Chapter 4, Problem 4.36P

The flavor of the first batch of Gatorade was improved by adding lemon juice, which contains citric acid $\left({\text{H}}_{\text{3}}{\text{C}}_{\text{6}}{\text{H}}_{\text{5}}{\text{O}}_7\right)$ . Citric acid is still added as flavoring to Sports drinks today. The concentration of citric acid in a beverage was determined by titration with sodium hydroxide according to the reaction:
${\text{H}}_{\text{3}}{\text{C}}_{\text{6}}{\text{H}}_{\text{5}}{\text{O}}_7\left(aq\right)+3\text{NaOH}\left(aq\right)\to {\text{Na}}_3{\text{C}}_6{\text{H}}_5{\text{O}}_7\left(aq\right)+3{\text{H}}_{2}O\left(l\right)$
If 25.0 mL of the beverage required 35.6 mL of 0.0400 M NaOHfor a complete reaction, calculate the molarity of citric acid.