Etherm for energy E 17. The graphs in the figure below give plots of entropy S v

Question

Etherm for energy E 17. The graphs in the figure below give plots of entropy S vs. two different solids, A and B. Solid A starts with indicated and entropy SA, and Solid B starts with E and Sp. When Solid A has energy EA, the slope of the entropy vs. energy curve is d 0.5 K-1, and when Solid B has energy EB, the slope of the entropy vs energy curve is dSB/dE-0.1 K-1 Solid A Solid B Sa- Ep Thermal Energy Thermal Energy Figure 9.7: Figure for Problem 17 The two solids are brought into thermal contact with each other so that energy can flow between them. (a) Which way will the energy flow: from A to B, from B to A, or will no energy flow? Give qualitative reasoning to support your answer. (b) Now let's get quantitative. Calculate the approximate entropy changes ASA and SB, and AS,total if 2 J of energy flow between the two solids in the direction that you chose in part (a). (c) By what factor has the multiplicity for the total system increased from this energy transfer? In other words, calculate the ratio of multiplicities Lafter/2before Note: The answer you get will be a ridiculously, mind-boggling, impossible-to-put-into-words-just-how-huge-it-really-is number that you will not be able to calculate you'll have to express it as esomething really big, To give you and idea of just how large this num- ber is, if you were to write it as a digit followed by a bunch of zeros, and if each digit were 5 mm wide, the number would fill up several light years. (d) Explain in your own words why heat flows in this system when the two solids are brought into contact. Don't use the words "entropy" or "second law" but rather explain it based on probabilities.

Explanation / Answer

Part D) There are two probabilities

First probability is that one rod may contain more heat energy as compared to other in this case heat will fow from high enegy state i.e. high temperature to low energy state i.e low temperature.

and the second probability is that

one rod may be more conducting as compared to other in this case heat will flow from high conductivity rod to low conductivity rod.

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