What is the coefficient of Fe 3+ when the following reaction is balanced? Bi 3+ (aq) + Fe 3+ (aq) + H 2 O (l) → BiO 3 - (aq) + Fe 2+ (aq) + H + (aq)

Here it says, what is the coefficient of iron 3 ion when the following reaction is balanced? Alright. So first of all, we have the presence of h+ion. This tells me that this is a redox reaction in acidic solution because, remember, the presence of h plus means we have an acid involved in some way. What we need to realize here is that as we're balancing a redox reaction, we add in water and we add in h plus to balance oxygen and hydrogen. Let's take them out for now because as we're balancing we're gonna add them. So what's left represents our most basic redox reaction. Now let's work on balancing it and and figure out what the coefficient of iron 3 ion will be. So step 1, look for elements that are not oxygen or hydrogen. Bismuth with bismuth, iron with iron. So here we have b I three plus gives me b I o three minus. F e three plus gives me f e two plus. Now we're gonna balance elements that are not oxygen or hydrogen, 1 bismuth, 1 bismuth, 1 iron, 1 iron, so we're fine. Next, we're gonna balance out oxygens by adding water. We have here 3 oxygens, the other side has none, so add 3 waters. The other half reaction has no oxygens on either side so we don't have to add water. Next, we're gonna add h plus to balance out the number of hydrogens. So that's 3 times 2 is 6, so I'll have to put 6 h plus here. The other half reaction has no hydrogens. Now, balance overall charge, this side here overall is plus 3, this side here is minus 1, and then 6 times plus 1 is plus 6, so it's plus 5 overall. Remember, we're gonna add electrons to the more positively charged side so that it has the same charge at the end as this side. So to go from plus 5 to plus 3, I need to add 2 electrons. Plus 2. I need to add electrons to the more positive plus 2. I need to add electrons to the more positive side, so it has the same overall charge as this side. How do I go from a +3 to a+1 on a+2? I add 1 electron. Now remember your electrons in both half reactions must be the same. We have 2 electrons and 1 electron, So the lowest common multiple between them is 2. So do I have to multiply this whole thing by 2? That would mean that my coefficient in front of iron 3 ion would be 2. So this would be my answer. Here we're not asking for the redo balance redox reaction, all we're asking for is what is the coefficient of iron 3? So you can just stop here. And again the answer would be 2 as a coefficient of Iron 3 ion.

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6. Chemical Quantities & Aqueous Reactions

Balancing Redox Reactions: Acidic Solutions

General Chemistry

6. Chemical Quantities & Aqueous Reactions

Balancing Redox Reactions: Acidic Solutions

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Multiple Choice

What is the coefficient of Fe³⁺ when the following reaction is balanced?
Bi³⁺ (aq) + Fe³⁺ (aq) + H₂O (l) → BiO₃^-(aq) + Fe²⁺ (aq) + H⁺ (aq)

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Verified step by step guidance

Identify the oxidation states of each element in the reaction. Bi3+ is in the +3 oxidation state, Fe3+ is in the +3 oxidation state, and Fe2+ is in the +2 oxidation state. BiO3- has Bi in the +5 oxidation state.

Determine the changes in oxidation states. Bi3+ is oxidized to BiO3-, increasing its oxidation state from +3 to +5. Fe3+ is reduced to Fe2+, decreasing its oxidation state from +3 to +2.

Use the changes in oxidation states to balance the electrons transferred. Bi3+ gains 2 electrons to become BiO3-, and Fe3+ loses 1 electron to become Fe2+. Therefore, for every Bi3+ ion, 2 Fe3+ ions are needed to balance the electron transfer.

Balance the atoms and charges in the reaction. Ensure that the number of atoms of each element and the overall charge are the same on both sides of the equation.

Verify the balanced equation by checking that the number of each type of atom and the total charge are equal on both sides. The coefficient of Fe3+ should be 2 to balance the electron transfer.