In: Chemistry
How would you make up 100 ml of 50 mM Tris-HCl buffer at pH 7.4, using the 0.5 M Tris base stock solution, and any other required materials?
Here the buffer is
Tris + HCl ---- > Tris-HCl
First calculate the number of moles of Trisl+ Tris-HCl = volume * molarty
= 100 ml+50mM
= 5.0 m mole
[Tris] + [Tris-HCl ]= 5.0 m mole ------(1)
The pH of the buffer is given as follows:
pH = pKa + log [Tris]/ [Tris-HCl]
pKa FOR Tris-HCl = 8.072
And pH = 7.4
Therefore;
pH = pKa + log [Tris]/ [Tris-HCl]
7.4= 8.072 + log [Tris]/ [Tris-HCl]
log [Tris]/ [Tris-HCl] = -0.0672
[Tris]/ [Tris-HCl] = 10^-0.0672 = 0.213
Or [Tris]= 0.213 [Tris-HCl] ---- (2)
From equation 1 and 2
[Tris] + [Tris-HCl ]= 5.0 m mole ------(1)
[Tris]= 0.213 [Tris-HCl] ---- (2)
We will get
[Tris-HCl ]= 4.1 m mole
And
[Tris]= 0.9 mmole
Hence 4.1 m mole of HCl to0.5 M tris base and making the final volume of 100 ml will give the pH 7.4