---
title: "A student performs an experiment on a sample of helium gas contained in a cylinder with a variable volume. The student measures the pressure \\(P\\), absolute temperature \\(T\\), and volume \\(V\\) for four equilibrium states, as shown in the table.  | Trial | Pressure \\(P\\) (\\(\\times 10^5 \\text{ Pa}\\)) | Temperature \\(T\\) (\\(\\text{K}\\)) | Volume \\(V\\) (\\(\\times 10^{-3} \\text{ m}^3\\)) | |——-|———————————————|———————————-|———————————————-| | 1     | 1.0                                         | 300                              | 3.0                                          | | 2     | 1.5                                         | 360                              | 2.4                                          | | 3     | 2.0                                         | 400                              | 2.0                                          | | 4     | 2.5                                         | 500                              | 2.0                                          |  To construct a linear graph using all four data points such that the slope of the best-fit line is equal to \\(nR\\), where \\(n\\) is the number of moles of helium gas and \\(R\\) is the universal gas constant, which quantities should be plotted on the vertical and horizontal axes?"
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url: "https://nerd-notes.com/ubq/117317/"
date_modified: "2026-08-04T06:51:44+00:00"
---

# A student performs an experiment on a sample of helium gas contained in a cylinder with a variable volume. The student measures the pressure \(P\), absolute temperature \(T\), and volume \(V\) for four equilibrium states, as shown in the table.

| Trial | Pressure \(P\) (\(\times 10^5 \text{ Pa}\)) | Temperature \(T\) (\(\text{K}\)) | Volume \(V\) (\(\times 10^{-3} \text{ m}^3\)) |
|——-|———————————————|———————————-|———————————————-|
| 1     | 1.0                                         | 300                              | 3.0                                          |
| 2     | 1.5                                         | 360                              | 2.4                                          |
| 3     | 2.0                                         | 400                              | 2.0                                          |
| 4     | 2.5                                         | 500                              | 2.0                                          |

To construct a linear graph using all four data points such that the slope of the best-fit line is equal to \(nR\), where \(n\) is the number of moles of helium gas and \(R\) is the universal gas constant, which quantities should be plotted on the vertical and horizontal axes?

A student performs an experiment on a sample of helium gas contained in a cylinder with a variable volume. The student measures the pressure \(P\), absolute temperature \(T\), and volume \(V\) for four equilibrium states, as shown in the table.

| Trial | Pressure \(P\) (\(\times 10^5 \text{ Pa}\)) | Temperature \(T\) (\(\text{K}\)) | Volume \(V\) (\(\times 10^{-3} \text{ m}^3\)) |
|-------|---------------------------------------------|----------------------------------|----------------------------------------------|
| 1     | 1.0                                         | 300                              | 3.0                                          |
| 2     | 1.5                                         | 360                              | 2.4                                          |
| 3     | 2.0                                         | 400                              | 2.0                                          |
| 4     | 2.5                                         | 500                              | 2.0                                          |

To construct a linear graph using all four data points such that the slope of the best-fit line is equal to \(nR\), where \(n\) is the number of moles of helium gas and \(R\) is the universal gas constant, which quantities should be plotted on the vertical and horizontal axes?

- **A.** Vertical axis: \(PV\); Horizontal axis: \(T\)
- **B.** Vertical axis: \(P\); Horizontal axis: \(T\)
- **C.** Vertical axis: \(V\); Horizontal axis: \(T\)
- **D.** Vertical axis: \(\dfrac{P}{T}\); Horizontal axis: \(V\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117317/*