Answer
Molarity needed for the acid component of the buffer = 0.0388M
Molarity needed for the base component of the buffer = 0.00112M
Moles acid needed for the buffer = 0.00388mol
Moles of base needed for the buffer = 0.00112mol
mL of Glacial Acetic acid needed for the buffer = 0.223ml
Grams of base are needed for the buffer = 0.0919g
Explanation
Henderson-Hasselbalch equation is
pH = pKa + log([A-]/[HA])
4.2 = 4.74 + log( [CH3COO-]/[CH3COOH])
log([CH3COO-]/[CH3COOH]) = -0.54
[CH3COO-]/[CH3COOH] = 0.2884
[CH3COO-] = 0.2884[CH3COOH]
[CH3COO-] + [CH3COOH] = 0.050M
0.2884[CH3COOH] + [CH3COOH] = 0.050M
1.2884[CH3COOH] = 0.050M
[CH3COOH] = 0.0388M
[CH3COO-] = 0.050M - 0.03881M = 0.0112M
moles of CH3COOH required = (0.03881mol/1000ml)×100ml = 0.00388mol
moles of CH3COO- required = ( 0.01119mol/1000ml)× 100ml = 0.00112mol
volume of Glavial acetic acid needed = (1000ml/17.4mol)× 0.00388mol = 0.223ml
mass of base required = 0.00112mol × 82.04g/mol = 0.09188g
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