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Write the balanced chemical equation describing the dissolving of each of the following sparingly solublesalts in water. Write the expression for $K_{\text { sp }}$ for each process.$\begin{array}{ll}{\text { a. } \operatorname{Bi}_{2} S_{3}(s)} & {\text { c. } \operatorname{Co}(\mathrm{OH})_{3}(s)} \\ {\text { b. } \mathrm{Ca}(\mathrm{OH})_{2}(s)} & {\text { d. } \mathrm{Cu}_{2} \mathrm{S}(s)}\end{array}$
a. $K_{s p}=\left[B i^{3+}\right]^{2}\left[S^{2-}\right]^{3}$b. $K_{s p}=\left[C a^{2+}\right]\left[O H^{-}\right]^{2}$c. $K_{s p}=\left[C \sigma^{3+}\right]\left[O H^{-}\right]^{3}$d. $K_{s p}=\left[C u^{+}\right]^{2}\left[S^{2-}\right]$
Chemistry 102
Chapter 17
Equilibrium
Section 9
Solubility Equilibria
Chemical Equilibrium
Carleton College
University of Central Florida
University of Kentucky
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so this question were given various solids and were asked to write the equilibrium. Um, that describes their, uh, dissolving in water and figure out Caspian. So our 1st 1 is business, Uh, sulphide. So be I to asked. Three, which is in solid form and will be in equilibrium with business three plus and sulphur to minus. Now, don't forget the coefficients. We have three software that you can see from here and to business, and so that's going to make sure that the eye of the charges cancel out. And so KSB is equal to the concentration of the products over the concentration reactions. But we have a solid here on. Let me be clear. Here we have a quist ions. That's how I was always our unless that ridiculously high temperature eso solids are not considered solid liquid, they're not considered the mass action expression. So well, we're gonna have us the concentration of business three plus squared. You remember coefficients will become exponential, and then we have solved for two minus cube, and so that's gonna be our 1st 1st expression. Next one is calcium hydroxide. I'll do that a different color. We have calcium times with 20 h groups. And so that's going to be solid again after the storm and ignore the states because it's always the same. We have the well. Both ions are Equus, the initial solid solid. And then we have O H minus. But we have two of them. Don't forget. Or else you're gonna mess up your KSB by forgetting this exponential appear. And so now that's our equation. KSB then is going to be equal to the concentration of see a two plus times a constellation of hydroxide just taking the product of all the product products, multiplying all the contractors of the products and ignoring this solid. But remember, there's a to further coefficient, so this must be square. Excellent, that sarcastic. Now we have cobalt. I drop side CEO Oh, age three, Big nor the States. For now, until we have Cobalt three. Plus, that's a curious, and we have three hydroxide. Know that the charge Cancel out three plus here, plus three one minus is there so no cautious. That's ugly. Um And so now we read our Casspi, which is going to be the product of the concentration of the cobalt ion times a constellation of the hydroxide ion to the third power. Don't forget that. Three gonna be really sad if you dio. And now we have copper sulphide. See you to us, which is again salir when it dissolves is going to give us copper two plus heart of the knowns. Give us copper Plus and two of them and Saul for two miles. So I'm gonna take a there to explain the one of the ways you can avoid this sort of mistakes. First off, it's useful just to know what common oxidation states we have. Sulphur is basically always two minds. And so if we have two minus here, we know that we have to have two plus in our to neutral tries to stars. We have a total of two plus, but we have to ions here. And so each of these we want Plus, since our ksb those going through the product a C U plus to power of two, because the coefficient there times a concentration of us to minus the sulfide down. That's our answer.
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