A volume of 500.0 mL of 0.170 M NaOH is added to 615 mL of 0.200 M weak acid (Ka = 8.41 × 10-5). What is the pH of the resulting buffer? НА(аq) + ОН (аq) H,O(1) + A¯(aq) pH
A volume of 500.0 mL of 0.170 M NaOH is added to 615 mL of 0.200 M weak acid (Ka = 8.41 × 10-5). What is the pH of the resulting buffer? НА(аq) + ОН (аq) H,O(1) + A¯(aq) pH
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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![### Buffer Solution Calculation
**Problem Statement:**
A volume of 500.0 mL of 0.170 M NaOH is added to 615 mL of 0.200 M weak acid (\( K_a = 8.41 \times 10^{-5} \)). What is the pH of the resulting buffer?
\[
\text{HA(aq) + OH}^-(\text{aq}) \longrightarrow \text{H}_2\text{O}(\text{l}) + \text{A}^-(\text{aq})
\]
**Steps to Solve:**
1. **Calculate the moles of NaOH and the weak acid (HA):**
- Moles of NaOH:
\[
\text{Moles of NaOH} = \text{Volume} \times \text{Concentration} = 0.500 \, \text{L} \times 0.170 \, \text{M} = 0.085 \, \text{moles}
\]
- Moles of HA:
\[
\text{Moles of HA} = \text{Volume} \times \text{Concentration} = 0.615 \, \text{L} \times 0.200 \, \text{M} = 0.123 \, \text{moles}
\]
2. **Identify the limiting reagent and the amount of weak acid (HA) reacted:**
- Since 0.085 moles of NaOH will react with 0.085 moles of HA, the limiting reagent here is NaOH.
- Number of moles of HA after reaction:
\[
\text{Moles of HA remaining} = 0.123 \, \text{moles} - 0.085 \, \text{moles} = 0.038 \, \text{moles}
\]
3. **Calculate the moles of \( \text{A}^- \) formed:**
- Moles of \( \text{A}^- \):
\[
\text{Moles of A}^- \text{formed} = \text{moles of NaOH used} = 0.085 \, \text{moles}
\]
4. **Determine the concentrations of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96b52401-77ae-42e3-bef0-cdd66c230602%2Ff70c37b5-72dc-4d18-835f-088f0dc6d8d2%2Fii8vns_processed.png&w=3840&q=75)
Transcribed Image Text:### Buffer Solution Calculation
**Problem Statement:**
A volume of 500.0 mL of 0.170 M NaOH is added to 615 mL of 0.200 M weak acid (\( K_a = 8.41 \times 10^{-5} \)). What is the pH of the resulting buffer?
\[
\text{HA(aq) + OH}^-(\text{aq}) \longrightarrow \text{H}_2\text{O}(\text{l}) + \text{A}^-(\text{aq})
\]
**Steps to Solve:**
1. **Calculate the moles of NaOH and the weak acid (HA):**
- Moles of NaOH:
\[
\text{Moles of NaOH} = \text{Volume} \times \text{Concentration} = 0.500 \, \text{L} \times 0.170 \, \text{M} = 0.085 \, \text{moles}
\]
- Moles of HA:
\[
\text{Moles of HA} = \text{Volume} \times \text{Concentration} = 0.615 \, \text{L} \times 0.200 \, \text{M} = 0.123 \, \text{moles}
\]
2. **Identify the limiting reagent and the amount of weak acid (HA) reacted:**
- Since 0.085 moles of NaOH will react with 0.085 moles of HA, the limiting reagent here is NaOH.
- Number of moles of HA after reaction:
\[
\text{Moles of HA remaining} = 0.123 \, \text{moles} - 0.085 \, \text{moles} = 0.038 \, \text{moles}
\]
3. **Calculate the moles of \( \text{A}^- \) formed:**
- Moles of \( \text{A}^- \):
\[
\text{Moles of A}^- \text{formed} = \text{moles of NaOH used} = 0.085 \, \text{moles}
\]
4. **Determine the concentrations of
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