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)...
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
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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