In: Chemistry
You are to prepare 100 mL of a pH 3.76 buffer solution with a formal concentration of 0.0500 F (i.e., total concentration of all acetate species is 0.0500 M). Calculate how many grams, of acetic acid and sodium acetate mix together.
Solution :-
Volume of solution = 100 ml = 0.100 L
Total concentration = 0.0500 M
Total moles = 0.0500 mol per L * 0.100 L = .0.00500 mol
Now lets calculate the ratio of the conjugate base to acid
pH= pka + log ( [conj base]/[acid])
3.76 = 4.74 + log ( [conj base]/[acid])
3.76 -4.74 = log ( [conj base]/[acid])
-0.98 = log ( [conj base]/[acid])
Antilog [-0.98] = conj base / acid
0.1047 = conj base / acid
Now lets calculate the moles of the conjugate base
0.1047 * 0.005 mol = 0.0005235 mol conjugate base (sodium acitate)
Moles of acetic acid = 0.00500 mol – 0.0005235 mol = 0.004476 mol
Now lets calculate the mass of each
Mass of sodium acetate = moles * molar mass
= 0.0005235 mol * 82.0343 g per mol
= 0.0429 g sodium acetate
Mass of acetic acid = moles * molar mass
= 0.004476 mol * 60.05 g per mol
= 0.2688 g acetic acid