Consider 1.00 L of a buffer solution composed of hydrocyanic acid (HCN, Ka = 4.9 x 10-10 M) and potassium cyanide (KCN). This solution is 0.250 M in HCN and 0.300 M in KCN. How many mL of 1.00 M HCl solution can be neutralized before this solution is no longer a buffer (reaches its buffer capacity)? The answer is 250ml of HCl, and I understand that pH= pKa-1 since acid is added. However, I am confused with the step after this. It would be appreciated to elaborate on this with a solution.

General Chemistry - Standalone book (MindTap Course List)
11th Edition
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Publisher:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
Chapter16: Acid-base Equilibria
Section: Chapter Questions
Problem 16.147QP
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Consider 1.00 L of a buffer solution composed of hydrocyanic acid (HCN, Ka = 4.9 x 10-10 M) and potassium cyanide (KCN). This solution is 0.250 M in HCN and 0.300 M in KCN. How many mL of 1.00 M HCl solution can be neutralized before this solution is no longer a buffer (reaches its buffer capacity)?

The answer is 250ml of HCl, and I understand that pH= pKa-1 since acid is added. However, I am confused with the step after this. It would be appreciated to elaborate on this with a solution.

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