Final answer:
The balanced half-reaction of S^2-(aq) turning into SO2(g) in basic solution is S^2-(aq) + 2H2O(l) = SO2(g) + 4OH^-(aq), which ensures both charge and atom balance.
Step-by-step explanation:
In a basic solution, to balance the half-reaction of S2-(aq) turning into SO2(g), you need to balance both the charges and the atoms. The balanced half-reaction is:
S2-(aq) + 2H2O(l) = SO2(g) + 4OH-(aq)
This equation is balanced in terms of charge as the 2 negative charges from S2- and the 4 negative charges from 4OH- balance out. It is also balanced in terms of atoms since we have one S atom on both sides, three O atoms on the left (one from S2- and two from water) and three on the right (all in SO2), as well as four H atoms on both sides (two H2O supply four H atoms on the left and 4OH- supply four H on the right).