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Using the Henderson-Hasselbalch equation, what is the pH of a buffer system that contains 0.87 M dimethylamine ((CH3)2NH) and 0.68 M dimethylammonium ion ((CH3)2NH2+)? The Kb of dimethylamine is 5.9 × 10⁻⁴.
A
pH = 9.78
B
pH = 10.22
C
pH = 8.50
D
pH = 11.00
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1
Start by understanding the Henderson-Hasselbalch equation, which is used to calculate the pH of a buffer solution: .
Since we are given the Kb of dimethylamine, we need to convert it to Ka using the relation: , where is the ion product of water, .
Calculate using the formula: . Substitute the values: .
Once you have , calculate using the formula: .
Finally, substitute the values into the Henderson-Hasselbalch equation: to find the pH of the buffer system.