A chemist titrates 90.0 mL of a 0.7050M methylamine (CH3NH₂) solution with 0.5016M HBr solution at 25 °C. Calculate the pH at equivalence. The pK, of methylamine is 3.36. Round your answer to 2 decimal places. Note for advanced students: you may assume the total volume of the solution equals the initial volume plus the volume of HBr solution added. pH = X

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### Titration of Methylamine with HBr Solution

**Problem Statement:**

A chemist titrates 90.0 mL of a 0.7050 M methylamine (CH₃NH₂) solution with 0.5016 M HBr solution at 25 °C. Calculate the pH at equivalence. The pK_b of methylamine is 3.36.

- Round your answer to 2 decimal places.

**Note for Advanced Students:**

You may assume the total volume of the solution equals the initial volume plus the volume of HBr solution added.

**Equation:**

- Methylamine: \( \text{CH}_3\text{NH}_2 \)
- \( \text{pH} = \, \)

(There is a calculation box followed by buttons for actions such as confirming or resetting.)

---

**Detailed Explanation:**

In this titration problem, the aim is to determine the pH of the solution at the equivalence point. Methylamine (CH₃NH₂) is a weak base, and HBr is a strong acid. At the equivalence point, the moles of HBr added will be equal to the moles of CH₃NH₂ initially present. 

1. **Determine moles of CH₃NH₂:**
   - Initial moles of CH₃NH₂ = Volume \(\times\) Molarity = 90.0 mL \(\times\) 0.7050 M = 0.06345 moles
   
2. **Volume of HBr required:**
   - Since the moles of HBr added will be equal to the moles of CH₃NH₂,
     Moles of HBr = 0.06345 moles
     \[
     \text{Volume of HBr} = \frac{\text{Moles of HBr}}{\text{Molarity of HBr}} = \frac{0.06345 \, \text{moles}}{0.5016 \, \text{M}} = 0.1265 \, \text{L} = 126.5 \, \text{mL}
     \]
3. **Calculate the new volume at equivalence:**
   - Total volume = Volume of CH₃NH₂ + Volume of HBr = 90.0 mL + 126
Transcribed Image Text:### Titration of Methylamine with HBr Solution **Problem Statement:** A chemist titrates 90.0 mL of a 0.7050 M methylamine (CH₃NH₂) solution with 0.5016 M HBr solution at 25 °C. Calculate the pH at equivalence. The pK_b of methylamine is 3.36. - Round your answer to 2 decimal places. **Note for Advanced Students:** You may assume the total volume of the solution equals the initial volume plus the volume of HBr solution added. **Equation:** - Methylamine: \( \text{CH}_3\text{NH}_2 \) - \( \text{pH} = \, \) (There is a calculation box followed by buttons for actions such as confirming or resetting.) --- **Detailed Explanation:** In this titration problem, the aim is to determine the pH of the solution at the equivalence point. Methylamine (CH₃NH₂) is a weak base, and HBr is a strong acid. At the equivalence point, the moles of HBr added will be equal to the moles of CH₃NH₂ initially present. 1. **Determine moles of CH₃NH₂:** - Initial moles of CH₃NH₂ = Volume \(\times\) Molarity = 90.0 mL \(\times\) 0.7050 M = 0.06345 moles 2. **Volume of HBr required:** - Since the moles of HBr added will be equal to the moles of CH₃NH₂, Moles of HBr = 0.06345 moles \[ \text{Volume of HBr} = \frac{\text{Moles of HBr}}{\text{Molarity of HBr}} = \frac{0.06345 \, \text{moles}}{0.5016 \, \text{M}} = 0.1265 \, \text{L} = 126.5 \, \text{mL} \] 3. **Calculate the new volume at equivalence:** - Total volume = Volume of CH₃NH₂ + Volume of HBr = 90.0 mL + 126
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