Chem: Solubility Product Constant

In summary, the solubility product constant (Ksp) is an equilibrium constant that measures the maximum amount of a solute that can dissolve in a solvent at a given temperature. It is determined experimentally by measuring the concentration of ions in a saturated solution, and is affected by temperature, pressure, and the presence of other ions. Ksp is used in various applications, such as pharmaceutical production and water purification, and is directly related to solubility. However, the Ksp value remains constant at a given temperature regardless of the amount of solute present in the solution.
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Homework Statement



What is the solubility product for copper(I) sulfide, Cu2S, given that the solubility of Cu2S is 8.5 × 10-17 M?

Homework Equations



[tex]Cu_{2}S \leftrightarrow 2Cu^{+} + S^{2-}[/tex]

The Attempt at a Solution



Set up the equilibrium constant expression:
[tex]K_{sp} = [Cu^{+}]^{2}[S^{2-}][/tex]

Replaced values:
[tex]K_{sp} = (2*8.5 × 10^{-17})^{2}(8.5 × 10^{-17})[/tex]
[tex]K_{sp} = 2.5 * 10^{-48}[/tex]

A double-check on this would be wonderful please.
 
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Related to Chem: Solubility Product Constant

1. What is solubility product constant?

Solubility product constant, also known as Ksp, is a measure of the maximum amount of a solute that can dissolve in a solvent at a given temperature. It is a type of equilibrium constant that describes the equilibrium between a solid and its dissolved ions in a saturated solution.

2. How is solubility product constant determined?

Solubility product constant is determined experimentally by measuring the concentration of the ions in a saturated solution and using these values to calculate the Ksp value. It can also be calculated using thermodynamic data and the Gibbs free energy equation.

3. What factors affect the solubility product constant?

The solubility product constant is affected by temperature, pressure, and the presence of other ions in the solution. As temperature increases, the solubility of most substances also increases, resulting in a higher Ksp value. Changes in pressure do not affect the Ksp value, but can affect the solubility of gases. The presence of other ions can decrease the solubility of a substance and therefore decrease the Ksp value.

4. How is solubility product constant used in everyday life?

Solubility product constant is used in a variety of applications, including in the production of pharmaceuticals, the purification of water, and the manufacturing of consumer products. It is also used in analytical chemistry to determine the concentration of a substance in a solution.

5. What is the relationship between solubility and the solubility product constant?

Solubility and solubility product constant are directly related. As the solubility of a substance increases, the Ksp value also increases. This means that a more soluble substance will have a higher Ksp value than a less soluble substance. However, the Ksp value is constant at a given temperature, regardless of the amount of solute present in the solution.

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