Answered: in a single cycle, a heat engine…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

in a single cycle, a heat engine extracts 8.00 kcal of heat from a hot reservoir and exhausts 5.00 kcal of heat int a cold reservoir. What is the efficiency of this engine?

	a.	47.5%
	b.	37.5%
	c.	67.5%
	d.	57.5%
	e.	77.5%

Expert Solution

Step 1

Given that,

the amount of heat extracted from the hot reservoir is $Q_{i n} = 8 (k C a l)$

the amount of heat exhaust from the cold reservoir is $Q_{o u t} = 5 (k C a l)$

So the efficiency of the engine will be

$\begin{array}{rcl} η & = & \frac{Q_{i n} - Q_{o u t}}{Q_{i n}} \times 100 % \\ = & \frac{8 (k C a l) - 5 (k C a l)}{8 (k C a l)} \times 100 % \\ = & 37.5 % \end{array}$

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