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Multiple Choice
A buffer solution is prepared by adding 9.04 mL of 1.27 M HBr to 190.0 mL of 0.11 M methylamine solution. The buffer is allowed time to establish. Then, 0.005 mol of a strong base is added. What is the pH of the resulting solution? Round your answer to 2 decimal places.
A
8.75
B
9.85
C
7.50
D
10.45
Verified step by step guidance
1
Identify the components of the buffer solution: HBr is a strong acid, and methylamine (CH3NH2) is a weak base. The buffer is formed by the reaction of HBr with methylamine to form methylammonium bromide (CH3NH3Br).
Calculate the initial moles of HBr and methylamine. Use the formula: \( \text{moles} = \text{concentration} \times \text{volume} \). For HBr: \( 9.04 \text{ mL} = 0.00904 \text{ L} \), so \( \text{moles of HBr} = 1.27 \text{ M} \times 0.00904 \text{ L} \). For methylamine: \( 190.0 \text{ mL} = 0.190 \text{ L} \), so \( \text{moles of CH3NH2} = 0.11 \text{ M} \times 0.190 \text{ L} \).
Determine the moles of methylammonium ion (CH3NH3+) formed by the reaction of HBr with methylamine. Since HBr is a strong acid, it will react completely with methylamine. Subtract the moles of HBr from the moles of methylamine to find the remaining moles of CH3NH2 and the moles of CH3NH3+ formed.
Add the moles of the strong base (0.005 mol) to the buffer solution. The strong base will react with the methylammonium ion (CH3NH3+) to form additional methylamine (CH3NH2) and water. Adjust the moles of CH3NH3+ and CH3NH2 accordingly.
Use the Henderson-Hasselbalch equation to calculate the pH of the buffer solution: \( \text{pH} = \text{pK}_a + \log \left( \frac{[\text{base}]}{[\text{acid}]} \right) \). The \( \text{pK}_a \) of methylammonium ion is needed, and the concentrations of CH3NH2 and CH3NH3+ are calculated from their moles and the total volume of the solution.