Gitofa Shah PHYSICS - Statistical Mechanics

What is the name of the theorem that relates the entropy of a system to the number of possible microstates?

A. Boltzmann's theorem. B. Gibbs' theorem. C. Shannon's theorem. D. Onsager's theorem.

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Boltzmann's theorem states that the entropy of a system is proportional to the logarithm of the number of possible microstates, S = k * ln(Ω).

A system is in thermal equilibrium with a reservoir at temperature T. What is the probability of finding the system in a microstate with energy E? What is the name of the statistical ensemble that describes a system with a fixed number of particles, volume, and energy? What is the name of the theorem that relates the entropy of a system to the number of possible microstates? What is the name of the statistical mechanical potential that describes a system at constant temperature and pressure? A system undergoes a reversible adiabatic process. What is the change in entropy of the system?