W02 = W05 = 137172.5 165773.9 Incorrect J J

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### Pressure vs. Volume (pV) Diagram Analysis

This educational module explores the pressure versus volume (pV) diagram for a specific system. The graph illustrates a multi-step process with arrows indicating the flow direction. Key points (0 through 5) are marked on the diagram, and their corresponding pressure and volume values are provided in a tabular form.

#### Values of Interest:

| Volume (m³) | Pressure (Pa) |
|-------------|---------------|
| V₀ = 27.4   | p₀ = 1.37 × 10⁴  |
| V₁ = 19.9   | p₁ = 1.37 × 10⁴  |
| V₂ = 16.4   | p₂ = 5.97 × 10³  |
| V₃ = 13.6   | p₃ = 5.97 × 10³  |
| V₄ = 13.6   | p₄ = 2.50 × 10³  |
| V₅ =  8.02  | p₅ = 1.76 × 10³  |

#### Task:
- **Calculate the work done** on the system between steps:
  - From 0 to 2 (denoted as W₀₂)
  - For the entire path from 0 to 5 (denoted as W₀₅)

#### Calculations:
- The work done from 0 to 2, \( W₀₂ \), is calculated to be **137172.5 Joules**.
- The initially calculated work for the entire curve from 0 to 5, \( W₀₅ \), is **165773.9 Joules**, which is marked as incorrect.

#### Diagram Explanation:
- The graph plots Pressure (Pa) on the Y-axis against Volume (m³) on the X-axis, depicting the system's process changes through a sequence of linear segments connecting points 0 to 5.

This diagram and corresponding calculations aid in understanding the relationship between pressure, volume, and work in thermodynamic processes.
Transcribed Image Text:### Pressure vs. Volume (pV) Diagram Analysis This educational module explores the pressure versus volume (pV) diagram for a specific system. The graph illustrates a multi-step process with arrows indicating the flow direction. Key points (0 through 5) are marked on the diagram, and their corresponding pressure and volume values are provided in a tabular form. #### Values of Interest: | Volume (m³) | Pressure (Pa) | |-------------|---------------| | V₀ = 27.4 | p₀ = 1.37 × 10⁴ | | V₁ = 19.9 | p₁ = 1.37 × 10⁴ | | V₂ = 16.4 | p₂ = 5.97 × 10³ | | V₃ = 13.6 | p₃ = 5.97 × 10³ | | V₄ = 13.6 | p₄ = 2.50 × 10³ | | V₅ = 8.02 | p₅ = 1.76 × 10³ | #### Task: - **Calculate the work done** on the system between steps: - From 0 to 2 (denoted as W₀₂) - For the entire path from 0 to 5 (denoted as W₀₅) #### Calculations: - The work done from 0 to 2, \( W₀₂ \), is calculated to be **137172.5 Joules**. - The initially calculated work for the entire curve from 0 to 5, \( W₀₅ \), is **165773.9 Joules**, which is marked as incorrect. #### Diagram Explanation: - The graph plots Pressure (Pa) on the Y-axis against Volume (m³) on the X-axis, depicting the system's process changes through a sequence of linear segments connecting points 0 to 5. This diagram and corresponding calculations aid in understanding the relationship between pressure, volume, and work in thermodynamic processes.
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