The change in oxidation states method is so much faster. Letโs do it for the same reaction as in my first post.
(1. We know that the reactants are Cr2O7^2- and I^- and that the products will be Cr^3+ and I2, so letโs work out the changes in oxidation states for the elements of interest.
Cr: +6 (in Cr2O7^2-) - +3 (in Cr^3+) = +3
I: -1 (in I^-) - 0 (in I2) = -1
We now can work out the reacting ratio of Cr to I by ignoring the signs (e.g. we treat both changes in oxidation states as positive numbers) and flipping them round. This makes the Cr to I ratio 1:3. This makes setting up the equation much quicker and we can skip having to deal with cancelling electrons entirely.
Because Cr2O7^2- contains two chromiums, to maintain the Cr to I ratio, you need 6 I^- ions to react with it and not just 3. This is a common mistake in this particular example worth avoiding. Hence, we have:
Cr2O7^2-(aq) + 6I^-(aq) โ> Cr^3+(aq) + I2(aq)
(2. Much like with the earlier method, the solution is acidic and hence we can use H^+ and H2O to balance out the oxygens on the LHS:
Cr2O7^2-(aq) + H^+(aq) + 6I^-(aq) โ> Cr^3+(aq) + H2O(l) + I2(aq)
Now itโs a matter of just making the numbers on each side match. To avoid repeating myself, Iโll just put the correct answer below and leave working it out as an exercise to the reader if they so wish:
Cr2O7^2-(aq) + 14H^+(aq) + 6I^-(aq) โ> 2Cr^3+(aq) + 7H2O(l) + 3I2(aq)
And thus we are done.