At $298 \mathrm{~K}$, Henry's law constant for $\mathrm{CO}_2$ in water is $1.67 \times 10^8 \mathrm{~Pa}$. At $298 \mathrm{~K}$, the quantity of $\mathrm{CO}_2$ in $1000 \mathrm{~mL}$ of soda water when packed at $1.67 \times 10^2 \mathrm{kPa} \mathrm{CO}_2$ pressure in $\mathrm{mol} \mathrm{L}^{-1}$ is : (water density $=1.0 \mathrm{~g} \mathrm{~cm}^{-3}$)