   # Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are as follows: Engine A: T h = 1 000 K, T c = 700 K; Engine B: T h = 800 K, T c = 500 K; Engine C: T h = 600 K, T c = 300 K. Rank the engines in order of theoretically possible efficiency from highest to lowest. ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

#### Solutions

Chapter
Section ### Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 22, Problem 22.3QQ
Textbook Problem
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## Three engines operate between reservoirs separated in temperature by 300 K. The reservoir temperatures are as follows: Engine A: Th = 1 000 K, Tc = 700 K; Engine B: Th = 800 K, Tc = 500 K; Engine C: Th = 600 K, Tc = 300 K. Rank the engines in order of theoretically possible efficiency from highest to lowest.

To determine

The rank of engines in order of calculated efficiency.

### Explanation of Solution

Write the formula to calculate the efficiency of the Carnot engine A

eCA=1TcAThA

Here, eCA is the efficiency of engine A, TcA is the temperature of compressor at A and ThA is the temperature  of reservoir at A.

Substitute 1000K for Th and 700K for Tc to find eCA.

eCA=1700K1000K=10.7=0.3

Write the formula to find efficiency of the Carnot engine B

eCB=1TcBThB

Here, eCB is the efficiency of engine B, TcB is the temperature of compressor at B and ThB is the temperature  of reservoir at B.

Substitute 800K for Th and 500K for Tc to find eCB

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