Answer:
49.2 g/mol
Explanation:
Let's first take account of what we have and convert them into the correct units.
Volume= 236 mL x ([tex]\frac{1 L}{1000 mL}[/tex]) = .236 L
Pressure= 740 mm Hg x ([tex]\frac{1 atm}{760 mm Hg}[/tex])= 0.97 atm
Temperature= 22C + 273= 295 K
mass= 0.443 g
Molar mass is in grams per mole, or MM= [tex]\frac{mass}{moles}[/tex] or MM= [tex]\frac{m}{n}[/tex]. They're all the same.
We have mass (0.443 g) we just need moles. We can find moles with the ideal gas constant PV=nRT. We want to solve for n, so we'll rearrange it to be
n=[tex]\frac{PV}{RT}[/tex], where R (constant)= 0.082 L atm mol-1 K-1
Let's plug in what we know.
n=[tex]\frac{(0.97 atm)(0.236 L)}{(0.082)(295K)}[/tex]
n= 0.009 mol
Let's look back at MM= [tex]\frac{m}{n}[/tex] and plug in what we know.
MM= [tex]\frac{0.443 g}{0.009 mol}[/tex]
MM= 49.2 g/mol
