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1)
moles OH- in NaOH = 15.00 mL x 10-3 L x 0.100 M = 0.0015 mol
1 mmol = 0.001 mol
moles CH3COOH = 50 mL x 1.0 mmol x 0.001 = 0.05 mol
moles CH3COO- = 50 mL x 1.0 mmol x 0.001 = 0.05 mol
Total volume = 15 mL + 50 mL = 65 mL = 0.065 L
[OH-] = 0.0015 mol / 0.065 L = 0.0231 M
[CH3COOH] = 0.05 mol / 0.065 L = 0.769 M
[CH3COO-] = 0.05 mol / 0.065 L = 0.769 M
R....................CH3COOH..........+..........OH-......<==>........CH3COO-
I........................0.769..........................0.0231.......................0.769
C.....................-0.0231......................-0.0231.......................0.0231
E.....................0.7459...........................0............................0.7921
CH3COOH acid dissociation constant Ka = 1.8 x 10-5
pKa = -log(Ka) = -log(1.8 x 10-5) = 4.74
From Henderson-Hasselbalch equation for buffers
pH = pKa + log(conjugate base / acid)
pH = 4.74 + log[0.7921 / 0.7459]
pH = 4.77
New solution pH = 4.77
This option was not given in the question, so correct option is (d) can't tell/need more info
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