Solid sodium sulfate, NazSO4, is added slowly to a solution that is 1.0 x 104 in both Ba2+ and Pb²+ until [SO4²-] reaches 1.0 x 104 M. Would either BaSO4 (Kan = 1.1 x 10-10) or P6SO4 (Kan = 1.7 x 10-8) precipitate under these conditions? %3D

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter1: Chemical Foundations
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**Question:**

Solid sodium sulfate, \( \text{Na}_2\text{SO}_4 \), is added slowly to a solution that is \( 1.0 \times 10^{-4} \) M in both \( \text{Ba}^{2+} \) and \( \text{Pb}^{2+} \) until \([ \text{SO}_4^{2-} ]\) reaches \( 1.0 \times 10^{-4} \) M. Would either \( \text{BaSO}_4 \) (\( K_{sp} = 1.1 \times 10^{-10} \)) or \( \text{PbSO}_4 \) (\( K_{sp} = 1.7 \times 10^{-8} \)) precipitate under these conditions?

---

**Explanation:**

This problem requires you to determine if either barium sulfate (\( \text{BaSO}_4 \)) or lead(II) sulfate (\( \text{PbSO}_4 \)) will precipitate when the concentration of sulfate ions (\( \text{SO}_4^{2-} \)) reaches \( 1.0 \times 10^{-4} \) M in the given solution.

#### Key Information:
- Initial concentrations: \( [\text{Ba}^{2+}] = 1.0 \times 10^{-4} \) M, \( [\text{Pb}^{2+}] = 1.0 \times 10^{-4} \) M
- \( K_{sp} \) for \( \text{BaSO}_4 = 1.1 \times 10^{-10} \)
- \( K_{sp} \) for \( \text{PbSO}_4 = 1.7 \times 10^{-8} \)

#### Approach:
1. Calculate the ion product (Q) for both \( \text{BaSO}_4 \) and \( \text{PbSO}_4 \).
   - For \( \text{BaSO}_4 \): \( Q = [\text{Ba}^{2+}][\text{SO}_4^{2-}] \)
   - For \( \text{PbSO}_4 \): \( Q = [\text{Pb}^{2+}][\text{SO}_4^{2-}] \)

2. Compare the ion product
Transcribed Image Text:**Question:** Solid sodium sulfate, \( \text{Na}_2\text{SO}_4 \), is added slowly to a solution that is \( 1.0 \times 10^{-4} \) M in both \( \text{Ba}^{2+} \) and \( \text{Pb}^{2+} \) until \([ \text{SO}_4^{2-} ]\) reaches \( 1.0 \times 10^{-4} \) M. Would either \( \text{BaSO}_4 \) (\( K_{sp} = 1.1 \times 10^{-10} \)) or \( \text{PbSO}_4 \) (\( K_{sp} = 1.7 \times 10^{-8} \)) precipitate under these conditions? --- **Explanation:** This problem requires you to determine if either barium sulfate (\( \text{BaSO}_4 \)) or lead(II) sulfate (\( \text{PbSO}_4 \)) will precipitate when the concentration of sulfate ions (\( \text{SO}_4^{2-} \)) reaches \( 1.0 \times 10^{-4} \) M in the given solution. #### Key Information: - Initial concentrations: \( [\text{Ba}^{2+}] = 1.0 \times 10^{-4} \) M, \( [\text{Pb}^{2+}] = 1.0 \times 10^{-4} \) M - \( K_{sp} \) for \( \text{BaSO}_4 = 1.1 \times 10^{-10} \) - \( K_{sp} \) for \( \text{PbSO}_4 = 1.7 \times 10^{-8} \) #### Approach: 1. Calculate the ion product (Q) for both \( \text{BaSO}_4 \) and \( \text{PbSO}_4 \). - For \( \text{BaSO}_4 \): \( Q = [\text{Ba}^{2+}][\text{SO}_4^{2-}] \) - For \( \text{PbSO}_4 \): \( Q = [\text{Pb}^{2+}][\text{SO}_4^{2-}] \) 2. Compare the ion product
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