J.R. S. answered 06/05/24
Ph.D. in Biochemistry--University Professor--Chemistry Tutor
To prepare an effective buffer at pH 7.8, you want to use a buffer that has a pKa within + or - 1 pH unit of the desired pH, ie pKa = 6.8 - 8.8. So, looking at the pKa values of the available we see that bicine and perhaps PIPES. We will choose bicine buffer as it is clearly within the +/- 1 pH unit desired.
Now, for the preparation of 1600 ml (1.600 L) of 182 mM (0.182 M) buffer.
1.600 L x 0.182 mol / L = 0.291 mols bicine required.
Using the Henderson Hasselbalch equation, we can calculate the ratio of bicine / sodium bicine
pH = pKa + log [Na-bicine] / [bicine]
7.8 = 8.35 + log [Na-bicine] / [bicine]
log [Na-bicine] / [bicine] = -0.55
[Na-bicine] / [bicine] = 0.282
Now that we know the ratio of Na-bicine / bicine, we can calculate moles of each.
Let x = moles Na-bicine
0.282 = x / 0.291 - x
x = 0.0640 mols of Na-bicine
0.291-x = 0.227 mols bicine
Finally, we can now calculate the mass of each (bicine and Na-bicine) needed to make this buffer.
For Na-bicine: 0.0640 mols x 185.15 g / mol = 11.8 g Na-bicine
For bicine: 0.227 mols x 163.2 g / mol = 37.0 g of bicine
Procedure for preparing the buffer:
Weigh out 11.8 g sodium bicine. Weigh out 37.0 g bicine. Dissolve in water and bring the final volume to 1.600 liters.