Consider a system of N spheres with only 2 energy levels 0 a

Consider a system of N spheres with only 2 energy levels, 0 and +kbT0.

a) Obtain a general expression for the number of microstates and the temperature as a function of the total energy U. (Hint: to obtain T, use Stirling\'s approximation for, ln(N!)=N ln(N) - N.)

b)What is the temperature for U = (kb T0) / 2N? What is the sign of temperature for energies greater than (kb T0) / 2N?

Solution

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