Q21PE With 2.56脳106聽J聽 of heat tran... [FREE SOLUTION]

Chapter 15: Q21PE (page 550)

With $2.56 脳 10^{6} J$ of heat transfer into this engine, a given cyclical heat engine can do only role="math" localid="1668687707360" $1.50 脳 10^{5} J$ of work (a) What is the engine鈥檚 efficiency (b) How much heat transfer to the environment takes place.

Short Answer

Expert verified

Engine鈥檚 Efficiency is $0.0586$ and amount of heat transfer to the environment is $2.41 脳 10^{6} J$ .

Step by step solution

Introduction

Heat Engine is a system which converts heat into work by taking heat from hot body (source) to carry out some work and there by discharging some of it at a very low temperature to cold body (sink). First and second law of thermodynamics helps in the operation of heat engine.

Parameters given and relationships-

Work done by the heat engine $W = 1.56 脳 10^{5} J$

Heat transfer to the engine $Q_{1} = 2.56 脳 10^{6} J$

Engine efficiency (沙) =?

$h = \frac{W}{Q_{1}}$

Here

$h - Efficiency of Heat Engine W - Word done by the heat engine Q_{1} - Heat Transfer to the Heat Engine$

Calculation of efficiency and heat transfer to the environment

For efficiency-

$h = \frac{W}{Q_{1}} = \frac{1.5 脳 10^{5}}{2.56 脳 10^{6}} = . 0586$

Heat Transfer to the environment 鈥�

$W = Q_{1} - Q_{2} Q_{2} = Q_{1} - W Q_{2} = 2.56 脳 10^{6} - 1.50 脳 10^{5} Q_{2} = 2.41 脳 10^{6} J$

Therefore, efficiency of the engine is $0.0586$ and amount of heat transfer to the environment is $2.41 脳 10^{6} J$ .

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91影视

With $2.56 脳 10^{6} J$ of heat transfer into this engine, a given cyclical heat engine can do only role="math" localid="1668687707360" $1.50 脳 10^{5} J$ of work (a) What is the engine鈥檚 efficiency (b) How much heat transfer to the environment takes place.

Short Answer

Step by step solution

Introduction

Parameters given and relationships-

Calculation of efficiency and heat transfer to the environment

One App. One Place for Learning.

Most popular questions from this chapter

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91影视

With 2.56脳106J of heat transfer into this engine, a given cyclical heat engine can do only role="math" localid="1668687707360" 1.50脳105Jof work (a) What is the engine鈥檚 efficiency (b) How much heat transfer to the environment takes place.

Short Answer

Step by step solution

Introduction

Parameters given and relationships-

Calculation of efficiency and heat transfer to the environment

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Famous Physicists

Work Energy and Power

Particle Model of Matter

Electricity

Electrostatics

Fundamentals of Physics

Study anywhere. Anytime. Across all devices.

With $2.56 脳 10^{6} J$ of heat transfer into this engine, a given cyclical heat engine can do only role="math" localid="1668687707360" $1.50 脳 10^{5} J$ of work (a) What is the engine鈥檚 efficiency (b) How much heat transfer to the environment takes place.