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Distributing energy packets

Page history last edited by Joe Redish 8 years, 1 month ago

7.2.3.P1

 

Suppose you have two identical objects, A and B, in thermal contact with one another. Model each as having 25 “bins” for thermal energy. At the start, A has 7 “packets” of thermal energy and B has three as shown schematically in the figure at the right. Assume that only one packet of energy can go in each bin and that the energy packets are indistinguishable.

 

(a) How many microstates are there for A initially? For B?

 

(b) If two “packets” of thermal energy move from A to B, find the changes of entropy, ΔSA, ΔSB, and ΔStotal as a multiple of kB.

 

(c) Discuss how your result for (b) is consistent with the movement of this thermal energy being spontaneous.

 

 

Catherine Crouch 12/2/15

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