Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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**Question:**

Which of the following corresponds to the Ksp expression of PbCl2?

**Options:**

A. 
\[ \dfrac{[Pb^{2+}]}{[Pb^{2+}][Cl^-]^2} \]

B.
\[ \dfrac{1}{[Pb^{2+}][Cl^-]^2} \]

C.
\[ \dfrac{[2Pb^{2+}][Cl^-]^2}{[PbCl_2]} \]

D.
\[ \dfrac{[Pb^{2+}][Cl^-]^2}{[PbCl_2]} \]

E.
\[ [Pb^{2+}][Cl^-]^2 \]

**Explanation:**

- These options represent different possible expressions for the solubility product constant (Ksp) of Lead(II) chloride, PbCl2.
  
- The correct Ksp expression for a sparingly soluble salt like PbCl2, which dissociates in water to form Pb²⁺ and Cl⁻ ions, is given by the multiplication of the product of the molar concentrations of the dissociated ions, each raised to the power of their stoichiometric coefficients in the balanced chemical equation.

The balanced chemical equation for the dissolution of PbCl2 in water is:
\[ PbCl_2 (s) \leftrightharpoons Pb^{2+} (aq) + 2Cl^{-} (aq) \]

Therefore, the expression for the solubility product (Ksp) is:
\[ K_{sp} = [Pb^{2+}][Cl^-]^2 \]

Hence, the correct answer is:
E.
\[ [Pb^{2+}][Cl^-]^2 \]
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Transcribed Image Text:**Question:** Which of the following corresponds to the Ksp expression of PbCl2? **Options:** A. \[ \dfrac{[Pb^{2+}]}{[Pb^{2+}][Cl^-]^2} \] B. \[ \dfrac{1}{[Pb^{2+}][Cl^-]^2} \] C. \[ \dfrac{[2Pb^{2+}][Cl^-]^2}{[PbCl_2]} \] D. \[ \dfrac{[Pb^{2+}][Cl^-]^2}{[PbCl_2]} \] E. \[ [Pb^{2+}][Cl^-]^2 \] **Explanation:** - These options represent different possible expressions for the solubility product constant (Ksp) of Lead(II) chloride, PbCl2. - The correct Ksp expression for a sparingly soluble salt like PbCl2, which dissociates in water to form Pb²⁺ and Cl⁻ ions, is given by the multiplication of the product of the molar concentrations of the dissociated ions, each raised to the power of their stoichiometric coefficients in the balanced chemical equation. The balanced chemical equation for the dissolution of PbCl2 in water is: \[ PbCl_2 (s) \leftrightharpoons Pb^{2+} (aq) + 2Cl^{-} (aq) \] Therefore, the expression for the solubility product (Ksp) is: \[ K_{sp} = [Pb^{2+}][Cl^-]^2 \] Hence, the correct answer is: E. \[ [Pb^{2+}][Cl^-]^2 \]
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