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# The first excited energy level of a hydrogen atom has an ISBN: 9780201380279 40

## Solution for problem 20P Chapter 5

An Introduction to Thermal Physics | 1st Edition

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Problem 20P Problem 20P

The first excited energy level of a hydrogen atom has an energy of 10.2 eV, if we take the ground-state energy to be zero. However, the first excited level is really four independent states, all with the same energy. We can therefore assign it an entropy of S = k ln 4, since for this given value of the energy, the multiplicity is 4. Question: For what temperatures is the Helmholtz free energy of a hydrogen atom in the first excited level positive, and for what temperatures is it negative? (Comment: When F for the level is negative, the atom will spontaneously go from the ground state into that level, since F = 0 for the ground state and F always tends to decrease. However, for a system this small, the conclusion is only a probabilistic statement; random fluctuations will be very significant.)

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##### ISBN: 9780201380279

An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. The full step-by-step solution to problem: 20P from chapter: 5 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This full solution covers the following key subjects: Energy, level, excited, state, atom. This expansive textbook survival guide covers 10 chapters, and 454 solutions. The answer to “The first excited energy level of a hydrogen atom has an energy of 10.2 eV, if we take the ground-state energy to be zero. However, the first excited level is really four independent states, all with the same energy. We can therefore assign it an entropy of S = k ln 4, since for this given value of the energy, the multiplicity is 4. Question: For what temperatures is the Helmholtz free energy of a hydrogen atom in the first excited level positive, and for what temperatures is it negative? (Comment: When F for the level is negative, the atom will spontaneously go from the ground state into that level, since F = 0 for the ground state and F always tends to decrease. However, for a system this small, the conclusion is only a probabilistic statement; random fluctuations will be very significant.)” is broken down into a number of easy to follow steps, and 143 words. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. Since the solution to 20P from 5 chapter was answered, more than 237 students have viewed the full step-by-step answer.

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