Answer
pH = 4.56
Explanation
pKa = -logKa
pKa of CH3COOH = - log( 1.8×10-5) = 4.74
CH3COOH(aq) + NaOH(aq) --------> CH3COONa(aq) + H2O(l)
1:1molar reaction
Initial moles of CH3COOH = ( 0.10mol/1000ml) × 25ml = 0.0025mol
moles of NaOH added = ( 0.10mol/1000ml) × 10ml = 0.0010mol
0.0010moles of NaOH react with 0.0010moles of CH3COOH
After reaction
number of moles of CH3COOH = 0.0025mol - 0.0010mol = 0.0015mol
number of moles of CH3COO- = 0.0010mol
Total volume = 25ml + 10ml = 35ml
[CH3COOH] = (0.0015mol/35ml)×1000ml = 0.04286M
[ CH3COO-] = ( 0.0010mol/35ml) × 1000ml = 0.02857M
Henderson - Hasselbalch equation is
pH = pKa + log([A-]/[HA])
pH = 4.74 + log( 0.02857M /0.04286M)
pH = 4.74 - 0.18
pH = 4.56
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