Consider two isolated systems of noninteracting spins with Na=4 and Nb= 16. Their initial energies are Ea= -2uB and Eb= -2ub. (a) What is the total number of microstates available to the composite system?(SOLVED) (b) If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy Ea?(SOLVED) (c) What is the mean value of Ea and its relative fluctuations? Calculate the analogous quantities for system B.(SOLVED) (d) What is the most probable macrostate for the composite system? (Help pls)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter11: Molecular Structure
Section: Chapter Questions
Problem 12P
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Consider two isolated systems of noninteracting spins with Na=4 and Nb= 16. Their initial energies are Ea= -2uB and Eb= -2ub.

(a) What is the total number of microstates available to the composite system?(SOLVED)

(b) If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy Ea?(SOLVED)

(c) What is the mean value of Ea and its relative fluctuations? Calculate the analogous quantities for system B.(SOLVED)

(d) What is the most probable macrostate for the composite system? (Help pls)

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