We're now going to take a look at how to balance an acidic redox reaction. Like I said before, it's going to require a brand new approach to balance these types of reactions. So I'll follow the steps listed below and you'll be able to balance redox reactions. Now if we take a look here, it says in this example balance the following redox reaction if it is found to be in an acidic solution.
All right, so step one tells us that we have to break the full redox reaction into two half reactions. Now remember we focus on the elements that are not oxygen or hydrogen to determine the two half reactions. So nitrogen is an element that is not oxygen or hydrogen, and it's found here and here. That gives us 1/2 reaction. Don't worry about the state that they're in. We'll put those in later after we're done balancing. And then what else we see? Chromium. Here, Chromium is not oxygen or hydrogen, so that's our other half reaction. So dichromate ion gives us chromium 3 ion. We've done step one, so let's go to Step 2.
Step 2 tells us to, for each half reaction, balance elements that are not oxygen or hydrogen. So we have here 1 nitrogen 1 nitrogen, so they're balanced here. We have two chromiums but only one chromium. So put a two there, TE 3 for each half reaction, balance the number of oxygens by adding water. So here in the first one we have two oxygens and here we have 3 oxygens. So I'm going to put one water on this side so that this side has three oxygens as well. For the other half reaction we have 7 oxygens here but no oxygens on the product side. So we need to put 7 waters. So now we've done step three.
Step 4. Balance each half reaction when it comes to hydrogen by adding H plus. So if we take a look here on the first half reaction we have two hydrogens within water. So this side on the left has two hydrogens. So to balance it out on the right so that it has two as well, we put 2H plus. Now the other half a reaction, we have 7 waters, so that's 7 * 2. That's 14 hydrogens on the product side, which means I'd have to put 14-H plus here. So now both sides have the same number of hydrogens.
Now things can get a little bit tricky here. So pay very close attention to Step 5, balance the overall charge by adding electrons to the more positively charged side of each half reaction. All right, So let's look at how we determine their charges. The nitrite ion has a charge of -1. Water is neutral, so the overall charge on this side is -1. Look at the other side. We have one from the nitrate ion, but then we have 2 * + 1. That's +2 from the H pluses. So overall on this side it is +1. Now we add electrons to the more positive side. We add the number of electrons necessary to make its charge on this side, on this right side the same as on the left side. So since I'm starting out at one, that would mean that I would need to add 2 electrons. 2 electrons will make this side now equal to -1.
Let's go to the other side. So if we look at the other side, we have what we have 2 -, 2 from the dichromide ion and then 14 * + 1 is plus 14. So overall this side is plus 12. Then we have what we have 2 * + 3. This side is +6. Water is neutral, so we don't have to account for a charge Again. This side is plus 12. This side here is +6. I need to add enough electrons to the plus twelve side so that comes out to be +6 as well because remember add electrons but more positive side. So for both sides to be plus six, I would need to add 6 electrons to this side. So now doing that both sides will be +6.
But here's the thing about Step 5. If the number of electrons of both half reactions are different to fur, than multiply to get the lowest common multiple. So we have two electrons here and six electrons here. The lowest common multiple is 6, so I'd have to multiply this here by 3:00 so that this side also has six electrons just like the other half reaction. Now that we've done steps one through 5 steps 6 is combine the half reactions and cross out reaction intermediates. Remember, reaction intermediates are compounds that look the same with one look the same with one as a reactant and the other a product.
So here let me write them down. Now this three gets distributed to everything inside of the parentheses, so we're going to have three nitride ions plus 3 waters, roduce 3 nitrate ions plus six H + + 6 electrons. The other half reaction I didn't have to multiply by anything, so bring everything down. So dichromate plus fourteen H + + 6 electrons gives me two chromium 3 ions plus 7 waters. Your your electrons are always reaction intermediates because one will be a product, one will be a reactant. They must always completely cross out. Next we see that we have water here and water here. All three of these waters cancel out with three from here. That leaves us 4 remaining. Then we have H here and H here. All six of these H cancel out with six from here, which leaves us with eight O at the end.
Our balanced redox reaction should come out as three N2- plus dichromate ion. So let me write that down. Dichromate ion plus 8H plus gives ME3 nitrate ions +2 dichromate ions or two chromium 3 ions plus 4H2O. So this will be my balance redox reaction within an acidic solution. I know the steps can be a little bit daunting, but again, if you want to be able to balance a redox reaction, these are the steps that you need to employ in order to answer the question correctly. So just remember, keep practicing and you'll remember the order with enough of that.