If the density of surface sites is $2.40 \times 10^{14} \mathrm{~cm}^{-2}$ and every molecule that strikes the surface adsorbs to one of these sites, determine the fraction of a monolayer created by the exposure of a $1.00-\mathrm{cm}^{2}$ surface to $1.00 \times 10^{-4}$ langmuir of $\mathrm{N}_{2}(\mathrm{~g})$ at $298.15 \mathrm{~K}$.