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title: "An ideal gas undergoes a four-step cyclic process shown in the \\(P\\)-\\(V\\) diagram. The gas expands isobarically at a constant pressure of \\(600 \\text{ Pa}\\) from a volume of \\(2.0 \\text{ m}^3\\) to \\(5.0 \\text{ m}^3\\), cools at constant volume to a pressure of \\(200 \\text{ Pa}\\), compresses isobarically at \\(200 \\text{ Pa}\\) back to \\(2.0 \\text{ m}^3\\), and is heated at constant volume back to its initial state. What is the net work done by the gas during one complete cycle?"
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url: "https://nerd-notes.com/ubq/116203/"
date_modified: "2026-08-03T11:46:18+00:00"
---

# An ideal gas undergoes a four-step cyclic process shown in the \(P\)-\(V\) diagram. The gas expands isobarically at a constant pressure of \(600 \text{ Pa}\) from a volume of \(2.0 \text{ m}^3\) to \(5.0 \text{ m}^3\), cools at constant volume to a pressure of \(200 \text{ Pa}\), compresses isobarically at \(200 \text{ Pa}\) back to \(2.0 \text{ m}^3\), and is heated at constant volume back to its initial state. What is the net work done by the gas during one complete cycle?

An ideal gas undergoes a four-step cyclic process shown in the \(P\)-\(V\) diagram. The gas expands isobarically at a constant pressure of \(600 \text{ Pa}\) from a volume of \(2.0 \text{ m}^3\) to \(5.0 \text{ m}^3\), cools at constant volume to a pressure of \(200 \text{ Pa}\), compresses isobarically at \(200 \text{ Pa}\) back to \(2.0 \text{ m}^3\), and is heated at constant volume back to its initial state. What is the net work done by the gas during one complete cycle?

![A rectangular \(P\)-\(V\) diagram with pressure \(P\) on the vertical axis and volume \(V\) on the horizontal axis. The vertical axis has tick marks labeled \(200\text{ Pa}\) and \(600\text{ Pa}\). The horizontal axis has tick marks labeled \(2.0\text{ m}^3\) and \(5.0\text{ m}^3\). A closed rectangular loop with four vertex points forms the cycle: point 1 at \((2.0, 600)\), point 2 at \((5.0, 600)\), point 3 at \((5.0, 200)\), and point 4 at \((2.0, 200)\). A horizontal line segment with a rightward arrowhead connects point 1 to point 2. A vertical line segment with a downward arrowhead connects point 2 to point 3. A horizontal line segment with a leftward arrowhead connects point 3 to point 4. A vertical line segment with an upward arrowhead connects point 4 back to point 1. Dashed grid lines extend from each vertex to the corresponding axis ticks. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/pv-diagram-rectangular-cycle-1785757578-wjC0Ap.jpg)

- **A.** \(400 \text{ J}\)
- **B.** \(600 \text{ J}\)
- **C.** \(800 \text{ J}\)
- **D.** \(1200 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116203/*