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What volume of a $1.00-M \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}$ solution can be diluted to prepare 1.00 $\mathrm{L}$ of a solution with a concentration of 0.250 $\mathrm{M}$ ?

0.250 $\mathrm{L}$

Chemistry 102

Chemistry 101

Chapter 3

Composition of Substances and Solutions

Solutions

Composition

Carleton College

Drexel University

Brown University

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So this question asks what volume of a one more iron three nitrate solution can be diluted to prepare one leader of a solution with a concentration of 0.250 mullet. So we're starting out with one Mueller iron three nitrate. We want to finish with 0.25 Moller, and we will only want one leader of that 0.25 Miller solution to do this, we use the equation. C one be one equals C to be, too. To assign the variables. We have some information in the question. So first, let's look at the numbers they gave us. They said that we started with one Moeller of iron three nitrate solution. So the starting concentration is also known as C one, and I'm just gonna move that a little bit closer. So C one equals 1.0 Moeller. Next they tell us that we want to prepare one leader. That is vey too, because they want us to prepare it. So that's the secondary volume. So we have V two equals 1.0 leader and remember that the Sig figs So the two zeros after the decimal points are important because it tells us exactly the concentration and volume that we need. Next we see that the final concentration is 0.250 Moeller. So that means that C two so two means the final concentration. Right? So that will be 0.25 zero Moeller. Now we plug those into the equation. But first we want to know what we're looking for. We know that the one thing missing out of what we have and what we need in the equation is V one. So we're looking for the one. Another way to confirm this is that the question asks, What volumes? We know that the volume is what we're looking for in this case. I'll highlight it right there. So now what we do is plug in what we have to the equation. So C one Oh, see, one b one equals C to be too So 1.0, Moeller Time's the one which we don't know equal See too, which is 0.250 Moeller times V two, which is 1.0 leaders. Now we want to solve for V one, So that means we have to divide both sides of the equation by one Moeller 1.0 Mueller. So this is just the same as dividing the equation by one. But what's important is the canceling out of the units. So here one Moeller divided by one more nothing. Here we're just dividing it by one, right, so just leaves it to be the same. But we're canceling out the moles. So we end with the unit of leaders, and that's what the unit of the one will be. So we basically have a 0.25 times, one divided by one. That means that our final answer is that the one equals 0.250 It's important we have all 366 because we know that's how exact this measurement will be. The unit is leaders, and that is the solution to this question. Thank you. And have a great day. Good luck with the rest of your problem. Set

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