Step-by-step solution
In conversion A, H_2O 1 2 O_2 + 2H^+ + 2e^-, the charge required for 1 mole of H_2O is 2F. In conversion B, MnO_4^- + 8H^+ + 5e^- Mn^ 2+ + 4H_2O, the oxidation state of Mn changes from +7 to +2, so the charge required for 1 mole of MnO_4^- is 5F. In conversion C, Ca^ 2+ + 2e^- Ca, the charge required for 1 mole of Ca is 2F. Therefore, the charge required for 1.5 moles of Ca is 1.5 2F = 3F. In conversion D, Fe^ 2+ Fe^ 3+ + e^-, the oxidation state of Fe changes from +2 in FeO to +3 in Fe_2O_3, so the charge required for 1 mole of FeO is 1F. Matching these values yields A-II, B-IV, C-I, D-III.