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
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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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![Title: Determination of the Solubility Product Constant (Ksp) for GaPO4
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad75d3c3-f925-415c-aa85-2c90219f0688%2F98178a56-5b09-41d6-b375-1cf74a4db8df%2Fcabia1c_processed.png&w=3840&q=75)
Transcribed Image Text:Title: Determination of the Solubility Product Constant (Ksp) for GaPO4
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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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