(Solved): Titration analysis with sodium hydroxide is used to determine the amount of tartaric acid, \( \mat ...

Titration analysis with sodium hydroxide is used to determine the amount of tartaric acid, \( \mathrm{C}_{4} \mathrm{H}_{6} \mathrm{O}_{6} \), in wine through the reaction \( \mathrm{C}_{4} \mathrm{H}_{6} \mathrm{O}_{6}+2 \mathrm{NaOH} \rightarrow \mathrm{Na}_{2}\left(\mathrm{C}_{4} \mathrm{H}_{4} \mathrm{O}_{6}\right)+ \) \( 2 \mathrm{H}_{2} \mathrm{O} \). If \( 25.7 \mathrm{~mL} \) of \( 0.100 \mathrm{M} \mathrm{NaOH} \) is required to titrate \( 30.0 \mathrm{~mL} \) of wine, what is the molarity of tartaric acid in the wine? \[ \begin{array}{l} 0.0584 \mathrm{M} \\ 0.0857 \mathrm{M} \\ 0.0428 \mathrm{M} \\ 0.0402 \mathrm{M} \end{array} \]