Final answer:
Unable to calculate the pH of the cathode compartment without the full reaction details and standard potentials.
Step-by-step explanation:
Since the question provided (calculate the pH of the cathode compartment for a reaction with a given cell potential and concentrations) appears to be missing the full reaction and also does not provide necessary data like standard electrode potentials or any information on the pH at the anode, it isn't possible to calculate the pH at the cathode using the Nernst equation. Typically, the Nernst equation would allow us to calculate the cell potential for non-standard conditions and from that, infer the concentration of hydrogen ions (and thus pH) in the cathode compartment. However, without the full details of the reaction occurring at each electrode and the half-cell potential for the reference electrode, the pH cannot be reliably determined.