# Problem: Calculate the density of xenon gas at a pressure of 747 mmHg and a temperature of 41 oC.

###### FREE Expert Solution

Use the ideal gas equation to find the density of the xenon gas.

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

$\frac{\mathbf{P}\overline{)\mathbf{V}}}{\overline{)\mathbf{V}}}\mathbf{=}\frac{\mathbf{nRT}}{\mathbf{V}}\phantom{\rule{0ex}{0ex}}\mathbf{P}\mathbf{=}\frac{{\mathbf{n}}\mathbf{RT}}{\mathbf{V}}$

$\mathbf{P}\mathbf{=}\frac{{\mathbf{m}}\mathbf{RT}}{\mathbf{M}{\mathbf{V}}}$

$\mathbf{P}\left(\mathbf{M}\right)\mathbf{=}\frac{\mathbf{dRT}}{\overline{)\mathbf{M}}}\left(\overline{)\mathbf{M}}\right)\phantom{\rule{0ex}{0ex}}\frac{\mathbf{PM}}{\mathbf{RT}}\mathbf{=}\frac{\mathbf{d}\overline{)\mathbf{RT}}}{\overline{)\mathbf{RT}}}\phantom{\rule{0ex}{0ex}}\overline{){\mathbf{d}}{\mathbf{=}}\frac{\mathbf{PM}}{\mathbf{RT}}}$

80% (320 ratings)
###### Problem Details

Calculate the density of xenon gas at a pressure of 747 mmHg and a temperature of 41 oC.