Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

Would you be willing to financially back an inventor who is marketing a device that she claims has 25 kJ of heat transfer at 600 K, has heat transfer to the environment at 300 K, and does 12 kJ of work? Explain your answer.

The device has a maximum efficiency of 50%. The calculated efficiency is 48% which is very close to maximum efficiency. Therefore, I would back the inventor financially.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Introduction

The ratio of amount of work done by the engine to the amount of heat intake from the source gives the efficiency of the heat engine.

Step 2: Given parameters and formula for efficiency of heat engine

Temperature of cold reservoir \({T_c} = 300\;{\rm{K}}\)

Temperature of hot reservoir \({T_h} = 600\;{\rm{K}}\)

Work done \(W = 12\;{\rm{kJ}}\)

Heat transferred \(Q = 25\;{\rm{kJ}}\)

The efficiency of the Carnot engine \(\eta = 1 - \frac{{{T_c}}}{{{T_h}}}\)

Here,

\(\eta \) - efficiency of the engine.

\({T_c}\)- the temperature of the cold reservoir.

\({T_h}\)- temperature of the hot reservoir

Step 3: Calculate maximum efficiency and real efficiency of the device

Maximum efficiency can be calculated by calculating Carnot efficiency as

\(\begin{aligned}{}h &= 1 - \frac{{{T_c}}}{{{T_h}}}\\ &= 1 - \frac{{300\,{\rm{k}}}}{{600\,{\rm{k}}}}\\& = 0.5\\ &= 50\% \end{aligned}\)

Real efficiency can be calculated as

\(\begin{aligned}{}h &= \frac{W}{Q}\\ &= \frac{{12\,{\rm{J}}}}{{25\,{\rm{J}}}}\\ &= 0.48\\ &= 48\% \end{aligned}\)

Therefore, the maximum efficiency is \(50\% \) for the device. The efficiency which device is giving is \(48\% \) which is very close to maximum efficiency. Therefore, I would be willing to financially back the inventor.

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College Physics (Urone)

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Short Answer

Would you be willing to financially back an inventor who is marketing a device that she claims has 25 kJ of heat transfer at 600 K, has heat transfer to the environment at 300 K, and does 12 kJ of work? Explain your answer.

Step by Step Solution

Step 1: Introduction

Step 2: Given parameters and formula for efficiency of heat engine

Step 3: Calculate maximum efficiency and real efficiency of the device

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College Physics (Urone)

Answers without the blur.

Short Answer

Would you be willing to financially back an inventor who is marketing a device that she claims has 25 kJ of heat transfer at 600 K, has heat transfer to the environment at 300 K, and does 12 kJ of work? Explain your answer.

Step by Step Solution

Step 1: Introduction

Step 2: Given parameters and formula for efficiency of heat engine

Step 3: Calculate maximum efficiency and real efficiency of the device

Most popular questions for Physics Textbooks

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