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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 20 / Problem 20.14

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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Solved: A Carnot engine is operated between two heat

Chapter 20, Problem 20.14

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QUESTION:

A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K. (a) If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it discard to the reservoir at 300 K? (b) How much mechanical work is performed by the engine during each cycle? (c) What is the thermal efficiency of the engine?

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QUESTION:

A Carnot engine is operated between two heat reservoirs at temperatures of 520 K and 300 K. (a) If the engine receives 6.45 kJ of heat energy from the reservoir at 520 K in each cycle, how many joules per cycle does it discard to the reservoir at 300 K? (b) How much mechanical work is performed by the engine during each cycle? (c) What is the thermal efficiency of the engine?

ANSWER:

Step 1 of 4

(a). For an ideal carnot engine there is no entropy production within the engine. So the sum of entropy transfer to the engine equals zero.

${Q}_{hot}/{T}_{hot}+{Q}_{cold}/{T}_{cold}=0$

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