Answer:
[tex]2.22~g/L[/tex]
Explanation:
According to the ideal gas law equation:
[tex]pV = nRT[/tex]
Let's express the number of moles in terms of mass and molar mass:
[tex]pV = \frac{m}{M} RT[/tex]
Let's divide both sides by volume:
[tex]p = \frac{m}{MV} RT[/tex]
Notice that:
[tex]\frac{m}{V} = d[/tex]
So the equation becomes:
[tex]p = \frac{dRT}{M}[/tex]
Expressing density:
[tex]d = \frac{pM}{RT}[/tex]
Substituting the given values:
[tex]d = \frac{2.569~atm\cdot 32.49~g/mol}{0.08206~\frac{L~atm}{mol~K}\cdot 458~K} = 2.22~g/L[/tex]
