Chapter 19, Problem 19.155MP

The reaction of ${\text{MnO}}_{\text{4}}{}^{\text{-}}$ with oxalic acid ${\text{(H}}_{\text{2}}{\text{C}}_{\text{2}}{\text{O}}_{\text{4}}\text{)}$ in acidic solution, yielding ${\text{Mn}}^{\text{2+}}$ and ${\text{CO}}_{\text{2}}$ gas, is widely used to determine the concentration of permanganate solutions.
(a) Write a balanced net ionic equation for the reaction.
(b) Use the data in Appendix D to calculate E° for the reaction.
(c) Show that the reaction goes to completion by calculating the values of $\Delta G^o$ and K at 25 °C.
(d) A 1.200 g sample of sodium oxalate $(N{a}_2{C}_2{O}_4)$ is dissolved in dilute ${\text{H}}_{\text{2}}{\text{SO}}_{\text{4}}$ and then titrated with a KMnO₄ solution. If 32.50 mL of the KMnO4 solution is required to reach the equivalence point, what is the molariry of the KMnO₄ solution?