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# Solution: A quantity of CO gas occupies a volume of 0.34L at 1.9atm and 309K . The pressure of the gas is lowered and its temperature is raised until its volume is 2.0L . Find the density of CO under the new co

###### Problem

A quantity of CO gas occupies a volume of 0.34L at 1.9atm and 309K . The pressure of the gas is lowered and its temperature is raised until its volume is 2.0L . Find the density of CO under the new conditions.

###### Solution

We’re being asked to calculate the density of CO gas when the pressure of the gas is lowered and its temperature is raised until its volume is 2.0 L.

We will calculate the density using the ideal gas law equation:

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

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

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