Initial moles of sodium acetate = acetic acid = 1 m * 1 L = 1 moles
Concentration of acetate after adding NaOH = 1 mole + 0.40 mole = 1.40 M
Concentration of acetic acid after adding NaOH = 1 mol - 0.40 mol = 0.60 M
According to Handerson - Hasselblach equation:
pH = Pka + ㏒ [ acetate]/[acetic acid]
we know that,
for acetic acid, pKa = 4.74
so, by substitution:
∴pH = 4.74 + ㏒[1.40/0.60]
∴ pH = 5.10
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