What is the thermal efficiency of an engine that operates

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

Problem 46P Chapter 20

University Physics | 13th Edition

  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 0 386 Reviews
19
0
Problem 46P

What is the thermal efficiency of an engine that operates by taking n moles of diatomic ideal gas through the cycle shown in F? ig. P20.38??

Step-by-Step Solution:

Solution 46P Step 1: The process, 1 2 is an isochoric process. Therefore, the work done by the system will be zero. According to ideal gas equation, at point 1, P1 1nRT 1 Where, “n” is the number of moles of the gas P - Pressure at point 1 1 V 1Volume at point 1 R - Universal gas constant T 1Temperature at point 1 T = P V /nR 1 1 1 From the graph, we can see that, P = P and V = V 1 0 1 0 Therefore, T = P V1/nR 0 0 Similarly, T = 2P2 /nR 0 0 The heat change in the system, Q = nC T V Where, C - SpeVfic heat capacity at constant volume T - Change in temperature of the system In process 1 2, T = T - T = 2P V /n2- P 1 /nR = P0V0nR 0 0 0 0 For a diatomic gas, C = 5/2 R V Therefore, Q = n×(5/2)R×P V /nR = 5P V 02 0 0 0 Step 2: The process, 2 3 is an isobaric process. Therefore, the work done by the system will not be zero. Work done, W = PdV Where, dV - Change in volume dV = (V - V ) = ( 2V - V ) = V 3 2 0 0 0 Therefore, W = 2P V 0 0 Step 3: The process, 3 4 is an isochoric process. Therefore, the work done by the system will be zero. According to ideal gas equation, at point 3, P3 3nRT 3 T3 P V3nR3 From the graph, we can see that, P = 2P and V = 2V3 0 3 0 Therefore, T = 4P 3 /nR 0 0 Similarly, T = 2P V /nR 4 0 0 The heat change in the system, Q = nC T V Where, C - Specific heat capacity at constant volume V T - Change in temperature of the system In process 3 4, T = T - T = 2P V /nR - 4P V /nR = - 2P V /nR 3 4 0 0 0 0 0 0 For a diatomic gas, C = 5/2 R V Therefore, Q = n×(5/2)R× -2P V /nR = - 5P V0 0 0 0

Step 4 of 5

Chapter 20, Problem 46P is Solved
Step 5 of 5

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 46P from chapter: 20 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “What is the thermal efficiency of an engine that operates by taking n moles of diatomic ideal gas through the cycle shown in F? ig. P20.38??” is broken down into a number of easy to follow steps, and 26 words. This full solution covers the following key subjects: cycle, diatomic, efficiency, engine, gas. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. Since the solution to 46P from 20 chapter was answered, more than 245 students have viewed the full step-by-step answer.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

What is the thermal efficiency of an engine that operates

×
Log in to StudySoup
Get Full Access to University Physics - 13 Edition - Chapter 20 - Problem 46p

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 20 - Problem 46p
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