Calculate the amounts in grams of weak acid and conjugate base needed to make the buffer.
Answer
Weak acid needed = 1.7850g
Conjucate base needed = 0.4346g
Explanation
i) Henderson-Hasselbalch equation is
pH = pKa + log([A-]/[HA])
A- = conjucta base , CH3COO-
HA = weak acid , CH3COOH
target pH= 4.00
pKa of acetic acid = 4.75
substituting the values
4.00 = 4.75 + log([CH3COO-]/[CH3COOH])
log([CH3COO-] /[CH3COOH]) = -0.75
[CH3COO-] /[CH3COOH] = 0.1778
[CH3COO-] =0.1778× [CH3COOH]
ii) moles of CH3COO- = 0.1778×moles of CH3COOH
Total moles of buffer = (0.07mol/1000ml)×500ml = 0.035mol
moles of CH3COOH + moles of CH3COO- = 0.035mol
moles of CH3COOH + 0.1778× moles of CH3COOH = 0.035mol
1.1778×moles of CH3COOH = 0.035mol
moles of CH3COOH = 0.0297mol
moles of CH3COO- = 0.0350mol - 0.0297mol = 0.0053mol
iii) Mass = Molar mass × no of moles
mass of CH3COOH reaquired = 60.1g/mol × 0.0297mol = 1.7850g
mass of CH3COONa required = 82.0g/mol × 0.0053mol = 0.4346g
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