---
title: "A sample of an ideal gas expands from state \\(X\\) to state \\(Y\\) along a straight diagonal path on the \\(PV\\) diagram shown. During this process, the gas pressure increases linearly from \\(200 \\text{ Pa}\\) at a volume of \\(1.0 \\text{ m}^3\\) to \\(600 \\text{ Pa}\\) at a volume of \\(3.0 \\text{ m}^3\\). How much work is done by the gas on its surroundings during this expansion?"
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url: "https://nerd-notes.com/ubq/116179/"
date_modified: "2026-08-03T11:46:09+00:00"
---

# A sample of an ideal gas expands from state \(X\) to state \(Y\) along a straight diagonal path on the \(PV\) diagram shown. During this process, the gas pressure increases linearly from \(200 \text{ Pa}\) at a volume of \(1.0 \text{ m}^3\) to \(600 \text{ Pa}\) at a volume of \(3.0 \text{ m}^3\). How much work is done by the gas on its surroundings during this expansion?

A sample of an ideal gas expands from state \(X\) to state \(Y\) along a straight diagonal path on the \(PV\) diagram shown. During this process, the gas pressure increases linearly from \(200 \text{ Pa}\) at a volume of \(1.0 \text{ m}^3\) to \(600 \text{ Pa}\) at a volume of \(3.0 \text{ m}^3\). How much work is done by the gas on its surroundings during this expansion?

![A graph of pressure P in pascals versus volume V in cubic meters. The horizontal axis represents Volume V, scaled from 0 to 4 in increments of 1. The vertical axis represents Pressure P, scaled from 0 to 700 in increments of 100. Point X is located at V = 1.0, P = 200. Point Y is located at V = 3.0, P = 600. A straight diagonal line segment with an arrow pointing from X to Y connects the two points. The region under the line segment down to the horizontal axis between V = 1.0 and V = 3.0 is lightly shaded. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-pv-diagram-1785757568-N5rSDR.jpg)

- **A.** \(200 \text{ J}\)
- **B.** \(400 \text{ J}\)
- **C.** \(600 \text{ J}\)
- **D.** \(800 \text{ J}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/116179/*