1. (a) Calculate the net work output of a heat engine following path ABCDA in the figure below. WABCDA (b) What is the net work output of a heat engine that follows path ABDA in the figure above, with a straight line from B to D? WABDA Note: The units on the y-axis are in terms of 106 N/m². The units on the x-axis are in terms of 10-3 m³. = P (106 N/m²)
1. (a) Calculate the net work output of a heat engine following path ABCDA in the figure below. WABCDA (b) What is the net work output of a heat engine that follows path ABDA in the figure above, with a straight line from B to D? WABDA Note: The units on the y-axis are in terms of 106 N/m². The units on the x-axis are in terms of 10-3 m³. = P (106 N/m²)
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![### Heat Engine Net Work Output Calculation
1. **Calculate the net work output of a heat engine following path ABCDA in the figure below.**
\[ W_{ABCDA} = \text{________} \, \text{J} \]
2. **What is the net work output of a heat engine that follows path ABDA in the figure above, with a straight line from B to D?**
\[ W_{ABDA} = \text{________} \, \text{J} \]
**Note:** The units on the y-axis are in terms of \( 10^6 \, \text{N/m}^2 \). The units on the x-axis are in terms of \( 10^{-3} \, \text{m}^3 \).
#### Diagram Explanation
The graph provided is a Pressure (P) versus Volume (V) diagram, which is commonly used to represent the states and processes in a thermodynamic cycle.
**Axes:**
- The x-axis represents Volume (V) in units of \( 10^{-3} \) cubic meters (\( \text{m}^3 \)).
- The y-axis represents Pressure (P) in units of \( 10^6 \) Newtons per square meter (\( \text{N/m}^2 \)).
**Vertices and Paths:**
- The graph outlines a closed cycle with four vertices marked A, B, C, and D.
- Vertex A: (1.0, 2.6)
- Vertex B: (4.0, 2.0)
- Vertex C: (4.0, 0.6)
- Vertex D: (1.0, 1.0)
- Path ABCDA: This is a closed loop cycle that moves in the following order: A → B → C → D → A.
- Path ABDA: This path moves as follows: A → B → D → A, skipping point C.
#### Work Calculation
- To find the work done in each path, you need to compute the area enclosed by the paths in the P-V diagram. This can be done using methods of mathematical geometry or integration if the paths are non-linear.
- The net work output (\( W \)) for a cyclic process on a P-V diagram is typically represented by the area enclosed within the cycle. Positive work output indicates work done by the system, while negative work](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0761ca0b-8a30-47ed-b77e-00687bf0302e%2F74369cee-7ad7-4d70-92f8-2c16e0688777%2Fcr7tj8v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Heat Engine Net Work Output Calculation
1. **Calculate the net work output of a heat engine following path ABCDA in the figure below.**
\[ W_{ABCDA} = \text{________} \, \text{J} \]
2. **What is the net work output of a heat engine that follows path ABDA in the figure above, with a straight line from B to D?**
\[ W_{ABDA} = \text{________} \, \text{J} \]
**Note:** The units on the y-axis are in terms of \( 10^6 \, \text{N/m}^2 \). The units on the x-axis are in terms of \( 10^{-3} \, \text{m}^3 \).
#### Diagram Explanation
The graph provided is a Pressure (P) versus Volume (V) diagram, which is commonly used to represent the states and processes in a thermodynamic cycle.
**Axes:**
- The x-axis represents Volume (V) in units of \( 10^{-3} \) cubic meters (\( \text{m}^3 \)).
- The y-axis represents Pressure (P) in units of \( 10^6 \) Newtons per square meter (\( \text{N/m}^2 \)).
**Vertices and Paths:**
- The graph outlines a closed cycle with four vertices marked A, B, C, and D.
- Vertex A: (1.0, 2.6)
- Vertex B: (4.0, 2.0)
- Vertex C: (4.0, 0.6)
- Vertex D: (1.0, 1.0)
- Path ABCDA: This is a closed loop cycle that moves in the following order: A → B → C → D → A.
- Path ABDA: This path moves as follows: A → B → D → A, skipping point C.
#### Work Calculation
- To find the work done in each path, you need to compute the area enclosed by the paths in the P-V diagram. This can be done using methods of mathematical geometry or integration if the paths are non-linear.
- The net work output (\( W \)) for a cyclic process on a P-V diagram is typically represented by the area enclosed within the cycle. Positive work output indicates work done by the system, while negative work
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