Final answer:
In acidic solutions, the reduction of permanganate involves the transfer of 5 electrons to form Mn^2+. In basic solutions, the reduction involves the transfer of 2 electrons to form solid MnO2.
Step-by-step explanation:
In acidic solutions, the permanganate anion (MnO4^-) is reduced to the Mn2+ cation. This involves a transfer of 5 electrons:
MnO4^- + 8H+ + 5e- → Mn2+ + 4H2O
In basic solutions, the permanganate anion (MnO4^-) is reduced to solid MnO2. This reduction involves the transfer of 2 electrons:
MnO4^- + 4H2O + 2e- → MnO2 + 4OH-