# Problem: A sample of N2 O gas has a density of 2.90 g/L at 298 K.What must be the pressure of the gas (in mmHg)?

###### FREE Expert Solution

We will derive the density from the ideal gas law equation:

$\overline{){\mathbf{PV}}{\mathbf{=}}{\mathbf{nRT}}}$

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

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

Isolate pressure:

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###### Problem Details

A sample of N2 O gas has a density of 2.90 g/L at 298 K.

What must be the pressure of the gas (in mmHg)?