Chapter 5, Problem 94FP

Sodium cyclopentadienide, ${\text{NaC}}_{\text{2}}{\text{H}}_{\text{2,}}$ is a common reducing agent in the chemical laboratory, but there is a problem using it: ${\text{NaC}}_{\text{2}}{\text{H}}_{\text{2,}}$ is contaminated tetrahydrofuran $\left(\text{THF}\right){\text{, C}}_{\text{4}}{\text{H}}_{\text{2}}\text{O,}$ a solvent used in its preparation. The THFis present as ${\text{NaC}}_{\text{2}}{\text{H}}_{\text{2,}}$ (THF)2 and it is generally necessary to know how much of this ${\text{NaC}}_{\text{2}}{\text{H}}_{\text{2,}}$ ${\left(\text{THF}\right)}_{\text{2}}$ is present. This is accomplished by allowing a small amount of the to react with water.
${\text{NaC}}_{\text{5}}{\text{H}}_{\text{5}}\cdot {\left({\text{C}}_{\text{4}}{\text{H}}_{\text{8}}\text{O}\right)}_{\text{z}}{\text{+H}}_{\text{2}}\text{O}\to \text{NaOH}\left(\text{aq}\right){\text{+C}}_{\text{5}}{\text{H}}_{\text{4}}{\text{- H+xC}}_{\text{4}}{\text{H}}_{\text{8}}\text{O}$
followed by titration of the NaOH(aq) with standard acid. From the sample data tabulated below, determine the value of x formula ${\text{NaC}}_{\text{5}}{\text{H}}_{\text{5}}\cdot {\left(\text{THF}\right)}_{\text{z}}$_.