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$K_{\mathrm{sp}}$ for copper(II) hydroxide, $\mathrm{Cu}(\mathrm{OH})_{2},$ has a value$2.2 \times 10^{-20}$ at $25^{\circ} \mathrm{C}$ . Calculate the solubility of cop$\operatorname{per}(\mathrm{II})$ hydroxide in $\mathrm{mol} / \mathrm{L}$ and $\mathrm{g} / \mathrm{L}$ at $25^{\circ} \mathrm{C}$
$K_{s p}=\left[C \sigma^{3+}\right]\left[O H^{-}\right]^{3}$$K_{s p}=\left[C u^{+}\right]^{2}\left[S^{2-}\right]$
Chemistry 102
Chapter 17
Equilibrium
Section 9
Solubility Equilibria
Chemical Equilibrium
University of Central Florida
Rice University
Brown University
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she's questions asking us to look at the reaction of copper too hydroxide dissolving in water. So this is solid and it's going to be in equilibrium with copper tube plus and 20 h minus. Is both of these air a quiz? And so we're told that we have a Casspi for this reaction which is equal to 2.2. I'm Centenary of 20th. And so what are we want to do is we want to make a nice table in order to understand what behavior this. So we have the initial the change in the equilibrium. And so remember, solids aren't considered in the mass action expression sorting or this house table. But our initial concentration of copper two losses hydroxide mice are chocks at mass hydroxide are both can be effectively zero. So the change stored in the at is going to get plus ax for copper two plus, but plus two acts for the hydroxy time because twice as much is gonna be added because the two co fishing there. So plus two x So we have X and two acts, and now I'm just scroll down a little bit. I'm gonna write with the mass action expression should be here in red. Remember, the mass action expression is going to be the products of all the You mean like the product of the concentration of see you two plus times a concentration of O. H. Minus squared. And the reason I get that squared over here is because of the two cola fish. And so oh, plugging when we should have Caspi is gonna be equal to X times two x whole thing squared. And so that equals four x cubed. And as I said before, that's going to equal, uh, 2.2 Time center, native 20. If that's the case be that's given to us, and from there it's kind of easy to solve. Rex, um, you just pulled into a calculator and we're gonna get that X equals a 1.76 times since the negative seventh. And this a concentration. And we know that because that's what it's representing here, the concentration to see you two plus. And so we're gonna have, um, units of Moeller. And so that actually defines the answer For the first question, it asks us, Where's the soluble iti in moles per leader and So since we're really losing acts like X is the amount of see you a wage to that can be really dissolved here. So malaria, remember, is most per leader. And so that's the Souljah bility that we're looking for Next progressed from the scalability and grams was having the most by this number by the molar mass of copper hydroxide so open. We read this 1.76 times. 10 tonight, seventh moles per leader. But we can multiply by 97 point 561 grams per mole and the most will cancel out. And we'll get her answer for Ah, what? The scalability is in grams per liter and that's gonna be 1.72 Time center native. Fifth grounds for later. That's our answer.
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