A box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. i. Enumerate all the possible microstates and their corresponding energies. ii. Calculate the partition function then write down the Helmholtz free energy. iii. What is the probability that the box contains two red balls?

A box contains two balls that can be either blue or red. A blue ball has an energy -E0 while a red ball has an energy E0. The box is connected to a heat bath of temperature T. i. Enumerate all the possible microstates and their corresponding energies. ii. Calculate the partition function then write down the Helmholtz free energy. iii. What is the probability that the box contains two red balls?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 33P: A gas of helium atoms at 273 K is in a cubical container with 25.0 cm on a side. (a) What is the...

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