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College Physics (Urone)
Found in: Page 550
College Physics (Urone)

College Physics (Urone)

Book edition 1st Edition
Author(s) Paul Peter Urone
Pages 1272 pages
ISBN 9781938168000

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Short Answer

Calculate the net work output of a heat engine following path ABCDA in the figure below.

The net work output of this heat engine is 4800 J.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step 1: Analyze the figure and find an expression to calculate the net work output.

The figure is a PV diagram. That means the graph of pressure versus volume. So, the area of the curve in the PV diagram will give the net work output. Therefore, you need to calculate the area of quadrilateral ABCD.

Αrea of ABCD= Area of DABD +Area of DBCD

The area of a triangle is equal to the half of the product of its base and height.

Here, b is the base and h is the height of the triangle.

Step 2: Calculate the area of ABCD.

The base and height of the triangles correspond to the change in pressure and the change in volume, respectively.

Therefore, these two triangles have equal area, and adding them together will give the area of the quadrilateral.

Therefore, the work done along the path ABCDA is 4800 J .

Most popular questions for Physics Textbooks

(a) How much heat transfer occur to the environment by an electrical power station that uses 1.25×1014J of heat transfer into the engine with an efficiency of 42.0 %(b) What is the ratio of heat transfer to the environment to work output (c) How much work is done?

(a) If tossing 100 coins, how many ways (microstates) are there to get the three most likely macrostates of 49 heads and 51 tails, 50 heads and 50 tails, and 51 heads and 49 tails? (b) What percent of the total possibilities is this? (Consult Table 15.4.)

How do heat transfer and internal energy differ? In particular, which can be stored as such in a system and which cannot?

unreasonable Results

(a) Suppose you want to design a steam engine that has heat transfer to the environment at 270ºC and has a Carnot efficiency of 0.800. What temperature of hot steam must you use? (b) What is unreasonable about the temperature? (c) Which premise is unreasonable?

On a hot summer day, 4.00×106 J of heat transfer into a parked car takes place, increasing its temperature from 35.0 º C to 45.0 º C. What is the increase in entropy of the car due to this heat transfer alone?
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