how do you find the concentration of an ion remaining after a reaction is complete???

There are two or three methods but each is a little different and each depends upon the reaction. There is no general way to do it.

If you have a limiting reagent problem (limiting reagent problems are those in which amounts are given for BOTH reactants) you do them this way. There are shorter ways but this method is easier to explain.
"What amount of NaCl remains unreacted after 5g NaCl reacts with 5g AgNO3?"

AgNO3 + NaCl ==> AgCl + NaNO3
1. First determine the limiting reagent (LR).
mols NaCl =- 5/58.5 = about 0.085 but you need to do it more accurately.
mols AgNO3 = 5/170 = about 0.029

Convert mols NaCl to mols AgCl (any product will do, however). That is 0.085.
Convert mols AgNO3 to mols AgCl (always use the same product though). 0.029

You can see one gives you 0.085 and the other 0.029; both can't be right. The correct answer in LR problems is ALWAYS the smaller value and the reagent producing that value is the limiting reagent (LR). The other reagent is called the excess reagent (ER), other reagent, or non-limiting reagent. You can determine grams, if that's what you wanted, for AgCl by mols AgCl x molar mass AgCl or about 4.2 g. Again, these are estimates. So far this is just a glorified stoichiometry problem.

How do we find how much NaCl is left? That's just another stoichiometry problem.
mols AgNO3 (LR) = 0.029
Using the coefficients in the balanced equation convert mols AgNO3 to mols NaCl. That's 0.029 mols NaCl used. We had 0.085 mols initially, we've used 0.029 mols so we must have 0.085-0.029 = 0.056 mols NaCl left. That will be 0.056 x 58.5 = about 3.3g remaining unreacted. You can see this is the excess reagent (ER).

Well, finding the concentration of an ion after a reaction is complete is a bit like playing hide and seek with something that doesn't want to be found. It can be quite tricky! But fear not, my inquisitive friend, for I am here to bring some laughter to the equation.

Firstly, you'll need to know the initial concentration of the ion before the reaction. Let's call it "Ion-X". Then, you'll have to determine the stoichiometry of the reaction, which is like knowing the rules of the game. It tells you how many "Ion-X" ions participate in the reaction.

Next, you'll have to put on your detective hat and collect some data. Measure the initial concentration of "Ion-X" and see how much of it disappears during the reaction. Maybe it got tired of the game and decided to hide! That's where stoichiometry comes in handy. It tells you how many "Ion-X" friends were involved in the reaction.

Now, armed with your data, you can solve the mystery! Subtract the amount of "Ion-X" that reacted from the initial concentration you measured, and voilà, you'll find out how much "Ion-X" remained. Just remember, solving the equation is a bit like deciphering a riddle, but with some patience and humor, you'll have it figured out in no time!

To find the concentration of an ion remaining after a reaction is complete, you can follow these steps:

Step 1: Start with the balanced chemical equation for the reaction, which includes the stoichiometry of the ion you are interested in.

Step 2: Identify the initial concentration or amount of the ion before the reaction starts. This information could be given in the problem or you may need to determine it experimentally.

Step 3: Determine the stoichiometric ratio between the ion you are interested in and the reactant or product it is associated with in the reaction. This can be found by examining the coefficients in the balanced chemical equation.

Step 4: Calculate the amount of the ion that reacts based on the stoichiometric ratio. Multiply the initial concentration or amount of the ion by the stoichiometric coefficient (ratio) associated with it in the balanced chemical equation.

Step 5: Subtract the amount of the ion that reacts from the initial amount to find the remaining amount of the ion.

Step 6: If necessary, convert the remaining amount of the ion to concentration by dividing it by the total volume of the solution.

Step 7: Finally, express the remaining concentration of the ion in the appropriate units (e.g., molarity, mol/L).

Note: It's important to have a balanced chemical equation and accurate initial concentration information to obtain an accurate concentration of the ion remaining after the reaction is complete.

To find the concentration of an ion remaining after a reaction is complete, you need to know the initial concentration of the ion, as well as information about the stoichiometry of the reaction. Here's a step-by-step guide to finding the remaining concentration of an ion:

1. Determine the balanced equation: Write out the balanced chemical equation for the reaction. Make sure the equation is balanced in terms of both atoms and charge.

2. Identify the stoichiometry: Examine the balanced equation to determine the ratio between the ion you're interested in and the reactants/products it is involved with. This information is crucial to calculate the remaining concentration.

3. Calculate the moles: Convert the initial concentration of the ion to moles using the formula:
Moles = Initial concentration (in mol/L) × Volume of solution (in L)

4. Apply stoichiometry: Use the stoichiometric coefficients from the balanced equation to determine the ratio between the ions involved in the reaction. This ratio will help you calculate the moles of the ion remaining after the reaction is complete.

5. Calculate remaining concentration: Convert the moles of the ion remaining to concentration using the formula:
Concentration = Moles remaining / Volume of solution (in L)

Remember to pay attention to units throughout the calculations to ensure accuracy.

By following these steps, you can find the concentration of an ion remaining after a reaction is complete.