A student titrates a 25 mL of an unknown concentration of HCl with 35 mL of a 0.890 M solution of KOH to reach the equivalence point. What is the pH of the HCI solution?

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter15: Acid–base Equilibria
Section: Chapter Questions
Problem 51P
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### Titration Problem

**Problem Statement:**
A student titrates 25 mL of an unknown concentration of HCl with 35 mL of a 0.890 M solution of KOH to reach the equivalence point. What is the pH of the HCl solution?

**Detailed Explanation:**

In this titration problem, the student is working with the following:

- **Volume of HCl (acid)**: 25 mL
- **Volume of KOH (base)**: 35 mL
- **Molarity of KOH**: 0.890 M

The goal is to determine the pH of the HCl solution at the equivalence point.

#### Steps to Solve:

1. **Moles of KOH**: 
   Calculation:
   \[ \text{moles of KOH} = \text{Molarity} \times \text{Volume} \]
   \[ \text{moles of KOH} = 0.890 \, \text{M} \times 0.035 \, \text{L} = 0.03115 \, \text{moles} \]

2. **At equivalence point**:
   The moles of KOH will equal the moles of HCl, because KOH and HCl react in a 1:1 molar ratio:
   \[ \text{moles of HCl} = 0.03115 \, \text{moles} \]

3. **Molarity of HCl**:
   Calculation:
   \[ \text{Molarity of HCl} = \frac{\text{moles of HCl}}{\text{Volume of HCl in Liters}} \]
   \[ \text{Molarity of HCl} = \frac{0.03115 \, \text{moles}}{0.025 \, \text{L}} = 1.246 \, \text{M} \]

4. **pH of HCl solution**:
   Since HCl is a strong acid, it fully dissociates in water:
   \[ \text{pH} = -\log[\text{H}^+] \]
   Given the concentration of HCl is equal to \([\text{H}^+]\):
   \[ \text{pH}
Transcribed Image Text:### Titration Problem **Problem Statement:** A student titrates 25 mL of an unknown concentration of HCl with 35 mL of a 0.890 M solution of KOH to reach the equivalence point. What is the pH of the HCl solution? **Detailed Explanation:** In this titration problem, the student is working with the following: - **Volume of HCl (acid)**: 25 mL - **Volume of KOH (base)**: 35 mL - **Molarity of KOH**: 0.890 M The goal is to determine the pH of the HCl solution at the equivalence point. #### Steps to Solve: 1. **Moles of KOH**: Calculation: \[ \text{moles of KOH} = \text{Molarity} \times \text{Volume} \] \[ \text{moles of KOH} = 0.890 \, \text{M} \times 0.035 \, \text{L} = 0.03115 \, \text{moles} \] 2. **At equivalence point**: The moles of KOH will equal the moles of HCl, because KOH and HCl react in a 1:1 molar ratio: \[ \text{moles of HCl} = 0.03115 \, \text{moles} \] 3. **Molarity of HCl**: Calculation: \[ \text{Molarity of HCl} = \frac{\text{moles of HCl}}{\text{Volume of HCl in Liters}} \] \[ \text{Molarity of HCl} = \frac{0.03115 \, \text{moles}}{0.025 \, \text{L}} = 1.246 \, \text{M} \] 4. **pH of HCl solution**: Since HCl is a strong acid, it fully dissociates in water: \[ \text{pH} = -\log[\text{H}^+] \] Given the concentration of HCl is equal to \([\text{H}^+]\): \[ \text{pH}
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