At $20^{\circ} \mathrm{C}(293 \mathrm{~K})$ and a partial pressure of $10^{5} \mathrm{~Pa}$, the solubility of $\mathrm{CO}_{2}$ in water is $0.169 \mathrm{~g} / 100 \mathrm{~mL}$. What is the solubility of $\mathrm{CO}_{2}$ at $33.3 \times 10^{5} \mathrm{~Pa}$ ?