What is the pH of a buffered system made by dissolving 17.42 g of KH2PO4 (MM 136.1 g/mol) and 20.41 g of K>HPOA (MM 174.2 g/mol) in water to give a volume of 200.0 mL? The Ka2 for dihydrogen phosphate is 6.2 x 10 8 and the equilibrium reaction of interest is H2PO4 (aq) + H2O) = H30*(aq) + HPO4 (aq). Enter your answer in decimal format with two decimal places (value + 0.09).
What is the pH of a buffered system made by dissolving 17.42 g of KH2PO4 (MM 136.1 g/mol) and 20.41 g of K>HPOA (MM 174.2 g/mol) in water to give a volume of 200.0 mL? The Ka2 for dihydrogen phosphate is 6.2 x 10 8 and the equilibrium reaction of interest is H2PO4 (aq) + H2O) = H30*(aq) + HPO4 (aq). Enter your answer in decimal format with two decimal places (value + 0.09).
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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![**Question:**
What is the pH of a buffered system made by dissolving 17.42 g of KH₂PO₄ (MM 136.1 g/mol) and 20.41 g of K₂HPO₄ (MM 174.2 g/mol) in water to give a volume of 200.0 mL? The \( K_{a2} \) for dihydrogen phosphate is \( 6.2 \times 10^{-8} \) and the equilibrium reaction of interest is:
\[ \text{H}_2\text{PO}_4^-(aq) + \text{H}_2\text{O}(l) \rightleftharpoons \text{H}_3\text{O}^+(aq) + \text{HPO}_4^{2-}(aq) \].
Enter your answer in decimal format with two decimal places (value ± 0.09).
**Answer Box:** [ ]
---
### Explanation:
This question involves calculating the pH of a buffered solution using the concentrations of the buffering agents and the equilibrium constant (\( K_{a2} \)).
**Steps to Solve:**
1. **Calculate moles of each compound:**
- Moles of KH₂PO₄ = 17.42 g / 136.1 g/mol
- Moles of K₂HPO₄ = 20.41 g / 174.2 g/mol
2. **Determine concentrations:**
- Divide moles by the volume of the solution (0.200 L) to find molarity of each.
3. **Use the Henderson-Hasselbalch equation to find pH:**
- \[ \text{pH} = \text{pK}_a + \log \left( \frac{[\text{HPO}_4^{2-}]}{[\text{H}_2\text{PO}_4^-]} \right) \]
- \(\text{pK}_a = -\log(K_{a2})\)
**Important Considerations:**
- Ensure correct significant figures in measurements.
- Henderson-Hasselbalch equation applies as it is a buffer system.
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Transcribed Image Text:**Question:**
What is the pH of a buffered system made by dissolving 17.42 g of KH₂PO₄ (MM 136.1 g/mol) and 20.41 g of K₂HPO₄ (MM 174.2 g/mol) in water to give a volume of 200.0 mL? The \( K_{a2} \) for dihydrogen phosphate is \( 6.2 \times 10^{-8} \) and the equilibrium reaction of interest is:
\[ \text{H}_2\text{PO}_4^-(aq) + \text{H}_2\text{O}(l) \rightleftharpoons \text{H}_3\text{O}^+(aq) + \text{HPO}_4^{2-}(aq) \].
Enter your answer in decimal format with two decimal places (value ± 0.09).
**Answer Box:** [ ]
---
### Explanation:
This question involves calculating the pH of a buffered solution using the concentrations of the buffering agents and the equilibrium constant (\( K_{a2} \)).
**Steps to Solve:**
1. **Calculate moles of each compound:**
- Moles of KH₂PO₄ = 17.42 g / 136.1 g/mol
- Moles of K₂HPO₄ = 20.41 g / 174.2 g/mol
2. **Determine concentrations:**
- Divide moles by the volume of the solution (0.200 L) to find molarity of each.
3. **Use the Henderson-Hasselbalch equation to find pH:**
- \[ \text{pH} = \text{pK}_a + \log \left( \frac{[\text{HPO}_4^{2-}]}{[\text{H}_2\text{PO}_4^-]} \right) \]
- \(\text{pK}_a = -\log(K_{a2})\)
**Important Considerations:**
- Ensure correct significant figures in measurements.
- Henderson-Hasselbalch equation applies as it is a buffer system.
No graphs or diagrams are present in this image.
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