AP Physics 2
9.2 The Ideal Gas Law
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.
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?
| 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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