Chapter 4, Problem 55QAP

Glycerol (C₃H₈O₃) is commonly used as an additive to moisturizers. The amount of glycerol added can be determined by titration with permanganate in basic solution.

${\text{14MnO}}_{\text{4}}{}^{-}\left(aq\right)+{\text{C}}_{\text{3}}{\text{H}}_{\text{8}}{\text{O}}_{\text{3}}\left(aq\right)+\text{2}0{\text{OH}}^{-}\left(aq\right)\to {\text{14MnO}}_{\text{4}}{}^{\text{2}-}\left(aq\right)+{\text{3CO}}_{\text{3}}{}^{\text{2}-}\left(aq\right)+{\text{14H}}_{\text{2}}\text{O}$

How many milliliters of 6.15 M KMnO₄ are required to completely react with 7.25 mL of an aqueous solution of glycerol $\left(\text{d}=1.144\text{ g}/\text{mL}\right)$ that is 51.6% by mass?