Lead is a heavy metal poison found in old paint and in old plumbing. The solubility of lead carbonate in water is 3.87 x 10³ M. Write the mass action expression and calculate the equilibrium constant. Here the equilibrium constant is written as Kp which is the solubility product a. constant. b. To a solution of Pb2+ with a concentration of 3.87 x 108 M is added ammonium hydroxide with a concentration of [OH] of 1 x 108 M. Will a precipitate form which is Pb(OH)2? Ksp for Pb(OH)2 is 1.2 x 10-15. c. What will be the Pb2+ concentration in Part a if 0.1 M Na2CO3 is added. (assume no change in solution volume).

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### Problem 5: Solubility and Chemical Reactions of Lead Compounds

**Background:**

Lead is a heavy metal poison found in old paint and plumbing. The solubility of lead carbonate in water is \(3.87 \times 10^{-5}\,M\).

**Questions:**

**a. Mass Action Expression and Equilibrium Constant**

Write the mass action expression and calculate the equilibrium constant. Here, the equilibrium constant is written as \(K_{sp}\), which is the solubility product constant.

**b. Solution Reaction with Hydroxide**

To a solution of \(Pb^{2+}\) with a concentration of \(3.87 \times 10^{-8}\,M\), ammonium hydroxide is added with a concentration of \([OH^-]\) of \(1 \times 10^{-8}\,M\). Will a precipitate form which is \(Pb(OH)_2\)? The solubility product constant (\(K_{sp}\)) for \(Pb(OH)_2\) is \(1.2 \times 10^{-15}\).

**c. Effect of Sodium Carbonate Addition**

What will be the \(Pb^{2+}\) concentration in Part (a) if 0.1 M Na2CO3 is added? (Assume no change in solution volume.)

**Graph/Diagram Explanation:**

There are no graphs or diagrams included in this problem set.
Transcribed Image Text:### Problem 5: Solubility and Chemical Reactions of Lead Compounds **Background:** Lead is a heavy metal poison found in old paint and plumbing. The solubility of lead carbonate in water is \(3.87 \times 10^{-5}\,M\). **Questions:** **a. Mass Action Expression and Equilibrium Constant** Write the mass action expression and calculate the equilibrium constant. Here, the equilibrium constant is written as \(K_{sp}\), which is the solubility product constant. **b. Solution Reaction with Hydroxide** To a solution of \(Pb^{2+}\) with a concentration of \(3.87 \times 10^{-8}\,M\), ammonium hydroxide is added with a concentration of \([OH^-]\) of \(1 \times 10^{-8}\,M\). Will a precipitate form which is \(Pb(OH)_2\)? The solubility product constant (\(K_{sp}\)) for \(Pb(OH)_2\) is \(1.2 \times 10^{-15}\). **c. Effect of Sodium Carbonate Addition** What will be the \(Pb^{2+}\) concentration in Part (a) if 0.1 M Na2CO3 is added? (Assume no change in solution volume.) **Graph/Diagram Explanation:** There are no graphs or diagrams included in this problem set.
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