Question

True or False: At equilibrium, the entropy of six hundred particles sharing six hundred units of energy is larger than the entropy of four hundred particles sharing for hundred units of energy.

Answer 1

Answer: True

The thermodynamic state of the system (which characterizes the values of macroscopic observables such as energy, pressure, volume, etc.)   corresponds to many possible states of the constituents (the molecules). The collection of states of all the constituents is the microstate. If there are N constituents, and each has p states, then there are p^N possible microstates. Entropy increases with increasing molecules and with microstates. Hence At equilibrium, the entropy of six hundred particles sharing six hundred units of energy is larger than the entropy of four hundred particles sharing for hundred units of energy.

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