Answer :
Answer: D=4.35g/L
Explanation:
The formula for density is [tex]D=\frac{M}{V}[/tex]. M is mass in grams and V is volume in liters.
Since we are give pressure and temperature, we can use the ideal gas law to find moles/volume. FInding moles/volume would give us the base for density. All we would have to do is convert moles to grams.
Ideal Gas Law: PV=nRT
[tex]\frac{n}{V} =\frac{P}{RT}[/tex]
[tex]\frac{n}{V}=\frac{1.50 atm}{(0.08206Latm/Kmol)(25+274.15K)}[/tex]
[tex]\frac{n}{V} =\frac{0.061309mol}{L}[/tex]
Now that we have moles, we can use molar mass of chlorine gas to find grams.
[tex]0.061309mol*\frac{71.0g}{mol} =4.3529g[/tex]
With our grams, we can find our density.
[tex]D=\frac{4.3529g}{L}[/tex]
We need correct significant figures so our density is:
[tex]D=\frac{4.35g}{L}[/tex]