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Solved: To act as an effective buffer, the concentrations

Chapter 16, Problem 91P

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QUESTION:

To act as an effective buffer, the concentrations of the acid and the conjugate base should not differ by more than a factor of 10, that is,

          \(10 \geq \frac{\text { [conjugate base }]}{[\text { acid }]} \geq 0.1\)

(a) Show that the buffer range, that is, the range of the concentration ratio over which the buffer is effective, is given by \(\mathrm{pH=p}K_\mathrm a \pm 1\).

(b) Calculate the pH range for the following buffer systems: (a) acetate, (b) nitrite, (c) bicarbonate, (d) phosphate.

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QUESTION:

To act as an effective buffer, the concentrations of the acid and the conjugate base should not differ by more than a factor of 10, that is,

          \(10 \geq \frac{\text { [conjugate base }]}{[\text { acid }]} \geq 0.1\)

(a) Show that the buffer range, that is, the range of the concentration ratio over which the buffer is effective, is given by \(\mathrm{pH=p}K_\mathrm a \pm 1\).

(b) Calculate the pH range for the following buffer systems: (a) acetate, (b) nitrite, (c) bicarbonate, (d) phosphate.

ANSWER:

Step 1 of 3

(a)

From the given,

For an effective buffer, the concentration values of the acid and the conjugate base should not differ by more than a factor of 10, this is given by,

                                     

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