Question:

Calculate $pH$ of a buffer prepared by adding $10 \,mL$ of $0.10 \,M$ acetic acid to $20\, mL$ of $0.1\, M$ sodium acetate [$pK_a (CH_3COOH) = 4.74]$

Updated On: Apr 26, 2024
  • 3
  • 4.44
  • 4.74
  • 5.04
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The Correct Option is D

Solution and Explanation

The correct answer is D:5.04
The number of millimoles of \(CH_3COOH\) is calculated as \(0.1 \times 10 = 1.0\), while the millimoles of \(CH_3COONa\) is calculated as \(0.1 \times 20 = 2.0.\)
Using the Henderson-Hasselbalch equation:
\(pH = pK_a +log\frac{[conjugate\space base]}{[acid]}  \)
\(= 4.74 + log(\frac{2}{1}) \)
\(=4.47+0.30=5.04\)
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Concepts Used:

Buffer solutions

The buffer solution is a solution that is able to maintain its Hydrogen ion concentration (pH) with only minor changes on the dilution or addition of a small amount of either acid or base. They are used in fermentation, food preservatives, drug delivery, printing, the activity of enzymes and many more.

Buffer solutions are aqueous solutions containing a weak acid and its salt - acid buffer or a weak base and its salt - base buffer.

Types of Buffer Solution

Acidic Buffers

These solutions are used to maintain acidic environments. Also, it has acidic pH and is prepared by mixing a weak acid and its salt with a strong base. An aqueous solution of an equal concentration of acetic acid and sodium acetate has a pH of 4.74.

Alkaline Buffers

These solutions are used to maintain basic conditions. It has a basic pH and is prepared by mixing a weak base and its salt with strong acid. The aqueous solution of an equal concentration of ammonium hydroxide and ammonium chloride has a pH of 9.25.