applications of henderson equation
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Example 1: Calculate the pH of a buffer composed of 0.1M acetic acid (CH3COOH) and 0.6M acetate (CH3COO-) knowing that the acid dissociation constant Ka is 1.8 x 10-5.
Step 1. Figure out what variables we have:
i.e we know that [HA] = [CH3COOH] = 0.1M (unionized species)
[A-] = [CH3COO-] = 0.6M (ionized species)
Ka = 1.8 x 10-5
Step 2. Analyze what we need for the Henderson-Hasselbalch equation
i.e. The Henderson-Hasselbalch equation is written as: pH = pKa + log ([A–]/[HA])
We already know the values for [A-] and [HA]. Thus we only need to convert the Ka into pKa.
Note- Make sure the units for the [A-] and [HA] are in molar (M) units. pKa = – log Ka = – log 1.8 x 10-5 = 4.7
Step 3. Insert all knowns into Henderson-Hasselbalch equation and calculate the unknown pH
pH = pKa + log ([A–]/[HA])
pH = 4.7 + log ( 0.6 / 0.1)
pH = 4.7 + log 6
pH = 4.7 + 0.78
pH = 5.48 (Answer)
Step 1. Figure out what variables we have:
i.e we know that [HA] = [CH3COOH] = 0.1M (unionized species)
[A-] = [CH3COO-] = 0.6M (ionized species)
Ka = 1.8 x 10-5
Step 2. Analyze what we need for the Henderson-Hasselbalch equation
i.e. The Henderson-Hasselbalch equation is written as: pH = pKa + log ([A–]/[HA])
We already know the values for [A-] and [HA]. Thus we only need to convert the Ka into pKa.
Note- Make sure the units for the [A-] and [HA] are in molar (M) units. pKa = – log Ka = – log 1.8 x 10-5 = 4.7
Step 3. Insert all knowns into Henderson-Hasselbalch equation and calculate the unknown pH
pH = pKa + log ([A–]/[HA])
pH = 4.7 + log ( 0.6 / 0.1)
pH = 4.7 + log 6
pH = 4.7 + 0.78
pH = 5.48 (Answer)
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