We want to find the change in u for carbon dioxide between

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

Problem 130HP Chapter 3

Fundamentals of Thermodynamcs | 8th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Fundamentals of Thermodynamcs | 8th Edition | ISBN: 9781118131992 | Authors: Claus Borgnakke, Richard E. Sonntag

Fundamentals of Thermodynamcs | 8th Edition

4 5 0 274 Reviews
30
3
Problem 130HP

We want to find the change in u for carbon dioxide between 600 K and 1200 K.

a. Find it from a constant Cv0 from Table A.5.

b. Find it from a Cv0 evaluated from the equation in Table A.6. at the average T.

c. Find it from the values of u listed in Table A.8.

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

1.490

1.186

Ethanol

Step-by-Step Solution:

Solution 130HP

Part (a)

Step 1 of 6:

We are going to find the change in the internal energy of Carbon dioxide gas for constant specific heat found in the table A.5.

The temperature T1 = 600 K

The temperature T2 = 1200 K

The value of specific heat at constant volume from the table (Cv0) = 0.653 kJ/kg.K

The change in the internal energy is given by

Inserting the values

The change in the internal energy is 391.8 kJ/kg.K.

Part (b)

Step 2 of 6:

We are going to find the specific heat from the equation given in the table A.6. The temperature is the average temperature from the part (a).

The temperature Tave 

The average temperature is 900 K.

The equation for Cv0 is given by

Step 2 of 6:

The value θ is expressed as

The values of C0, C1, C2, and C3 are taken from the table A.6

C0 = 0.45

C1 = 1.67

C2 = -1.27

C3 = 0.39

From the table A.5,  The gas constant for CO2 (R) = 0.1889 kJ/kg.K

Step 3 of 6:

Putting the numerical values in the equation (2)

The specific heat for constant volume is given by

Step 4 of 5

Chapter 3, Problem 130HP is Solved
Step 5 of 5

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

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

We want to find the change in u for carbon dioxide between

×
Log in to StudySoup
Get Full Access to Fundamentals Of Thermodynamcs - 8th Edition - Chapter 3 - Problem 130hp

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Fundamentals Of Thermodynamcs - 8th Edition - Chapter 3 - Problem 130hp
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need help? Contact support

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here