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Consider N two-state systems at temperature T. All systems are identical, with one state at energy 0 and the other at energy ϵ.
Using the Boltzmann factor for the two states, compute a formula for the energy U(T) as a function of N,ϵ, and T.
Using C(T)=dU/dT, derive a formula for the heat capacity in terms of the same variables.
Use the formulas for U(T) and C(T) to answer the questions below, assuming that N=6.022 × 1023 and ϵ= 2.07 × 10-21 J for all questions:
1) Compute the internal energy U when T-200 K.
2) Compute the heat capacity when T-200 K.
3) Compute the heat capacity when T-250 K.
4) Compute the heat capacity when T-20 K.

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sahir9397

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A is the Helmholtz free energy. It's derivative with respect to temperature(not time), gives the entropy, S

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As the particles are interacting are generally based on movements of the particles.

What are  Boltzmann factor?

The Boltzmann distribution offers the opportunity that a gadget may be in a positive country as a characteristic of that country's energy, even as the Maxwell-Boltzmann distributions deliver the possibilities of particle speeds or energies in perfect gases.

Thus well explained.

To learn more about the Boltzmann factor refer link :

https://brainly.com/question/9078768

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