Buffer Capacity

AP Chemistry· difficulty 2/5

A student prepares an acetic acid / acetate buffer at pH = 4.74 (pKa of CH3COOH = 4.74). Available stock solutions are 0.500 M CH3COOH and 0.500 M CH3COONa. The student combines 25.0 mL of acetic acid with 25.0 mL of sodium acetate to a total of 50.0 mL. The measured pH is 4.74.

The student adds 5.0 mL of 0.10 M HCl to the 50.0 mL buffer. What is the new pH (approximately)?

  • A

    5.00

  • B

    4.71

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  • C

    4.04

  • D

    1.30

Explanation

Initial moles: HA = A- = 0.0125. Add 5.0e-4 mol HCl converts A- to HA: A- = 0.0120, HA = 0.0130. pH = 4.74 + log(0.0120/0.0130) = 4.74 - 0.035 = 4.71.

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