In: Chemistry
Explain how you would make 500 mL of a 20 mM citric acid buffer
at a pH of 7.0. You must specify the components that you would use
and the masses. Explain what will happen if you add 5 mL of 1.0 M
NaOH to this solution.
a)
pKa1 = 3.13 pKa2 = 4.76 pKa3 = 6.39
if pH goal is 7
then, we must use pKa3, the nearest
HCitrate-2 = citrate-3 + H+
pH = pKa + log(citrate-3/HCitrate-2)
7 = 6.39+ log(citrate-3/HCitrate-2)
(citrate-3/HCitrate-2) = 10^(7 - 6.39) = 4.0738
(citrate-3/HCitrate-2) = 4.0738
total solution molarity:
mmol = MV = (20)(0.5) = 10 mmol
then
(citrate-3/HCitrate-2) = 4.0738 --> citrate-3 = 4.0738 *HCitrate-2
Citrate-3 + HCitrate-2 = 10
4.0738 *HCitrate-2 + HCitrate-2 = 10
HCitrate-2 = 10/(4.0738 +1) = 1.9709
citrate-3 = 4.0738 *HCitrate-2 =1.9709*4.0738 = 8.0290
now..
add:
mol of citrate salt = 10 mmol
Na3C6H5O7
mass = mol*MW = (10*10^-3)(258.06 ) = 2.5806 g of sodium citrate
now, add
HCl at 0.1 M --> mol of acid required = 1.9709
V = mmol/M = 1.9709/0.1 = 19.71 mL of HCl at 0.1 M
then, add enough deionized water up to V = 500 mL mark
this buffer has already pH = 7.
now,
if we add NaOh, then, the pH of the buffer increases drastically, since we will have destroyed this buffer ( plenty of OH will neutralize the acid)
OH- = MV = 5*1 = 5
1.9709-5 = -3.09 mol of OH- leftover