Lecture 2 Flashcards
Draw the ionization state of a generic AA at pH =1, 6, and 11
N/A
Write the law of mass action equilibrium
Ka = [H+][A-]/[HA]
What is the pKa for the following ionizable fxnal groups in AA’s and polypeptides? (for the free amino acid solubilized in water, not one buried residue within a protein):
- Aspartate (carboxylate)
- Glutamate (carboxylate)
- Histidine (imidazole)
- Cysteine (thiol, sulfhydryl)
- Tyrosine (phenol group)
- Lysine (ε-amino group)
- Arginine (guanidinium group)
- Serine (hydroxyl) 9. Threonine (hydroxyl)
- α-carboxyl of free amino acid
- α-amino of free amino acid
- C-terminal carboxyl group of polypeptide
- N-terminal amino group of polypeptide
- Aspartate (carboxylate) = 4
- Glutamate (carboxylate) = 4
- Histidine (imidazole) = 6.5, 14.6
- Cysteine (thiol, or sulfhydryl) = 8.5
- Tyrosine (phenol group) = 10.5
- Lysine (ε-amino group) = 10.5
- Arginine (guanidinium group) = 12.5
- Serine (hydroxyl) = 14
- Threonine (hydroxyl) = 14
- α-carboxyl of free amino acid = 2
- α-amino of free amino acid = 9.5
- C-terminal carboxyl group of polypeptide = 3
- N-terminal amino group of polypeptide = 8
What factors do pKa values depend on?
temperature, ionic strength, and most of all the microenvironment of the functional group.
Draw the structure of aspartic acid, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of glutamic acid, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of histidine, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of cysteine, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of tyrosine, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of lysine, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Draw the structure of arginine, it’s pKa, and its depronated state and the name of its fxnal group before and after deprotonation
N/A
Write the henderson-hasselbalch equation
pH = pKa + log [A-]/[HA]
How does Ka relate to pH?
HA A- + H+ Ka = [H+][A-]/[HA] log10Ka = log10 ([H+][A-]/[HA]) logKa = log[H+] + log[A-]/[HA] recall: p = -log -pKa = -pH + log[A-]/[HA] pH = pKa + log[A-][HA]
Ratio vs. Fraction problem
Q: A protein has one cysteine residue on its surface (solvent exposed). What fraction of the protein will have the cysteine side chain in the deprotonated state when the protein is suspended in a buffer at the following pH’s: 6, 7, 8, 9, 10? Assume a pKa value of 8.0 for the cysteine side chain thiol group.
Ratio (R) = [A-][HA] pH = pKa + log[A-][HA] Let [A-]/[HA] = R pH = pKa + logR pH - pKa = logR 10^pH-pKa = R
Fraction (F) = [A-]/[AT] = [A-]/ [HA] + [A-]
recall: Ratio R = [A-]/[HA]
recall: R[HA] = A-
Fraction (F) = [A-]/[AT] = [A-]/ [HA] + R[HA]
Fraction (F) = R / 1 + R
1) pH 6 R = 10^pH-pKa R = 10^6-8 R = 10^-2 R = 0.01
F = R / 1 + R
F = 0.01 / 1 + 0.01
F =
2) pH 7 R = 10^pH - pKa R = 10^7 - 8 R = 10^-1 R = 0.1
F = R / 1 + R
F = 0.1 / 1 + 0.1
F =
3) pH 8 R = 10^pH-pKa R = 10^8-8 R = 10^0 R=
F = R / 1 + R
F =
F =
4) pH 9 R = 10^pH-pKa R = 10^9-8 R = 10^1 R = 10
F = R / 1 + R
F = 10 / 1 + 10
F =
5) pH 10 R = 10^pH-pKa R = 10^10-8 R = 10^2 R = 100
F = R / 1 + R
F = 100 / 1 + 100
F =
Relate ratio to fraction
Ratio (R) = [A-][HA] pH = pKa + log[A-][HA] Let [A-]/[HA] = R pH = pKa + logR pH - pKa = logR 10^pH-pKa = R
Fraction (F) = [A-]/[AT] = [A-]/ [HA] + [A-]
recall: Ratio R = [A-]/[HA]
recall: R[HA] = A-
Fraction (F) = [A-]/[AT] = [A-]/ [HA] + R[HA]
Fraction (F) = R / 1 + R
At the pKa of a fxnal group; ____% will be deprotonated
50%
2 pH units below the pKa 99% will be _________
protonated
2 pH units above the pKa, 99% will be ________
deprotonated