please show me all work!thank you so much 4. Three level system Consider a syste

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please show me all work!thank you so much

4. Three level system Consider a system of N noninteracting, distinguishable particles. Each particle can be in one of three states with energies 0, delta, and 10delta. Before doing an explicit calculation, sketch the temperature dependence of the mean energy, E, and hence the temperature dependence of the heat capacity, C. Make sure to label your temperature axis. (What are the natural units for temperature in this case?) Now calculate the partition function, and use this to calculate E, C and the entropy S.

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