The K S P K_{sp} K S P Of Silver(I) Sulfide Is 2.6 × 10 − 49 2.6 \times 10^{-49} 2.6 × 1 0 − 49 . What Is The Solubility Of Silver(I) Sulfide In Water?

Mar 13, 2025 by ADMIN 154 views

The Solubility of Silver(I) Sulfide in Water

=====================================================

Introduction

Silver(I) sulfide is a chemical compound that is composed of silver and sulfur. It is a white solid that is highly insoluble in water. The solubility of a substance is a measure of how much of it can dissolve in a given amount of solvent, in this case, water. The solubility of silver(I) sulfide can be determined using its $K_{sp}$ value, which is a measure of the equilibrium between the solid and its ions in solution.

What is $K_{sp}$ ?

$K_{sp}$ , also known as the solubility product constant, is a measure of the equilibrium between a solid and its ions in solution. It is defined as the product of the concentrations of the ions in solution, raised to the power of their stoichiometric coefficients in the balanced equation for the dissolution of the solid. For silver(I) sulfide, the balanced equation is:

Ag2S (s) ⇌ 2Ag+ (aq) + S2- (aq)

The $K_{sp}$ expression for this reaction is:

Ksp = [Ag+]^2 [S2-]

The $K_{sp}$ Value of Silver(I) Sulfide

The $K_{sp}$ value of silver(I) sulfide is given as $2.6 \times 10^{-49}$ . This value indicates that the solubility of silver(I) sulfide in water is very low.

Calculating the Solubility of Silver(I) Sulfide

To calculate the solubility of silver(I) sulfide, we need to use the $K_{sp}$ expression and the concentrations of the ions in solution. Since the solubility of silver(I) sulfide is very low, we can assume that the concentrations of the ions in solution are equal to the solubility of the solid.

Let x be the solubility of silver(I) sulfide. Then, the concentrations of the ions in solution are also x. Substituting these values into the $K_{sp}$ expression, we get:

Ksp = [Ag+]^2 [S2-] = x^2 x = x^3

Since the $K_{sp}$ value is $2.6 \times 10^{-49}$ , we can set up the equation:

x^3 = 2.6 \times 10^{-49}

To solve for x, we can take the cube root of both sides of the equation:

x = ∛(2.6 \times 10^{-49}) = 1.6 \times 10^{-16}

Conclusion

The solubility of silver(I) sulfide in water is $1.6 \times 10^{-16}$ moles per liter. This value indicates that the solubility of silver(I) sulfide is very low, which is consistent with its highly insoluble nature.

References

"Solubility Product Constant" by Wikipedia
"Silver(I) Sulfide" by Wikipedia
"Chemical Equilibrium" by Chemistry LibreTexts

Substance	Ksp Value
Silver(I) sulfide	$2.6 \times 10^{-49}$
Calcium carbonate	$4.8 \times 10^{-9}$
Sodium chloride	$36$

Q: What is the solubility product constant (Ksp)?

A: The solubility product constant (Ksp) is a measure of the equilibrium between a solid and its ions in solution. It is defined as the product of the concentrations of the ions in solution, raised to the power of their stoichiometric coefficients in the balanced equation for the dissolution of the solid.

Q: What is the Ksp value of silver(I) sulfide?

A: The Ksp value of silver(I) sulfide is $2.6 \times 10^{-49}$ .

Q: How is the solubility of silver(I) sulfide calculated using the Ksp value?

A: To calculate the solubility of silver(I) sulfide, we can use the Ksp expression and the concentrations of the ions in solution. Since the solubility of silver(I) sulfide is very low, we can assume that the concentrations of the ions in solution are equal to the solubility of the solid.

Q: What is the formula for calculating the solubility of silver(I) sulfide?

A: The formula for calculating the solubility of silver(I) sulfide is:

x^3 = 2.6 \times 10^{-49}

Where x is the solubility of silver(I) sulfide.

Q: How do I solve for x in the equation x^3 = 2.6 \times 10^{-49}?

A: To solve for x, we can take the cube root of both sides of the equation:

x = ∛(2.6 \times 10^{-49}) = 1.6 \times 10^{-16}

Q: What is the solubility of silver(I) sulfide in water?

A: The solubility of silver(I) sulfide in water is $1.6 \times 10^{-16}$ moles per liter.

Q: Why is the solubility of silver(I) sulfide so low?

A: The solubility of silver(I) sulfide is low because of its highly insoluble nature. This means that very little of the solid dissolves in water.

Q: What are some common applications of the solubility product constant (Ksp)?

A: The solubility product constant (Ksp) has many applications in chemistry, including:

Calculating the solubility of a substance
Determining the equilibrium between a solid and its ions in solution
Understanding the behavior of a substance in different environments

Q: How do I use the Ksp value to calculate the solubility of a substance?

A: To use the Ksp value to calculate the solubility of a substance, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Write the Ksp expression for the reaction.
Substitute the Ksp value into the expression.
Solve for the concentration of the ions in solution.
Use the concentration of the ions in solution to calculate the solubility of the substance.

Q: What are some common mistakes to avoid when calculating the solubility of a substance using the Ksp value?

A: Some common mistakes to avoid when calculating the solubility of a substance using the Ksp value include:

Not writing the balanced equation for the dissolution of the substance
Not writing the Ksp expression for the reaction
Not substituting the Ksp value into the expression
Not solving for the concentration of the ions in solution
Not using the concentration of the ions in solution to calculate the solubility of the substance

Q: How do I determine the Ksp value of a substance?

A: To determine the Ksp value of a substance, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Measure the concentrations of the ions in solution.
Use the concentrations of the ions in solution to calculate the Ksp value.

Q: What are some common sources of error when determining the Ksp value of a substance?

A: Some common sources of error when determining the Ksp value of a substance include:

Not writing the balanced equation for the dissolution of the substance
Not measuring the concentrations of the ions in solution accurately
Not using the correct units for the concentrations of the ions in solution
Not calculating the Ksp value correctly

Q: How do I use the Ksp value to understand the behavior of a substance in different environments?

A: To use the Ksp value to understand the behavior of a substance in different environments, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Write the Ksp expression for the reaction.
Substitute the Ksp value into the expression.
Solve for the concentration of the ions in solution.
Use the concentration of the ions in solution to understand the behavior of the substance in different environments.

Q: What are some common applications of the Ksp value in real-world scenarios?

A: The Ksp value has many applications in real-world scenarios, including:

Calculating the solubility of a substance in a specific environment
Determining the equilibrium between a solid and its ions in solution in a specific environment
Understanding the behavior of a substance in different environments

Q: How do I use the Ksp value to calculate the solubility of a substance in a specific environment?

A: To use the Ksp value to calculate the solubility of a substance in a specific environment, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Write the Ksp expression for the reaction.
Substitute the Ksp value into the expression.
Solve for the concentration of the ions in solution.
Use the concentration of the ions in solution to calculate the solubility of the substance in the specific environment.

Q: What are some common sources of error when using the Ksp value to calculate the solubility of a substance in a specific environment?

A: Some common sources of error when using the Ksp value to calculate the solubility of a substance in a specific environment include:

Not writing the balanced equation for the dissolution of the substance
Not writing the Ksp expression for the reaction
Not substituting the Ksp value into the expression
Not solving for the concentration of the ions in solution
Not using the concentration of the ions in solution to calculate the solubility of the substance in the specific environment

Q: How do I use the Ksp value to understand the behavior of a substance in different environments?

A: To use the Ksp value to understand the behavior of a substance in different environments, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Write the Ksp expression for the reaction.
Substitute the Ksp value into the expression.
Solve for the concentration of the ions in solution.
Use the concentration of the ions in solution to understand the behavior of the substance in different environments.

Q: What are some common applications of the Ksp value in chemistry?

A: The Ksp value has many applications in chemistry, including:

Calculating the solubility of a substance
Determining the equilibrium between a solid and its ions in solution
Understanding the behavior of a substance in different environments

Q: How do I use the Ksp value to calculate the solubility of a substance?

A: To use the Ksp value to calculate the solubility of a substance, you can follow these steps:

Write the balanced equation for the dissolution of the substance.
Write the Ksp expression for the reaction.
Substitute the Ksp value into the expression.
Solve for the concentration of the ions in solution.
Use the concentration of the ions in solution to calculate the solubility of the substance.

Q: What are some common sources of error when using the Ksp value to calculate the solubility of a substance?

A: Some common sources of error when using the Ksp value to calculate the solubility of a substance include:

Not writing the balanced equation for the dissolution of the substance
Not writing the Ksp expression for the reaction
Not substituting the Ksp value into the expression
Not solving for the concentration of the ions in solution
Not using the concentration of the ions in solution to calculate the solubility of the substance

Introduction

What is KspK_{sp}Ksp​?

The KspK_{sp}Ksp​ Value of Silver(I) Sulfide

Calculating the Solubility of Silver(I) Sulfide

Conclusion

References

Further Reading

Solubility Product Constant (Ksp) Formula

Solubility Product Constant (Ksp) Example

Solubility Product Constant (Ksp) Table

Solubility Product Constant (Ksp) Graph

Solubility Product Constant (Ksp) Video

Solubility Product Constant (Ksp) Quiz

Solubility Product Constant (Ksp) Worksheet

Solubility Product Constant (Ksp) Practice Problems

Solubility Product Constant (Ksp) Online Calculator

Solubility Product Constant (Ksp) Online Simulator

Solubility Product Constant (Ksp) Online Tutorial

Solubility Product Constant (Ksp) Online Course

Solubility Product Constant (Ksp) Online Book

Solubility Product Constant (Ksp) Online Resource

Solubility Product Constant (Ksp) Online Community

Solubility Product Constant (Ksp) Online Forum

Solubility Product Constant (Ksp) Online Chat

Solubility Product Constant (Ksp) Online Support

Solubility Product Constant (Ksp) Online Help

Solubility Product Constant (Ksp) Online Tutorial Video

Solubility Product Constant (Ksp) Online Practice Problems

Solubility Product Constant (Ksp) Online Quiz

Solubility Product Constant (Ksp) Online Worksheet

Solubility Product Constant (Ksp) Online Simulator

Solubility Product Constant (Ksp) Online Calculator

Solubility Product Constant (Ksp) Online Resource

Solubility Product Constant (Ksp) Online Community

Q: What is the solubility product constant (Ksp)?

Q: What is the Ksp value of silver(I) sulfide?

Q: How is the solubility of silver(I) sulfide calculated using the Ksp value?

Q: What is the formula for calculating the solubility of silver(I) sulfide?

Q: How do I solve for x in the equation x^3 = 2.6 \times 10^{-49}?

Q: What is the solubility of silver(I) sulfide in water?

Q: Why is the solubility of silver(I) sulfide so low?

Q: What are some common applications of the solubility product constant (Ksp)?

Q: How do I use the Ksp value to calculate the solubility of a substance?

Q: What are some common mistakes to avoid when calculating the solubility of a substance using the Ksp value?

Q: How do I determine the Ksp value of a substance?

Q: What are some common sources of error when determining the Ksp value of a substance?

Q: How do I use the Ksp value to understand the behavior of a substance in different environments?

Q: What are some common applications of the Ksp value in real-world scenarios?

Q: How do I use the Ksp value to calculate the solubility of a substance in a specific environment?

Q: What are some common sources of error when using the Ksp value to calculate the solubility of a substance in a specific environment?

Q: How do I use the Ksp value to understand the behavior of a substance in different environments?

Q: What are some common applications of the Ksp value in chemistry?

Q: How do I use the Ksp value to calculate the solubility of a substance?

Q: What are some common sources of error when using the Ksp value to calculate the solubility of a substance?

What is $K_{sp}$ ?

The $K_{sp}$ Value of Silver(I) Sulfide