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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 20 / Problem 15E

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 has an efficiency of 59% and

Chapter 20, Problem 15E

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QUESTION:

Problem 15E

A Carnot engine has an efficiency of 59% and performs 2.5 × 104 J of work in each cycle. (a) How much heat does the engine extract from its heat source in each cycle. (b) Suppose the engine exhausts heat at room temperature (20.0°C). What is the temperature of its heat source?

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QUESTION:

Problem 15E

A Carnot engine has an efficiency of 59% and performs 2.5 × 104 J of work in each cycle. (a) How much heat does the engine extract from its heat source in each cycle. (b) Suppose the engine exhausts heat at room temperature (20.0°C). What is the temperature of its heat source?

ANSWER:

Solution 15E

The efficiency of a Carnot’s engine is given by $\eta{}=\frac{W}{Q{\ }_{a}}$ …..(1), where $Q{\ }_{a}$ is the amount of heat supplied to a system and $W$ is the work done by the system.

Given, $\eta{}=59\%=0.59$

$W=2.5\times{}10{\ }^{4}\ J$

(a) The heat extracted by the engine, $Q{\ }_{a}=\frac{W}{\eta{}}$ (from equation 1)

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