This is a modified Stirling cycle. The Stirling engine never caught on due to industrial limitations. N2 gas, a diatomic molecule, is the working material. Process 1 to 2 is isothermal. 2 to 3 is a vertical line. 3 to 4 is adiabatic (this is the modification). 4 to 1 is a vertical line. P, = 2.750 x 10 pa V, = 3.00 x 103 m3 T 220.0 °C T3 20.0 °C T4 = 50.0 °C %3D %3D %3D 7 Y diatomic gas

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question
### Modified Stirling Cycle

The Stirling engine never caught on due to industrial limitations. N₂ gas, a diatomic molecule, is the working material.

#### Process Breakdown:
- **1 to 2**: Isothermal
- **2 to 3**: Vertical line
- **3 to 4**: Adiabatic (this is the modification)
- **4 to 1**: Vertical line

#### Given Data:
- \( P_1 = 2.750 \times 10^5 \) Pa
- \( V_1 = 3.00 \times 10^{-3} \) m³
- \( T_1 = 220.0 \) °C
- \( T_3 = 20.0 \) °C
- \( T_4 = 50.0 \) °C
- \( \gamma_{\text{diatomic gas}} = \frac{7}{5} \)

#### Tasks:
1. Determine the following:
   a. \( N \) (number of molecules of diatomic N₂)
   b. \( P_2, P_3, P_4 \)
   c. \( V_2, V_3, V_4 \)

#### Diagram Explanation:
The diagram is a Pressure-Volume (P-V) graph illustrating the four processes of the modified Stirling cycle:
- **Point 1 to Point 2**: Isothermal process where the pressure decreases while the volume increases at a constant temperature.
- **Point 2 to Point 3**: Vertical line indicating a change at a constant volume (isochoric).
- **Point 3 to Point 4**: Adiabatic process where no heat exchange occurs, depicted with a curved line.
- **Point 4 to Point 1**: Vertical line indicating another change at a constant volume (isochoric).
Transcribed Image Text:### Modified Stirling Cycle The Stirling engine never caught on due to industrial limitations. N₂ gas, a diatomic molecule, is the working material. #### Process Breakdown: - **1 to 2**: Isothermal - **2 to 3**: Vertical line - **3 to 4**: Adiabatic (this is the modification) - **4 to 1**: Vertical line #### Given Data: - \( P_1 = 2.750 \times 10^5 \) Pa - \( V_1 = 3.00 \times 10^{-3} \) m³ - \( T_1 = 220.0 \) °C - \( T_3 = 20.0 \) °C - \( T_4 = 50.0 \) °C - \( \gamma_{\text{diatomic gas}} = \frac{7}{5} \) #### Tasks: 1. Determine the following: a. \( N \) (number of molecules of diatomic N₂) b. \( P_2, P_3, P_4 \) c. \( V_2, V_3, V_4 \) #### Diagram Explanation: The diagram is a Pressure-Volume (P-V) graph illustrating the four processes of the modified Stirling cycle: - **Point 1 to Point 2**: Isothermal process where the pressure decreases while the volume increases at a constant temperature. - **Point 2 to Point 3**: Vertical line indicating a change at a constant volume (isochoric). - **Point 3 to Point 4**: Adiabatic process where no heat exchange occurs, depicted with a curved line. - **Point 4 to Point 1**: Vertical line indicating another change at a constant volume (isochoric).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 8 steps with 8 images

Blurred answer
Knowledge Booster
Thermodynamic Work done
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON