One liter of fully oxygenated blood can carry 0.18 liters of $\mathrm{O}_2$ measured at $T=298 \mathrm{~K}$ and $P=1.00 \mathrm{~atm}$. Calculate the number of moles of $\mathrm{O}_2$ carried per liter of blood. Hemoglobin, the oxygen transport protein in blood has four oxygen binding sites. How many hemoglobin molecules are required to transport the $\mathrm{O}_2$ in $1.0 \mathrm{~L}$ of fully oxygenated blood?
1.11