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title: "A sample of an ideal gas undergoes a closed thermodynamic cycle \\(A \\rightarrow B \\rightarrow C \\rightarrow A\\), as represented in the \\(PV\\) diagram.  – Process \\(A \\rightarrow B\\) is an isobaric expansion at a constant pressure of \\(4.0 \\times 10^5 \\text{ Pa}\\) from an initial volume \\(V_A = 2.0 \\times 10^{-3} \\text{ m}^3\\) to a final volume \\(V_B = 5.0 \\times 10^{-3} \\text{ m}^3\\). – Process \\(B \\rightarrow C\\) is an adiabatic expansion during which the gas performs \\(900 \\text{ J}\\) of work on its surroundings. – Process \\(C \\rightarrow A\\) is an isothermal compression back to state \\(A\\), during which \\(1000 \\text{ J}\\) of thermal energy is transferred out of the gas.  What is the net heat added to the gas during process \\(A \\rightarrow B\\)?"
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date_modified: "2026-08-03T11:46:32+00:00"
---

# A sample of an ideal gas undergoes a closed thermodynamic cycle \(A \rightarrow B \rightarrow C \rightarrow A\), as represented in the \(PV\) diagram.

– Process \(A \rightarrow B\) is an isobaric expansion at a constant pressure of \(4.0 \times 10^5 \text{ Pa}\) from an initial volume \(V_A = 2.0 \times 10^{-3} \text{ m}^3\) to a final volume \(V_B = 5.0 \times 10^{-3} \text{ m}^3\).
– Process \(B \rightarrow C\) is an adiabatic expansion during which the gas performs \(900 \text{ J}\) of work on its surroundings.
– Process \(C \rightarrow A\) is an isothermal compression back to state \(A\), during which \(1000 \text{ J}\) of thermal energy is transferred out of the gas.

What is the net heat added to the gas during process \(A \rightarrow B\)?

A sample of an ideal gas undergoes a closed thermodynamic cycle \(A \rightarrow B \rightarrow C \rightarrow A\), as represented in the \(PV\) diagram.

- Process \(A \rightarrow B\) is an isobaric expansion at a constant pressure of \(4.0 \times 10^5 \text{ Pa}\) from an initial volume \(V_A = 2.0 \times 10^{-3} \text{ m}^3\) to a final volume \(V_B = 5.0 \times 10^{-3} \text{ m}^3\).
- Process \(B \rightarrow C\) is an adiabatic expansion during which the gas performs \(900 \text{ J}\) of work on its surroundings.
- Process \(C \rightarrow A\) is an isothermal compression back to state \(A\), during which \(1000 \text{ J}\) of thermal energy is transferred out of the gas.

What is the net heat added to the gas during process \(A \rightarrow B\)?

![A PV diagram with pressure P on the vertical axis and volume V on the horizontal axis. State A is located at (2.0, 4.0) corresponding to volume 2.0 times 10^-3 m^3 and pressure 4.0 times 10^5 Pa. A horizontal line with an arrow pointing right connects state A to state B at (5.0, 4.0). A smooth curve concave upward with an arrow pointing down and right connects state B to state C at a larger volume and lower pressure. A smooth curve concave upward with an arrow pointing up and left connects state C back to state A. Process A to B, B to C, and C to A are labeled next to their respective path segments. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-pv-diagram-1785757592-vQZLl1.jpg)

- **A.** \(300 \text{ J}\)
- **B.** \(900 \text{ J}\)
- **C.** \(1200 \text{ J}\)
- **D.** \(2100 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116265/*