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(a) In reaching equilibrium, how much heat transfer occurs

Chapter 15, Problem 52

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QUESTION:

Problem 52PE

(a) In reaching equilibrium, how much heat transfer occurs from 1.00 kg of water at 40.0º C when it is placed in contact with 1.00 kg of 20.0º C water in reaching equilibrium? (b) What is the change in entropy due to this heat transfer? (c) How much work is made unavailable, taking the lowest temperature to be 20.0º C ? Explicitly show how you follow the steps in the Problem-Solving Strategies for Entropy.

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QUESTION:

Problem 52PE

(a) In reaching equilibrium, how much heat transfer occurs from 1.00 kg of water at 40.0º C when it is placed in contact with 1.00 kg of 20.0º C water in reaching equilibrium? (b) What is the change in entropy due to this heat transfer? (c) How much work is made unavailable, taking the lowest temperature to be 20.0º C ? Explicitly show how you follow the steps in the Problem-Solving Strategies for Entropy.

ANSWER:

Solution  52PE

a)  Q =mcT

      Q = (1 kg) (4.186 x103 j/k OC) (20OC)

          = 8.37 x104 j

 heat transfer by the water at equilibrium is  8.37x 104  j

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