In acidic medium, K2Cr2O7 acts as a strong oxidizing agent where Cr2O72− is reduced to Cr3+.
The reduction half-reaction is: Cr2O72−+14H++6e−→2Cr3++7H2O.
For the oxidation of I− to I2:
The balanced oxidation half-reaction is 2I−→I2+2e−.
To balance the electrons with the reduction half-reaction (6 electrons), we multiply the oxidation half-reaction by 3:
6I−→3I2+6e−.
Thus, the number of electrons involved in the balanced redox reaction for I− oxidation is X=6.
For the oxidation of S2− to S:
The balanced oxidation half-reaction is S2−→S+2e−.
To balance the electrons with the reduction half-reaction (6 electrons), we multiply the oxidation half-reaction by 3:
3S2−→3S+6e−.
Thus, the number of electrons involved in the balanced redox reaction for S2− oxidation is Y=6.
The value of X+Y=6+6=12.