Problem 21.12 Consider two reservoirs at unknown temperatures. The entropy of re

Question

Problem 21.12

Consider two reservoirs at unknown temperatures. The entropy of reservoir 1 is defined by the function S1=aE2 where a = 1.00 J2 and that of reservoir 2 is defined by the function S2=bEecE where b = 3.00 J1 andc = 1.00 J1.

Part A

What is the entropy gradient of S1 when E = 1.90 MJ ?

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Part B

What is the entropy gradient of S2 for all values of E?

Express your answer in terms of b, c and E.

Problem 21.12

Consider two reservoirs at unknown temperatures. The entropy of reservoir 1 is defined by the function S1=aE2 where a = 1.00 J2 and that of reservoir 2 is defined by the function S2=bEecE where b = 3.00 J1 andc = 1.00 J1.

Part A

What is the entropy gradient of S1 when E = 1.90 MJ ?

dS1dE =   J1  

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Incorrect; Try Again; 3 attempts remaining

Part B

What is the entropy gradient of S2 for all values of E?

Express your answer in terms of b, c and E.

dS2dE =

Explanation / Answer

S1 = aE^2
S2 = bE^e - cE

A. d(S1)/dE = 2aE = 2*1*1.9^2*10^12 = 7.22*10^12 per J
B. d(S2)/dE = beE^(e-1) -c = 2.718bE^1.718 - c = 8.1548E^1.718 - 1

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