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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7c14a699-de9b-4c1d-9356-4bb35f1041ad%2Feb69ec09-30ca-4027-8382-d0749711574a%2F2b48b3n_processed.jpeg&w=3840&q=75)
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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