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 The solubility of silver sulfate, Ag2SO4, is 0.025 M at 25oC

Jules Bruno
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So let's look at the next example. And because we're gonna need some room guys for this, I'm gonna remove myself from the image so we have more room to work with. All right. So for this one, it says the Moller sigh ability or its liability actually off silver sulfate is 0.25 Moeller at degrees Celsius. Calculate its saw liability product constant. All right, so they're telling us this compound has a K S P value. Remember we said earlier, if it has a K S P value associated with it, we assume that it is a solid because Onley solids have k S P values. So we're gonna say here a G two s 04 solid, and we have to show how it breaks up into ions. So we say that the medal will break off by itself. Remember, eggy is a transition metal, but a G is always plus one, and it's breaking up in pure water, and we just assume it's breaking up in pure water. If it wasn't, they would tell us. And that's why we have a quiz here. But here there are two eggs and over on the right side. There's only one. So we're gonna put it to here plus eso four. Where did this to come from? Over here In reacting side. It came from the S 04 s 04 to minus is our sulfate ion. So their goals are equation showing how the K SP is related to this solid, how it breaks up into ions. And guess what? Anytime we're dealing with K sp, we're also dealing with a nice chart. I remember in a nice chart, what two phases do we ignore? We ignore solids and we ignore liquids. So any time we're dealing with K SP, we're always going to ignore our reacted because I reacting will always be a solid. Now let's fill this out. I don't tell you anything initially about the ion, so they're both zero and their products. So we're making them. This has a two in front of it. So this is plus two X. This has a one in front of it. So it's just plus X plus two x plus X. Now what we're gonna do here is we're gonna say K SP is just like all the other case in equals products overreacting. It's but remember are reacting. Section got canceled out because it's a solid. So when it comes to K S P, it will Onley equal products because the reacting will always be a solid so equals a g positive. Remember, the coefficient makes it squared Times Essel four to minus plug in what we have at equilibrium for them. So plug this in here, plug this in here. So we're gonna have this is two x squared times X Now what is two X squared means Well, that means that the two will be squared and in the X will be squared. So two squared is what it's four and X squared is just X squared. So we're gonna have four x squared times x and there's a one here we don't see. I remember when we're multiplying things together, their powers will add up. So there's two will add up with this one. So that will give us four x cubed. Okay, so we're gonna work over here, gonna say K s P equals four x cubed. We're looking for K SP. So the last thing we need to realize here is if they tell you the sala bility of something you have to realize Sigh ability or Mueller. Solid ability is X So what they just told us here is what X equals. So just plug it in for X. And when we do that, what you have to do first is you're going Thio Cube 0.25 So do 0.25 to the three. Get that answer. Once you have that answer, then you multiply times four. So remember first cubit, then multiplied by four. Don't multiply by four, then cubit because if the order, you do it and we'll give you a correct answer or wrong answer. So order of operations Cuba first, then multiplied by four. When we do that, we're gonna get 6.3 times 10 to the negative five. So K s P is a little bit different from what we're used to. But some of the steps are similar toe what we've seen in the past, So just remember the fundamentals when it comes to K S P. We're dealing with a solid solid are ignored slow in a k SP ice chart. We always ignore the react inside. So only really focused on the product side. Since we're talking about K sp of, ah compound, we assume that compound is a solid and we showed Hy breaks up into ions. They're not telling us what type of solvent it's breaking up into, so we assume it's pure water. This is important. So since it's breaking up into pure water, we have zero amounts for both of our initial products. Set up everything we find out that chaos P equals four X Cubed Saudi ability always equals X. So take that X value and plug it in. When we find out what r. K s P s. So just remember the fundamentals, you'll be able to do questions like this in a breeze.