Final answer:
The balanced equation for the reaction in acidic aqueous solution is MnO4- (aq) + 4H+ (aq) + 2S2- (aq) → MnO2 (s) + 2S (s) + 2H2O (l).
Step-by-step explanation:
The balanced equation for the reaction that takes place between MnO4- (aq), 4H+ (aq), and 2S2- (aq) in acidic aqueous solution is:
MnO4- (aq) + 4H+ (aq) + 2S2- (aq) → MnO2 (s) + 2S (s) + 2H2O (l)
In this balanced equation, the permanganate ion (MnO4-) is reduced to manganese(IV) oxide (MnO2), and the sulfide ion (S2-) is oxidized to sulfur (S). The presence of acid (H+) is necessary to balance the charges and ensure the reaction proceeds.