Explanation Given info: The temperature range for system A is 25 o C to 35 o C , the temperature range for system B is 35 o C to 45 o C , the temperature range for system C is 45 o C to 50 o C and 35 o C and the temperature range for system D is 50 o C to 55 o C . The formula to calculate the change in entropy is, Δ S = Δ Q T (1) Here, Δ Q is the amount of heat added to the water. T is the average temperature of the water. The formula to calculate the temperature is, T = T f + T i 2 Here, T f is the final temperature. T i is the initial temperature. The formula to calculate the heat input is, Q = m c ( T f − T i ) Here, m is the mass of the water. c is the specific heat of water. Substitute m c ( T f − T i ) for Q and T f + T i 2 for T in equation (1) to find the value of Δ S . Δ S = m c ( T f − T i ) T f + T i 2 (2) Substitute 35 o C for T f and 25 o C for T i in equation (2) to find the value of Δ S A . Δ S A = m c ( ( 35 o C − 25 o C ) + 273.15 K ) 35 + 273.15 K+ 25 + 273.15 K 2 = 283.15 m c 303.15 = 0.93 m c Thus, the change in entropy of system A is 0.93 m c . Substitute 45 o C for T f and 35 o C for T i in equation (2) to find the value of Δ S B

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ISBN: 9780134051802

Author: Walker

Publisher: PEARSON

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First law of Thermodynamics

The word thermodynamics consists of two words: thermo- and dynamics. Dynamics means the study of motion. The field of thermodynamics is all about the study of the movement of heat. In a more meaningful way, it is stated as the study of the transfer of en…

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Chapter 18, Problem 67PCE

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The rank of the temperature increases in order of the increasing entropy change.

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Chapter 18, Problem 66PCE

Chapter 18, Problem 68PCE

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The rank of the temperature increases in order of the increasing entropy change.

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The rank of the temperature increases in order of the increasing entropy change.

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