# Problem: An ideal gas mixture contains 35% helium, 20% methane, and 45% nitrogen (by volume) at 2.00 atm and 90°C. Calculate the density of the gas mixture in kg/ m3.

###### FREE Expert Solution

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

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

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

95% (237 ratings)
###### Problem Details

An ideal gas mixture contains 35% helium, 20% methane, and 45% nitrogen (by volume) at 2.00 atm and 90°C. Calculate the density of the gas mixture in kg/ m3.