Question Video: Identifying the Equation for the Solubility Product of Yttrium Carbonate | Nagwa Question Video: Identifying the Equation for the Solubility Product of Yttrium Carbonate | Nagwa

Question Video: Identifying the Equation for the Solubility Product of Yttrium Carbonate Chemistry • Third Year of Secondary School

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What is the equation for the solubility product, ๐พ sp, of yttrium carbonate (Yโ‚‚(COโ‚ƒ)โ‚ƒ)?

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Video Transcript

What is the equation for the solubility product, ๐พ sp, of yttrium carbonate, Y2(CO3)3? (A) ๐พ sp equals the concentration of Y squared times the concentration of CO3 cubed. (B) ๐พ sp equals the concentration of Y3+ times the concentration of CO32โˆ’. (C) ๐พ sp equals the concentration of Y3+ squared times the concentration of CO32โˆ’ cubed. (D) ๐พ sp equals the concentration of Y3+ cubed times the concentration of CO32โˆ’ squared. Or (E) ๐พ sp equals the concentration of Y3+ cubed divided by the concentration of CO32โˆ’ squared.

In this question, we want to identify the correct equation for the given compoundโ€™s solubility product, which is the product of the concentrations of the ions in a saturated solution raised to the power of their respective stoichiometric coefficients. In order to write this equation, we need to determine the chemical formulas and the stoichiometric coefficients of these ions when the compound dissolves.

The solid compound in question is yttrium carbonate, which has the chemical formula Y2(CO3)3. In water, it will dissolve until it reaches an equilibrium with its constituent ions in solution. Its chemical formula indicates that for each unit of yttrium carbonate, there are three carbonate ions, which have a charge of two minus. There are also two yttrium ions present. For the compound to be neutral overall, we know the yttrium ions must have a charge of three plus. We can write the balanced equilibrium reaction as shown.

Now, we can write the ๐พ sp using this reaction equation. The ๐พ sp will be equal to the concentration of yttrium three plus ions times the concentration of the carbonate ions. We use brackets to denote concentration. We must remember to raise the ion concentrations to the power of their respective stoichiometric coefficients. The ๐พ sp equation we have written matches answer choice (C).

Therefore, the equation for the solubility product, ๐พ sp, of yttrium carbonate is answer choice (C). ๐พ sp equals the concentration of Y3+ ions squared times the concentration of CO32โˆ’ ions cubed.

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