# Problem: The density of a gas is 1.43 g/L at a temperature of 23° C and a pressure of 0.789 atm. Calculate the molar mass of the gas. Express the molar mass to three significant figures and include the appropriate units.

###### FREE Expert Solution

We’re being asked to calculate for the molar mass of a gas with a density of 1.43 g/L at 23°C, 0.789 atm

To calculate using density, we’re going to use the ideal gas equation.

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

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

$\mathbit{P}\mathbf{=}\frac{{\mathbf{n}}\mathbf{RT}}{\mathbf{V}}$

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###### Problem Details

The density of a gas is 1.43 g/L at a temperature of 23° C and a pressure of 0.789 atm. Calculate the molar mass of the gas. Express the molar mass to three significant figures and include the appropriate units.