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A gasoline engine has a piston/cylinder with 0.1 kg air at

Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

Problem 156HP Chapter 3

Fundamentals of Thermodynamcs | 8th Edition

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Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

Fundamentals of Thermodynamcs | 8th Edition

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Problem 156HP

A gasoline engine has a piston/cylinder with 0.1 kg air at 4 MPa, 1527°C after combustion, and this is expanded in a polytropic process with n = 1.5 to a volume 10 times larger. Find the expansion work and heat transfer using the heat capacity value in Table A.5.

TABLE A.5

Properties of Various Ideal Gases at 25°C, 100 kPa*(SI Units)

Gas

ChemicalFormula

Molecular Mass(kg/kmol)

R(kJ/kg-K)

ρ (kg/m3)

Cp0(kJ/kg-K)

Cv0(kJ/kg-K)

Steam

H2O

18.015

0.4615

0.0231

1.872

1.410

1.327

Acetylene

C2H2

26.038

0.3193

1.05

1.699

1.380

1.231

Air

28.97

0.287

1.169

1.004

0.717

1.400

Ammonia

NH3

17.031

0.4882

0.694

2.130

1.642

1.297

Argon

Ar

39.948

0.2081

1.613

0.520

0.312

1.667

Butane

C4H10

58.124

0.1430

2.407

1.716

1.573

1.091

Carton dioxide

CO2

44.01

0.1889

1.775

0.842

0.653

1.289

Carton monoxide

CO

28.01

0.2968

1.13

1.041

0.744

1.399

Ethane

C2H6

30.07

0.2765

1.222

1.766

Step-by-Step Solution:

Solution 156HP

Step 1 of 3</p>

We are required to calculate the expansion work and heat transfer during the given process.

Step 2 of 3</p>

The mass of air in the cylinder is kg

The given process is polytropic and the value of is 1.5.

The initial specific volume is

The final specific volume is

The initial pressure is MPa

kPa

Let the final pressure be .

In a polytropic process,

constant

Thus,

kPa

The work done in a polytropic process is,

 , where and are initial and final temperatures.

C = 1800 K

From the ideal gas equation, ,

and

Therefore, 

K

Substitute and values in

J [R for air is (8.314/ air molar mass= 28.97 g/mol)]

kJ

Therefore, the work done is 70.6 kJ.

Step 3 of 3

Chapter 3, Problem 156HP is Solved
Textbook: Fundamentals of Thermodynamcs
Edition: 8th
Author: Claus Borgnakke, Richard E. Sonntag
ISBN: 9781118131992

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