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    Show that the maximum buffer capacity occur at pH=pKa

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    Starting with equation (8.5) show that the maximum buffer capacity occur at pH=pKa.
    The units of buffer capacity are mol L^-1. As a consequence of the definitions, buffer capacity is always a positive quantity. For a monoprotic acid the buffer capacity (as a function of pH) is given by: (see attachment).

    The buffer capacity depends n both the pH of the buffer and the concentrations of the components of the buffer.

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    https://brainmass.com/chemistry/physical-chemistry/maximum-buffer-capacity-example-problem-151557

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    It shows that the maximum buffer capacity occur at pH=pKa.

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