Biochemistry: Henderson-Hasselbalch Problem

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In summary, for the given polypeptide V-A-Y-K-H and using the Henderson-Hasselbalch equation, one mole of base would be needed to titrate one mole of the fully protonated peptide to a pH of 4.00. This is based on the pKa of the alpha COOH group (2.4) and the fact that at pH 4.00, this is the only portion of the molecule that is deprotonated. The calculation shows that the ratio of the deprotonated form to the protonated form is 39.8, indicating that the amount of base needed is just under one mole.
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cookiebookie
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Homework Statement



How many moles of base would be needed to titrate one mole of this fully protonated peptide to a pH of 4.00?

This polypeptide is V-A-Y-K-H.

Homework Equations



Henderson-Hasselbalch: pH= pKa + log[A]/[HA]

pKa of alpha COOH = 2.4
The alpha COOH (at the C-Terminus) is the only portion of the molecule that is deprotonated (basic) at pH 4.00, so we use its pKa for the calculation.

The Attempt at a Solution



pH = pKa + log [A]/[HA]
4.0 = 2.4 + log [A]/[HA]
1.6= log [A]/[HA]
39.8 = A/HA

I'm not sure how to go from the ratio of A/HA to the moles of base needed.
 
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  • #2
You need initial concentration of peptide. Then, knowing final ratio, you can easily calculate concentration of the neutralized peptide and amount of NaOH can be calculated from the neutralization stoichiometry.
 
  • #3
What that
cookiebookie said:
39.8 = A/HA

is saying is a way of saying what should be evident from the fact that the pH 4 is substantially (by 1.6 units) above the pK, so the carboxyl will be almost all deprotonated (to within about 2.5% in fact) so the number of moles required is just under 1.

(Sorry Borek, the question was about moles so you do not need concentration.)
 
  • #4
Yep, missed the "one mole" part. Sorry about that.
 
  • #5
Can you provide more information on the peptide's structure and composition? Without this information, it is difficult to accurately calculate the number of moles of base needed for titration. Additionally, the pKa value given is for the alpha COOH group, but it is unclear if this is the only deprotonated group in the molecule. More information is needed to accurately solve this problem.
 

What is the Henderson-Hasselbalch equation and why is it important in biochemistry?

The Henderson-Hasselbalch equation is a formula used to calculate the pH of a solution based on the concentrations of a weak acid and its conjugate base. It is important in biochemistry because it helps determine the pH of biological systems, such as blood and cellular environments, which can greatly affect the function of enzymes and other biomolecules.

How is the Henderson-Hasselbalch equation derived?

The Henderson-Hasselbalch equation is derived from the equilibrium constant expression for a weak acid and its conjugate base. By taking the negative logarithm of both sides and rearranging the terms, the equation can be simplified to pH = pKa + log([A-]/[HA]), where pKa is the acid dissociation constant and [A-] and [HA] are the concentrations of the conjugate base and weak acid, respectively.

What are the assumptions made in using the Henderson-Hasselbalch equation?

The Henderson-Hasselbalch equation assumes that the acid and its conjugate base are in equilibrium, there is negligible ionic strength, and there is no other acid-base reaction occurring in the solution. It also assumes that the acid is a weak acid, meaning it does not completely dissociate in solution.

Can the Henderson-Hasselbalch equation be used for strong acids or bases?

No, the Henderson-Hasselbalch equation is only applicable for weak acids and bases. For strong acids or bases, the concentration of the conjugate base or acid is negligible, making the log term in the equation essentially zero.

How is the Henderson-Hasselbalch equation used in practical applications?

The Henderson-Hasselbalch equation is commonly used in biochemistry and medicine to determine the pH of biological systems and to understand how changes in pH can affect biological processes. It is also used in the preparation of buffer solutions, which are important in maintaining a stable pH in laboratory experiments and in biological systems.

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