Question #239564

Write a balanced ionic equation to represent the oxidation of iodide ion (I-) by permanganate ion (MnO-4) in basic solution to yield molecular iodine (I2) and manganese (IV) oxide (MnO2).


Use the 7 step


1
Expert's answer
2021-09-21T01:53:54-0400

step 1: write the unbalanced ionic equation

MnO4+IMnO2+I2MnO_4^-+I^- \to MnO_2+I_2

step 2: assign the oxidation numbers

MnO2+IMnO2+I2MnO_2^-+I^- \to MnO_2+I_2

on the left hand side Mn has (-7) , O has (-2), and I^- has (-1).

on the right hand side, Mn has (+4) , O has (-2), and I2_2 has (0).

step 3: Identify the oxidizing and reducing agents to construct the unbalanced half-reaction :

Oxidation half-reaction

II2I^- \to I_2

Reduction half-reaction:

MnO4MnO2MnO_4^- \to MnO_2

Step 4: (a) To balance the I atoms in the oxidation half-reaction, we write

2II22I^- \to I_2

(b) To account for the change in oxidation numbers, we add two electrons to the right-hand side for oxidation half-reaction and three electrons to the left-hand side of reduction half-reaction:

2II2+2e2I^-\to I_2+2e^-

MnO2+3eMnO2MnO_2+3e^-\to MnO_2

( c ) Balance the ionic charges in each half-reaction by adding OH^- ions as the reaction carried out in basic medium. There is no need of this in oxidation half-reaction. In reduction half-reaction we add four OH^- ions to the right -hand side :

MnO4+3eMnO2+4OHMnO_4^-+3e^-\to MnO_2+4OH^-

Add H2_2 O molecules to balance the H and O atoms . There is no such requirement in oxidation half-reaction. In reduction half-reaction, we add two H2_2 O molecules on the left.

MnO4+2H2O+3eMnO2+4OHMnO_4^-+2H_2O+3e^-\to MnO_2+4OH^-

Step 5: Balance the electron transfer. To equalize the number of electrons, we multiply the oxidation half-reaction by 3 and the reduction half-reaction by 2:

6I3I2+6e6I^-\to 3I_2+6e^-

2MnO4+4H2O+6e2MnO2+8OH2MnO_4^-+4H_2O+6e^-\to 2MnO_2+8OH^-

Step 6: Add the two half-reactions to give

MnO4+6I+4H2O+6e2MnO2+3I2+8OH+6eMnO_4+6I^-+4H_2O+6e^-\to 2MnO_2+3I_2+8OH^-+6e^-

After cancelling the electrons on both sides, we obtain

MnO4+6I+4H2O+2MnO2+3I2+8OHMnO_4+6I^-+4H_2O+\to 2MnO_2+3I_2+8OH^-

Step 7: A final check shows that the equation is balanced with respect to both atoms and charges.


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