The condition for minimum change in pH for a | vedclass

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Question

(C) Buffers work best when $pH = pK_a$. From the Henderson-Hasselbalch equation: $pH = pK_a + \log_{10} \frac{[A^{-}]}{[HA]}$ If $pH = pK_a$,then $\lo

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$pH = pK_a$

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(C) Buffers work best when $pH = pK_a$. From the Henderson-Hasselbalch equation: $pH = pK_a + \log_{10} \frac{[A^{-}]}{[HA]}$ If $pH = pK_a$,then $\log_{10} \frac{[A^{-}]}{[HA]} = 0$,which implies $\frac{[A^{-}]}{[HA]} = 1$. $A$ buffer exhibits the highest resistance to acid and base addition when the concentrations of the conjugate acid and base are equal (i.e.,when $pH = pK_a$). Buffer capacity is highest when $pH$ is close to the $pK_a$ value. As the $pH$ deviates from the $pK_a$ value,the buffer capacity decreases.

The condition for minimum change in $pH$ for a buffer solution is

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