You need to prepare an acetate buffer of pH 5.64 from a 0.747 M acetic acid solution and a 2.93 M KOH solution. If you have 775 mL of the acetic acid solution, how many milliliters of the KOH solution do you need to add to make a buffer of pH 5.64? The pKa of acetic acid is 4.76. Already tried 1498.88 and 1499 and they are wrong. Thank you!
174.6ml
Explanation
Henderson-Hasselbalch equation is
pH = pKa + log([A-]/[HA])
where,
[A-] = concentration of conjucate base i.e concentration of CH3COO-
[HA] = concentration of weak acid i.e concentration of weak acid CH3COOH
pKa of acetic acid = 4.76
required pH = 5.64
5.64 = 4.76 + log([CH3COO-]/[CH3COOH])
log([CH3COO-]/[CH3COOH]) = 0.88
[CH3COO-]/[CH3COOH] = 7.586
[CH3COO-] = 7.586[CH3COOH]
moles of CH3COO- = 7.586×moles of CH3COOH
Total no of moles = (0.747mol/1000ml)×775ml = 0.57893 mol
moles of CH3COOH + 7.586moles of CH3COOH = 0.57893mol
8.586molea of CH3COOH = 0.57893mol
moles of CH3COOH = 0.06743 mol
moles of CH3COO- = 0.57893mol - 0.06743mol = 0.5115
0.5115 moles of KOH react with 0.5115moles of CH3COOH to produce 0.5115 moles of CH3COO-
Volume of 2.93 M KOH solution containing 0.5115 moles of KOH =(1000ml /2.93mol)× 0.5115mol = 174.6ml
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