An analytical chemist is titrating 238.1 mL of a 0.5500M solution of propionic acid (HC₂H₂CO₂) with a 0.8000M solution of KOH. The p K of propionic acid is 4.89. Calculate the pH of the acid solution after the chemist has added 119.8 mL of the KOH solution to it. Note for advanced students: you may assume the final volume equals the initial volume of the solution plus the volume of KOH solution added. Round your answer to 2 decimal places. pH = X

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### Titration Problem - Calculating pH

An analytical chemist is titrating 238.1 mL of a 0.5500 M solution of propionic acid (\(HC_2H_5CO_2\)) with a 0.8000 M solution of KOH. The \(pK_a\) of propionic acid is 4.89. Calculate the pH of the acid solution after the chemist has added 119.8 mL of the KOH solution to it.

**Note for advanced students:** You may assume the final volume equals the initial volume of the solution plus the volume of KOH solution added.

**Instructions:** Round your answer to 2 decimal places and enter it in the provided box.

**pH Calculation Box:**
\[ \text{pH} = \boxed{} \]

### Explanation:
In this problem, we are dealing with a titration of a weak acid (propionic acid) with a strong base (KOH). The objective is to calculate the pH after the addition of a specific volume of KOH.

### Detailed Solution Approach:
1. **Determine the moles of propionic acid and KOH:**
   - Moles of propionic acid (\(HC_2H_5CO_2\)): \( \text{Molarity} \times \text{Volume} = 0.5500 \, M \times 0.2381 \, L = 0.130955 \, \text{moles} \)
   - Moles of KOH: \( \text{Molarity} \times \text{Volume} = 0.8000 \, M \times 0.1198 \, L = 0.09584 \, \text{moles} \)

2. **Calculate the remaining moles of \(HC_2H_5CO_2\) and produced moles of \(HC_2H_5CO_2^- \):**
   - Stoichiometry: \(HC_2H_5CO_2H + OH^- \rightarrow HC_2H_5CO_2^- + H_2O \)
   - Moles of \(HC_2H_5CO_2H\) after reaction: \(0.130955 - 0.09584 = 0.035115 \, \text{moles}\
Transcribed Image Text:### Titration Problem - Calculating pH An analytical chemist is titrating 238.1 mL of a 0.5500 M solution of propionic acid (\(HC_2H_5CO_2\)) with a 0.8000 M solution of KOH. The \(pK_a\) of propionic acid is 4.89. Calculate the pH of the acid solution after the chemist has added 119.8 mL of the KOH solution to it. **Note for advanced students:** You may assume the final volume equals the initial volume of the solution plus the volume of KOH solution added. **Instructions:** Round your answer to 2 decimal places and enter it in the provided box. **pH Calculation Box:** \[ \text{pH} = \boxed{} \] ### Explanation: In this problem, we are dealing with a titration of a weak acid (propionic acid) with a strong base (KOH). The objective is to calculate the pH after the addition of a specific volume of KOH. ### Detailed Solution Approach: 1. **Determine the moles of propionic acid and KOH:** - Moles of propionic acid (\(HC_2H_5CO_2\)): \( \text{Molarity} \times \text{Volume} = 0.5500 \, M \times 0.2381 \, L = 0.130955 \, \text{moles} \) - Moles of KOH: \( \text{Molarity} \times \text{Volume} = 0.8000 \, M \times 0.1198 \, L = 0.09584 \, \text{moles} \) 2. **Calculate the remaining moles of \(HC_2H_5CO_2\) and produced moles of \(HC_2H_5CO_2^- \):** - Stoichiometry: \(HC_2H_5CO_2H + OH^- \rightarrow HC_2H_5CO_2^- + H_2O \) - Moles of \(HC_2H_5CO_2H\) after reaction: \(0.130955 - 0.09584 = 0.035115 \, \text{moles}\
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