A macromolecular colloid of molar mass $48000\mathrm{g}\mathrm{mo}{\mathrm{l}}^{-1}$ is dissolved ($2.4\mathrm{g}$) in $100\mathrm{g}$ of water at a temperature where the vapour pressure of pure water is $23.76\mathrm{mmHg}$. Using $\Delta P=P^0{x}_2$ with the exact mole fraction (H = 1, O = 16), find $\Delta P$ in units of $10^{-4}\mathrm{mmHg}$, to two decimals.

Numerical answer type, answer in x 10^-4 mmHg, tolerance 0.02.