If you dissolved had a 0.5M Tris buffer (Molecular weight is 121.1grams/mole) at pH 6.5 and needed to adjust this solution to pH 8.0 how many would you get this solution to a pH of 8.0? Indicate what you would need to add, HCl or NaOH and what volume of a 1M solution of HCl or NaOH you would need to add to obtain a final pH of 8.0? Assume here you will end with a 1L solution.
A Tris buffer at pH 6.5 would be converted to pH 8.0 by addition of base.
Using Hendersen-Hasselbalck equation,
pH = pKa + log([base]/[acid])
6.5 = 8.1 + log([base]/[acid])
[base] = 0.025[acid]
[acid] + [base] = 0.5 M
[acid] + 0.025[acid] = 0.5
[acid] = 0.49 M
[base] = 0.01 M
With, pH = 8.0
8.0 = 8.1 + log([base]/[acid])
[base] = 0.79[acid]
[acid] + [base] = 0.5 M
[acid] + 0.79[acid] = 0.5
[acid] = 0.28 M
[base] = 0.22 M
With volume of buffer solution = 1 L
M = mols
So, we have to bring [base] concentration from 0.01 to 0.22 mols
Volume of 1M NaOH to be added = (0.22 - 0.01)mol/1 M = 0.21 L
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