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AP Physics 2
9.4 The First Law of Thermodynamics
BeginnerMCQGraphicalMathematical15.2k
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.
PV diagram of the cyclic process.
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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