Calculate the pH and the equilibrium concentrations of H₂PO4, HPO42- and PO4³- in a 0.0960 M aqueous phosphoric acid solution. For H3PO4, Ka1 = 7.5x10-3, Ka2 = 6.2x10-8, and Ka3 = 3.6x10-13 pH = [H₂PO4] = [HPO4²-] = [PO4³-] = 3 M M

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Chapter1: Chemical Foundations
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**Problem Statement:**

Calculate the pH and the equilibrium concentrations of \( \text{H}_2\text{PO}_4^- \), \( \text{HPO}_4^{2-} \), and \( \text{PO}_4^{3-} \) in a 0.0960 M aqueous phosphoric acid solution.

**Given Data:**

For \( \text{H}_3\text{PO}_4 \):

- \( K_{a1} = 7.5 \times 10^{-3} \)
- \( K_{a2} = 6.2 \times 10^{-8} \)
- \( K_{a3} = 3.6 \times 10^{-13} \)

**Required Calculations:**

- **pH =** [Calculation required]
  
- **Equilibrium Concentrations:**
  - \( [\text{H}_2\text{PO}_4^-] = \) [Calculation required] M
  - \( [\text{HPO}_4^{2-}] = \) [Calculation required] M
  - \( [\text{PO}_4^{3-}] = \) [Calculation required] M

**Instructions for Solving:**

To determine the pH and equilibrium concentrations, consider the sequential ionization of phosphoric acid and use the provided \( K_a \) values for each ionization step. Start by calculating the concentration using the first ionization step and adjust for subsequent equilibria using \( K_{a2} \) and \( K_{a3} \).
Transcribed Image Text:**Problem Statement:** Calculate the pH and the equilibrium concentrations of \( \text{H}_2\text{PO}_4^- \), \( \text{HPO}_4^{2-} \), and \( \text{PO}_4^{3-} \) in a 0.0960 M aqueous phosphoric acid solution. **Given Data:** For \( \text{H}_3\text{PO}_4 \): - \( K_{a1} = 7.5 \times 10^{-3} \) - \( K_{a2} = 6.2 \times 10^{-8} \) - \( K_{a3} = 3.6 \times 10^{-13} \) **Required Calculations:** - **pH =** [Calculation required] - **Equilibrium Concentrations:** - \( [\text{H}_2\text{PO}_4^-] = \) [Calculation required] M - \( [\text{HPO}_4^{2-}] = \) [Calculation required] M - \( [\text{PO}_4^{3-}] = \) [Calculation required] M **Instructions for Solving:** To determine the pH and equilibrium concentrations, consider the sequential ionization of phosphoric acid and use the provided \( K_a \) values for each ionization step. Start by calculating the concentration using the first ionization step and adjust for subsequent equilibria using \( K_{a2} \) and \( K_{a3} \).
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