For this problem will be considering some cereal delusions made from a stock solution. And you'll know what I mean when we get to it. So, first of all, we're given the following information. Um, we have a stock solution that was prepared by dissolving 1.584 grams appear Mangga knees metal. I'll give that a solid in nitric gas it. And then we diluted this to a final volume of one 0.0 leaders. So 1000 mill leaders or one leader, 1.0 leaders. Okay. And then we've got three delusions that are made following this and then delusions Air made. So, for instance, we make a and then make a from the stock that we may be from a and we make see from B. So that's how we're going to do this. So the first thing we're gonna do is figure out, um, what the concentration of our stock is. They were going to say how to prepare a than how to prepare, be and how to prepare. See? Not to bet. So our first order of business will be to figure out our polarity polarity of the stock, which we will do on our next page. I'm gonna check. Make sure my cameras on it. It is. So the stock. Now, um, we're gonna have to recognize a couple of things. 1.584 grands grams of magnesite. Minga knees. Um, if I figure out how many moles of manganese this is, I know that moles of Mayangon ease will be equal to the number of moles of manganese nitrate. And we can tell from the chemical formula that if I know how many miles of manganese I have, I know how many moles of manganese nitrate I have. So for our first order of business, let's figure out bowls of manatees and the molar mass of manganese is 54 0.94 grams per mole. I just looked it up and I get to four Sig fig 0.28 83 malls. There's my first thing that I have, And then if you recall, we dissolved this in there in the nitric acid and then we diluted it toe one leader. So my mill aren t is gonna be really simple. Zero point 02883 in 1.0 leaders equals 0.2883 Moller. That's the Moeller polarity of the stock solution. Okay, easy, Easy. Um, next What do I need to do next? Next? We're going to do solution A and let's go to purple for solution A and were given the following information about solution. A solution? A is I gotta find where I am. Here, There it is. We take 50 mills, 50.0 for six pigs of the stock. And we know the polarity of the stock. And we dilute this to 1000 mill leaders. So we're going to use, um, polarity and we'll go the diluted, diluted and polarity of the stock Times volume of the stock and we're gonna be solving for similarity of diluted. So the polarity of the diluted equals Hillary. The Stock Times The volume of the stock divided by the volume of the deluded Let's substitute our values Bloody of our stock is 0.2883 Moeller Volume of the stock waas 10.0 Mill leaders Nope, That was 50. My bad. Let me raise that 50 milliliters. Excuse me for doing that. And 1000 mill leaders do your math on this one, and that equals 0.0 1442 Moller for solution A. You may have a teacher who who's particular about scientific notation and when to use it. Of course, that will be. There's the solution. There's the, um, concentration explain expressed in scientific notation. Now we have two more to dio. So, um for solution be and we'll go ahead and pick this for B. We're told that we have 10 milliliters of a this time we're taking a and we're diluting it to 250 mill leaders. So again, we're going to use the same concentration of the same formula. And this time, um, I'm going to set it up how I usually set it up because I I'm pretty good at rearranging in my head, so I just sort of don't worry about doing that. So we're going to take the polarity of our stock, which was 0.1 for four. To Moller times the volume of our stock equals X times to 50.0 milliliters and just plug your values in. So and I got 5.7 68 times 10 to the minus fifth Moller for solution be their solution be and last but not least solution. See, we're told that we are taking 10 milliliters of be and we're gonna do that. Dilute that to 500 milliliters. So same set up. We're just gonna have Ah, I'm gonna use the same equations I used in the step above. But I'm going to start with my mil arat e of b times How maney mill leaders or be my volume would be It's gonna equal acts times my volume of my delusion get all done. So for this and I got 1.154 times 10 to the minus six polarity for the concentration of solution, see problem solved.