Title: Determination of the Solubility Product Constant (Ksp) for GaPO4---In aqueous solutions, the solubility product constant ($K_{sp}$) is an essential parameter in understanding the dissolution characteristics of sparingly soluble ionic compounds. In this context, consider the dissociation of gallium phosphate ($GaPO_4$) in water. The dissolution of $GaPO_4$ can be represented as:\[GaPO_4 (s) \rightleftharpoons Ga^{3+} (aq) + PO_4^{3-} (aq)\]Given this dissociation, the $K_{sp}$ expression for $GaPO_4$ is derived from the concentrations of its ions in a saturated solution.The question provides several possible expressions for the $K_{sp}$ of $GaPO_4$:1. Option A: $ K_{sp} = \frac{[Ga^{3+}][PO_4^{3-}]}{[GaPO_4]} $2. Option B: $ K_{sp} = \frac{[GaPO_4]}{[Ga^{3+}][PO_4^{3-}]} $3. Option C: $ K_{sp} = [Ga^{3+}][PO_4^{3-}] $4. Option D: $ K_{sp} = [Ga^{3+}]^3 [PO_4^{3-}]^3 $5. Option E: $ K_{sp} = [Ga^{3+}][P^{5+}][O^2-]^4 $Among these choices:- Option A incorrectly includes the undissociated $GaPO_4$ in the denominator.- Option B inappropriately places $GaPO_4$ in the numerator.- Option C correctly represents $K_{sp}$ for a 1:1 dissociation of $GaPO_4$ as it considers only the product of concentrations of the dissolved ions.- Option D suggests raising the concentrations to the power of 3, which is unsuitable for a simple 1:1 dissociation.- Option E introduces ions not involved in the dissociation of $GaPO_4$, making it incorrect.Thus, the correct expression for the solubility product constant $K_{sp}$ for the

Answered: Image /qna-images/answer/98178a56-5b09-41d6-b375-1cf74a4db8df.jpg

14. The Kp for the dissociation of solid GaPO, in water is given by [Ga* ][PO,3-] [GAPO4] A) [GAPO4] (Ga³* ][PO,¯] Ksp B) g Ksp =[Ga³* ][PO,³- Kp =[Ga³*]°[PO,³¬ D) Ksp ds, a =[Ga³* ][p$* ]o²-r*

14. The Kp for the dissociation of solid GaPO, in water is given by [Ga* ][PO,3-] [GAPO4] A) [GAPO4] (Ga³* ][PO,¯] Ksp B) g Ksp =[Ga³* ][PO,³- Kp =[Ga³]°[PO,³¬ D) Ksp ds, a =[Ga³ ][p$* ]o²-r*

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

Title: Determination of the Solubility Product Constant (Ksp) for GaPO4

---

In aqueous solutions, the solubility product constant ($K_{sp}$) is an essential parameter in understanding the dissolution characteristics of sparingly soluble ionic compounds. In this context, consider the dissociation of gallium phosphate ($GaPO_4$) in water. The dissolution of $GaPO_4$ can be represented as:

\[GaPO_4 (s) \rightleftharpoons Ga^{3+} (aq) + PO_4^{3-} (aq)\]

Given this dissociation, the $K_{sp}$ expression for $GaPO_4$ is derived from the concentrations of its ions in a saturated solution.

The question provides several possible expressions for the $K_{sp}$ of $GaPO_4$:

1. Option A: $ K_{sp} = \frac{[Ga^{3+}][PO_4^{3-}]}{[GaPO_4]} $
2. Option B: $ K_{sp} = \frac{[GaPO_4]}{[Ga^{3+}][PO_4^{3-}]} $
3. Option C: $ K_{sp} = [Ga^{3+}][PO_4^{3-}] $
4. Option D: $ K_{sp} = [Ga^{3+}]^3 [PO_4^{3-}]^3 $
5. Option E: $ K_{sp} = [Ga^{3+}][P^{5+}][O^2-]^4 $

Among these choices:
- Option A incorrectly includes the undissociated $GaPO_4$ in the denominator.
- Option B inappropriately places $GaPO_4$ in the numerator.
- Option C correctly represents $K_{sp}$ for a 1:1 dissociation of $GaPO_4$ as it considers only the product of concentrations of the dissolved ions.
- Option D suggests raising the concentrations to the power of 3, which is unsuitable for a simple 1:1 dissociation.
- Option E introduces ions not involved in the dissociation of $GaPO_4$, making it incorrect.

Thus, the correct expression for the solubility product constant $K_{sp}$ for the

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