We’re being asked to determine the ranking of gases according to density.

We will use the **ideal gas equation** :

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

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

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

Which is the correct ranking of the density of these gases at 1.0 atm and 298 K?

(a) CO < N_{2}O < Cl_{2} < HF

(b) Cl_{2} < N_{2}O < CO < HF

(c) all of these have the same density

(d) HF < CO < N_{2}O < Cl_{2}

(e) HF < CO < Cl _{2} < N_{2}O

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What scientific concept do you need to know in order to solve this problem?

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