɛo or –ɛ0. Let the number of particles with energy ±ɛo be N4, so that the energy is E=N, €o – N- 80 =2N+ €o – Neo Evaluate the partition function Q by summing exp(-EkT) over levels and compare your result to Q=q". Do not forget the degeneracy of the levels, which in this case is the number of ways that N+ particles out of N can be in the + state. Calculate and plot the heat capacity Cy for this system.