Chapter 11, Problem 47E

A disproportionation reaction involves a substance thatacts as both an oxidizing agent and a reducing agent,producing higher and lower oxidation states of the sameelement in the products. Which of the following disproportionationreactions are spontaneous under standardconditions? Calculate $\Delta G°$ and K at 25°C for those reactionsthat are spontaneous under standard conditions.
a. ${\text{2Cu}}^{\text{+}}\text{(}aq\text{)}\to {\text{Cu}}^{\text{2+}}\text{(}aq\text{)+Cu(}s\text{)}$
b. ${\text{3Fe}}^{\text{2+}}\text{(}aq\text{)}\to {\text{2Fe}}^{\text{3+}}\text{(}aq\text{)+Fe(}s\text{)}$
c. ${\text{HClO}}_{\text{2}}\text{(}aq\text{)}\to {\text{ClO}}_{\text{3}}{}^{–}(aq)+\text{HClO(}aq\text{) }\left(\text{unbalanced}\right)$
Use the half-reactions: