A soft drink was bottled with a partial pressure of CO_2 of 3 bar over the liquid at room temperature. The partial pressure of CO_2 over the solution…

A soft drink was bottled with a partial pressure of $\displaystyle \mathrm{CO}_2$ of $\displaystyle 3$ bar over the liquid at room temperature. The partial pressure of $\displaystyle \mathrm{CO}_2$ over the solution approaches a value of $\displaystyle 30$ bar when $\displaystyle 44$ g of $\displaystyle \mathrm{CO}_2$ is dissolved in $\displaystyle 1$ kg of water at room temperature. The approximate pH of the soft drink is \_\_\_\_ $\displaystyle \times 10^{-1}$. (First dissociation constant of $\displaystyle \mathrm{H}_2 \mathrm{CO}_3=4.0 \times 10^{-7} ; \log 2=0.3$; density of the soft drink $\displaystyle =1 \mathrm{~g} \mathrm{~mL}^{-1}$ )