### Work, Change in Internal Energy, and Heat for this Process (for n = 3 moles):**W = -1150 J** **ΔU = 997 J** **Q = 2147 J** ### Educational Goals:1) **Understanding Work** - Demonstrate how to determine both the magnitude and the sign of the work (W) involved in this thermodynamic process. Understand the implications of work being negative.2) **Change in Internal Energy** - Learn how to calculate the change in internal energy (ΔU) for this process and interpret its significance in this context.3) **Heat Transfer** - Explore the method for calculating the heat transferred (Q) during the process. Understand why, when using a PV diagram, determining heat transfer is often the final step.The explanations should help students grasp how energy conservation principles apply within the system and how different energy components interact. The image presents a pressure-volume (P-V) diagram that illustrates the relationship between pressure (P) and volume (V) at different temperatures. The graph has the following key components:1. **Axes:** - The vertical axis represents pressure (P) in pascals, multiplied by \(10^5\). The scale on this axis ranges from 55.0 to 60.0. - The horizontal axis represents volume (V) in cubic meters, multiplied by \(10^{-3}\). The scale ranges from 1.4 to 1.6.2. **Data Points and Behavior:** - There are two main data points connected by a line with an arrow, indicating the direction of change. - The first point has coordinates at approximately (1.4, 60.0) and is labeled with a temperature of \(T = 337K\). - The second point has coordinates at approximately (1.6, 55.0) and is labeled with a temperature of \(T = 353K\).3. **Line and Arrow:** - There is a diagonal line connecting the two data points, indicating a transition between the two states. - The line has an arrow pointing from the higher pressure and lower volume to the lower pressure and higher volume, suggesting an expansion process.This diagram is typically used in thermodynamics to demonstrate how pressure and volume of a gas change with temperature, reflecting the principles of the ideal gas law.

Answered: Image /qna-images/answer/2321064c-2d33-41e3-a501-f220728fdae6.jpg

Answered: 60.0 55.0 T= 337K T = 353K

Engineering

Mechanical Engineering

60.0 55.0 T= 337K T = 353K

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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### Work, Change in Internal Energy, and Heat for this Process (for n = 3 moles):

**W = -1150 J**
**ΔU = 997 J**
**Q = 2147 J**

### Educational Goals:

1) **Understanding Work**
- Demonstrate how to determine both the magnitude and the sign of the work (W) involved in this thermodynamic process. Understand the implications of work being negative.

2) **Change in Internal Energy**
- Learn how to calculate the change in internal energy (ΔU) for this process and interpret its significance in this context.

3) **Heat Transfer**
- Explore the method for calculating the heat transferred (Q) during the process. Understand why, when using a PV diagram, determining heat transfer is often the final step.

The explanations should help students grasp how energy conservation principles apply within the system and how different energy components interact.

The image presents a pressure-volume (P-V) diagram that illustrates the relationship between pressure (P) and volume (V) at different temperatures. The graph has the following key components:

1. **Axes:**
- The vertical axis represents pressure (P) in pascals, multiplied by \(10^5\). The scale on this axis ranges from 55.0 to 60.0.
- The horizontal axis represents volume (V) in cubic meters, multiplied by \(10^{-3}\). The scale ranges from 1.4 to 1.6.

2. **Data Points and Behavior:**
- There are two main data points connected by a line with an arrow, indicating the direction of change.
- The first point has coordinates at approximately (1.4, 60.0) and is labeled with a temperature of \(T = 337K\).
- The second point has coordinates at approximately (1.6, 55.0) and is labeled with a temperature of \(T = 353K\).

3. **Line and Arrow:**
- There is a diagonal line connecting the two data points, indicating a transition between the two states.
- The line has an arrow pointing from the higher pressure and lower volume to the lower pressure and higher volume, suggesting an expansion process.

This diagram is typically used in thermodynamics to demonstrate how pressure and volume of a gas change with temperature, reflecting the principles of the ideal gas law.

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