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Calcium sulfate, CaSO $_{4}$ , is only soluble in water to the extent of approximately 2.05 $\mathrm{g} / \mathrm{L}$ at $25^{\circ}$ C. Calculate $K_{\mathrm{sp}}$ for calcium sulfate at $25^{\circ} \mathrm{C}$ .

$2.25 \times 10^{-4}$

Chemistry 102

Chapter 17

Equilibrium

Section 9

Solubility Equilibria

Chemical Equilibrium

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This is a traditional chaos, people. But this time I have to work backwards and forwards in a way. So we're going to write out what we have. We have calcium self, It c s so far being which is a solid. Let me be clear about that dissolving to become calcium two plus in a situation. And that's a four to minus. Also a quiz. And so writing on ice table like we usually do for these Caspi problems, these equilibrium problems, we ignore the solid. We'll have nothing to start with, plus X and plus X over here and Saudi clever. And we have a certain amount acts, which is the same for the calcium two plus in the soffit to minus. And so, if we write out the mass action expression Casspi that's gonna be equals the concentration of calcium two plus times a constellation of sulphate, and so that equals X squared, plugging in accidents. And so rest defined ks piece. So if we could figure out what X is that be fantastic and we actually can just not directly. It's given to us in the form that the amount of counts himself if they don't dissolve is equal to 2.5 grams per leader. And so what we really want to find is we want to find out how many moles that is, because that's also gonna be equal to this value of X amount of moles of calcium. That's or sulphate that is dissolving. So how are we gonna go from 2.5 grams per leader of calcium sulfate? Two moles well were divided by the molecular weight, which is gonna be 1 36 Ah, 0.14 It's divide that one over grams per mole, and so know that the Graham's gonna cancel up. And when you do this, you're going to get an answer, which is equal to 0.15 most per leader. That's are smaller scalability, and that's equal to X. And so you said that even toe accidentally remember that a. K S P is just to go to expert. And so this problem becomes much simpler. Suddenly, ksb just square that number and we're gonna get 2.25 on me. I think it should be 2.27 Yep, that's correct. 2.27 times 10 to the negative. Fourth. There's no units because case peers you know its value in. So this is our final answer

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