We’re being asked to determine at what density will oxygen gas have the same temperature as neon gas having a density of 3.10 g/L.

We will use the **ideal gas equation** to find the density of the oxygen gas.

$\overline{){\mathbf{P}}{\mathbf{V}}{\mathbf{=}}{\mathbf{n}}{\mathbf{R}}{\mathbf{T}}}$

$\frac{\mathbf{P}\overline{)\mathbf{V}}}{\overline{)\mathbf{V}}}\mathbf{=}\frac{\mathbf{n}\mathbf{R}\mathbf{T}}{\mathbf{V}}\phantom{\rule{0ex}{0ex}}\mathit{P}\mathbf{=}\frac{{\mathbf{n}}\mathbf{R}\mathbf{T}}{\mathbf{V}}$

${\mathit{n}}{\mathbf{=}}\frac{\mathbf{m}\mathbf{a}\mathbf{s}\mathbf{s}\mathbf{}\left(\mathbf{m}\right)}{\mathbf{m}\mathbf{o}\mathbf{l}\mathbf{a}\mathbf{r}\mathbf{}\mathbf{m}\mathbf{a}\mathbf{s}\mathbf{s}\mathbf{}\mathbf{\left(}\mathbf{M}\mathbf{\right)}}$

At what density (in g/L) will oxygen gas have the same temperature as neon gas having a density of 3.10 g/L, with all species being held at constant pressure.

a) 4.92

b) 1.96

c) 1.40

d) 2.22

e) 3.90

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