Final answer:
The standard potential for the reduction of CIO4 to Cl' at pH = 0 is 1.20 V. The standard potential for the reduction of CIO4 to Cl' at pH = 4 cannot be determined without additional information. The spontaneity of the disproportionation reaction of Cl2 at pH 0 cannot be determined without the standard potentials.
Step-by-step explanation:
The Latimer diagram provided shows the potentials for different species at pH = 0. To find the standard potential for the reduction of CIO4 to Cl' at pH = 0, we look at the reduction half-reaction of CIO4 to Cl' and find its potential on the Latimer diagram. From the diagram, we can see that the potential for the reaction CIO4 + 2H+ + 2e- -> Cl' + 2HClO is 1.20 V. Therefore, the standard potential for the reduction of CIO4 to Cl' at pH = 0 is 1.20 V.
For the standard potential at pH = 4, we need to use the Nernst equation. The Nernst equation relates the standard potential to the concentration of the species and the pH of the solution. The equation is E = E° - (0.0592/n)log(Q), where E is the potential at a given pH, E° is the standard potential, n is the number of electrons transferred in the reaction, and Q is the reaction quotient. In this case, the reaction quotient is [Cl-][HClO]/[H+][ClO4-]. We can calculate the value of Q using the given concentrations and pH, and then use the Nernst equation to find the potential. However, the question does not provide the concentrations of the species or the value of Q, so we cannot determine the standard potential at pH = 4 without that information.