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A certain heat engine performs a cycle described by the curve A→B→C→A in the p-V diagram shown in the figure. The segments between the designated points are all straight. The values of the pressures and volumes at the designated points are: VA = 0.91×10-3 m3 VB = 3.8×10-3 m3 pA = 2.95×106 Pa pB = 2.34×106 Pa pC = 1.16×106 Pa   What is the net work output of the heat engine, in joules, over a single cycle of operation?

A certain heat engine performs a cycle described by the curve A→B→C→A in the p-V diagram shown in the figure. The segments between the designated points are all straight. The values of the pressures and volumes at the designated points are: VA = 0.91×10-3 m3 VB = 3.8×10-3 m3 pA = 2.95×106 Pa pB = 2.34×106 Pa pC = 1.16×106 Pa   What is the net work output of the heat engine, in joules, over a single cycle of operation?

College Physics
College Physics
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ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter9: Solids And Fluids
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A certain heat engine performs a cycle described by the curve A→B→C→A in the p-V diagram shown in the figure. The segments between the designated points are all straight. The values of the pressures and volumes at the designated points are:

VA = 0.91×10-3 m3
VB = 3.8×10-3 m3
pA = 2.95×106 Pa
pB = 2.34×106 Pa
pC = 1.16×106 Pa

 

What is the net work output of the heat engine, in joules, over a single cycle of operation?

### Transcription and Explanation of the Diagram: #### Diagram Description: The diagram is a pressure-volume (p-V) graph that illustrates the relationship between pressure (p) in \(10^6 \, \text{Pa}\) and volume (V) in \(10^{-3} \, \text{m}^3\). It consists of three main points: A, B, and C, connected with lines forming a cycle. #### Axes: - **Vertical Axis (y-axis):** Represents pressure \( p \) in units of \(10^6 \, \text{Pa}\). - **Horizontal Axis (x-axis):** Represents volume \( V \) in units of \(10^{-3} \, \text{m}^3\). #### Points and Lines: - **Point A:** Positioned at pressure \( p_A \) with corresponding volume \( V_A \). - **Point B:** Higher than point C at pressure \( p_B \) and volume \( V_B \). - **Point C:** Lower than point A with pressure \( p_C \). #### Graph Lines: 1. **Line AB:** Represents a process where both pressure decreases from \( p_A \) to \( p_B \) and volume increases from \( V_A \) to \( V_B \). 2. **Line AC:** Shows a decrease in pressure from \( p_A \) to \( p_C \) while the volume remains at \( V_A \). 3. **Line BC:** Shows an increase in volume from \( V_A \) to \( V_B \) at constant pressure \( p_B \). #### Graph Features: - **Horizontal Lines:** Indicate processes occurring at constant pressures \( p_A, p_B, \) and \( p_C \). - **Vertical Line at \( V_A \):** Connects points C and A, showing constant volume. - **Vertical Line at \( V_B \):** Connects points C and B, showing constant volume. ### Educational Insights: This diagram is commonly used to represent thermodynamic processes in a closed cycle. Understanding these types of diagrams is crucial for studying how pressure and volume changes can affect the state of a system, which is fundamental to thermodynamics and engineering applications.
Transcribed Image Text:### Transcription and Explanation of the Diagram: #### Diagram Description: The diagram is a pressure-volume (p-V) graph that illustrates the relationship between pressure (p) in \(10^6 \, \text{Pa}\) and volume (V) in \(10^{-3} \, \text{m}^3\). It consists of three main points: A, B, and C, connected with lines forming a cycle. #### Axes: - **Vertical Axis (y-axis):** Represents pressure \( p \) in units of \(10^6 \, \text{Pa}\). - **Horizontal Axis (x-axis):** Represents volume \( V \) in units of \(10^{-3} \, \text{m}^3\). #### Points and Lines: - **Point A:** Positioned at pressure \( p_A \) with corresponding volume \( V_A \). - **Point B:** Higher than point C at pressure \( p_B \) and volume \( V_B \). - **Point C:** Lower than point A with pressure \( p_C \). #### Graph Lines: 1. **Line AB:** Represents a process where both pressure decreases from \( p_A \) to \( p_B \) and volume increases from \( V_A \) to \( V_B \). 2. **Line AC:** Shows a decrease in pressure from \( p_A \) to \( p_C \) while the volume remains at \( V_A \). 3. **Line BC:** Shows an increase in volume from \( V_A \) to \( V_B \) at constant pressure \( p_B \). #### Graph Features: - **Horizontal Lines:** Indicate processes occurring at constant pressures \( p_A, p_B, \) and \( p_C \). - **Vertical Line at \( V_A \):** Connects points C and A, showing constant volume. - **Vertical Line at \( V_B \):** Connects points C and B, showing constant volume. ### Educational Insights: This diagram is commonly used to represent thermodynamic processes in a closed cycle. Understanding these types of diagrams is crucial for studying how pressure and volume changes can affect the state of a system, which is fundamental to thermodynamics and engineering applications.
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