(a) Calculate the work output of a Carnot engine operating between temperatures of 600 K and 100 K for 4000 J of heat transfer to the engine. (b) Now suppose that the 4000 J of heat transfer occurs first from the 600 K reservoir to a 250 K reservoir (without doing any work, and this produces the increase in entropy calculated above) before transferring into a Carnot engine operating between 250 K and 100 K. What work output is produced? T- 600 KT= 600 K4000 JT = 250 KQ, 4000 JEntropyincreasesQ = 4000 JW = 3333 JW = 2400 J667 JQ. = 1600 JT. = 100 KT = 100 KCarnot engineGreater entropy overall(b)Carnot engine(a)Figure 15.35 (a) A Carnot engine working at between 600 K and 100 K has 4000 J of heat transfer and performs 3333 J of work. (b) The 4000 Jof heat transfer occurs first irreversibly to a 250 K reservoir and then goes into a Carnot engine. The increase in entropy caused by the heattransfer to a colder reservoir results in a smaller work output of 2400 J. There is a permanent loss of 933 J of energy for the purpose of doingwork.

The Carnot efficiency here is The work output can be obtained as

Answered: T- 600 K T= 600 K 4000 J T = 250 K Q,…

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ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

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(a) Calculate the work output of a Carnot engine operating between temperatures of 600 K and 100 K for 4000 J of heat transfer to the engine. (b) Now suppose that the 4000 J of heat transfer occurs first from the 600 K reservoir to a 250 K reservoir (without doing any work, and this produces the increase in entropy calculated above) before transferring into a Carnot engine operating between 250 K and 100 K. What work output is produced?

T- 600 K
T= 600 K
4000 J
T = 250 K
Q, 4000 J
Entropy
increases
Q = 4000 J
W = 3333 J
W = 2400 J
667 J
Q. = 1600 J
T. = 100 K
T = 100 K
Carnot engine
Greater entropy overall
(b)
Carnot engine
(a)
Figure 15.35 (a) A Carnot engine working at between 600 K and 100 K has 4000 J of heat transfer and performs 3333 J of work. (b) The 4000 J
of heat transfer occurs first irreversibly to a 250 K reservoir and then goes into a Carnot engine. The increase in entropy caused by the heat
transfer to a colder reservoir results in a smaller work output of 2400 J. There is a permanent loss of 933 J of energy for the purpose of doing
work.

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