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title: "An ideal monatomic gas undergoes the thermodynamic cycle \\(A \\rightarrow B \\rightarrow C \\rightarrow A\\) shown in the \\(P\\)-\\(V\\) diagram. Process \\(A \\rightarrow B\\) is isochoric heating, process \\(B \\rightarrow C\\) is a linear expansion, and process \\(C \\rightarrow A\\) is an isobaric compression. The state parameters are \\(P_A = 100 \\text{ kPa}\\), \\(P_B = 400 \\text{ kPa}\\), \\(V_A = V_B = 2.0 \\times 10^{-3} \\text{ m}^3\\), and \\(V_C = 6.0 \\times 10^{-3} \\text{ m}^3\\). What is the thermal efficiency of this engine cycle?"
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url: "https://nerd-notes.com/ubq/116259/"
date_modified: "2026-08-21T23:32:07+00:00"
---

# An ideal monatomic gas undergoes the thermodynamic cycle \(A \rightarrow B \rightarrow C \rightarrow A\) shown in the \(P\)-\(V\) diagram. Process \(A \rightarrow B\) is isochoric heating, process \(B \rightarrow C\) is a linear expansion, and process \(C \rightarrow A\) is an isobaric compression. The state parameters are \(P_A = 100 \text{ kPa}\), \(P_B = 400 \text{ kPa}\), \(V_A = V_B = 2.0 \times 10^{-3} \text{ m}^3\), and \(V_C = 6.0 \times 10^{-3} \text{ m}^3\). What is the thermal efficiency of this engine cycle?

An ideal monatomic gas undergoes the thermodynamic cycle \(A \rightarrow B \rightarrow C \rightarrow A\) shown in the \(P\)-\(V\) diagram. Process \(A \rightarrow B\) is isochoric heating, process \(B \rightarrow C\) is a linear expansion, and process \(C \rightarrow A\) is an isobaric compression. The state parameters are \(P_A = 100 \text{ kPa}\), \(P_B = 400 \text{ kPa}\), \(V_A = V_B = 2.0 \times 10^{-3} \text{ m}^3\), and \(V_C = 6.0 \times 10^{-3} \text{ m}^3\). What is the thermal efficiency of this engine cycle?

![A graph of pressure P on the vertical axis versus volume V on the horizontal axis. State A is at (2.0, 100), State B is directly above A at (2.0, 400), and State C is to the right of A at (6.0, 100). The vertical axis is labeled 'Pressure P (kPa)' with ticks at 100 and 400. The horizontal axis is labeled 'Volume V (10^-3 m^3)' with ticks at 2.0 and 6.0. Three straight directed line segments form a closed right triangle: a vertical segment with an upward arrow from A to B, a diagonal segment with a downward-right arrow from B to C, and a horizontal segment with a leftward arrow from C to A. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785757590-tWUupt.jpg)

- **A.** \(27\%\)
- **B.** \(38\%\)
- **C.** \(60\%\)
- **D.** \(67\%\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116259/*