Chapter 4, Problem 66E

Citric acid, ${\text{C}}_6{\text{H}}_5{\text{CH}}_3$, a component of jams, jellies, and fruity soft drinks, is prepared industrially via fermentation of sucrose by the mold Aspergillus niger . The equation representing this reaction is

${\text{C}}_{12}{\text{H}}_{22}{\text{O}}_{11}+{\text{H}}_2\text{O}+3{\text{O}}_2\to 2{\text{C}}_6{\text{H}}_8{\text{O}}_7+4{\text{H}}_2\text{O}$

What mass of citric acid is produced from exactly 1 metric ton $\left(1.000\times {10}^3\text{kg}\right)$ of sucrose if the yield is 92.30%?