Problem 4.30. The temperature dependence of the mean demon energy: Continuous case A demon exchanges energy with an ideal classical gas of N particles in three dimensions (see Problem 4.29). What is the mean energy of the demon? In this case the demon energy is a continuous variable. Hence, we can analytically determine the relation between the mean demon energy and the temperature: Ea e-BEd dEa Ea (4.136) e-BEa dEa (a) Explain why the relation (4.136) for the demon energy is reasonable and determine the tem- perature dependence of Eq. (b) Would this temperature dependence be different if the gas is in one or two dimensions? Would the temperature dependence change if the particles in the gas interacted with one another? O

Problem 4.30. The temperature dependence of the mean demon energy: Continuous case A demon exchanges energy with an ideal classical gas of N particles in three dimensions (see Problem 4.29). What is the mean energy of the demon? In this case the demon energy is a continuous variable. Hence, we can analytically determine the relation between the mean demon energy and the temperature: Ea e-BEd dEa Ea (4.136) e-BEa dEa (a) Explain why the relation (4.136) for the demon energy is reasonable and determine the tem- perature dependence of Eq. (b) Would this temperature dependence be different if the gas is in one or two dimensions? Would the temperature dependence change if the particles in the gas interacted with one another? O

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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