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Lehninger Principles of Biochemistry

David L. Nelson, Michael M. Cox

Chapter 3

Amino Acids, Peptides, and Proteins - all with Video Answers

Educators


Chapter Questions

01:13

Problem 1

The citrulline isolated from watermelons has the structure shown below. Is it a D- or L-amino acid? Explain.
Structure can't copy

David Collins
David Collins
Numerade Educator
07:18

Problem 2

A 100 mL solution of 0.1 m glycine at pH 1.72 was titrated with 2 m NaOH solution. The pH was monitored and the results were plotted on a graph, as shown at right. The key points in the titration are designated I to V. For each of the statements (a) to (o), identify the appropriate key point in the titration and justify your choice.
(a) Glycine is present predominantly as the species ${ }^{+} \mathrm{H}_3 \mathrm{~N}-\mathrm{CH}_2-\mathrm{COOH}$.
(b) The average net charge of glycine is $+\frac{1}{2}$.
(c) Half of the amino groups are ionized.
(d) The pH is equal to the $\mathrm{p} K_{\mathrm{a}}$ of the carboxyl group.
(e) The pH is equal to the $\mathrm{p} K_{\mathrm{a}}$ of the protonated amino group. $\square$
(f) Glycine has its maximum buffering capacity.
(g) The average net charge of glycine is zero.
(h) The carboxyl group has been completely titrated (first equivalence point).
(i) Glycine is completely titrated (second equivalence point).
(j) The predominant species is ${ }^{+} \mathrm{H}_3 \mathrm{~N}-\mathrm{CH}_2-\mathrm{COO}^{-}$.
(k) The average net charge of glycine is -1 .
(1) Glycine is present predominantly as a $50: 50$ mixture of ${ }^{+} \mathrm{H}_3 \mathrm{~N}-\mathrm{CH}_2-\mathrm{COOH}$ and ${ }^{+} \mathrm{H}_3 \mathrm{~N}-\mathrm{CH}_2-\mathrm{COO}^{-}$.
(m) This is the isoelectric point.
(n) This is the end of the titration.
(o) These are the worst pH regions for buffering power.
Graph can't copy

AB
Amanda Bates
Numerade Educator
03:15

Problem 3

At a pH equal to the isoelectric point of alanine, the net charge on alanine is zero. Two structures can be drawn that have a net charge of zero, but the predominant form of alanine at its pI is zwitterionic.
Structures can't copy
(a) Why is alanine predominantly zwitterionic rather than completely uncharged at its pI?
(b) What fraction of alanine is in the completely uncharged form at its pI? Justify your assumptions.

David Collins
David Collins
Numerade Educator
08:58

Problem 4

Each ionizable group of an amino acid can exist in one of two states, charged or neutral. The electric charge on the functional group is determined by the relationship between its $\mathrm{p} K_{\mathrm{a}}$ and the pH of the solution. This relationship is described by the HendersonHasselbalch equation.
(a) Histidine has three ionizable functional groups. Write the equilibrium equations for its three ionizations and assign the proper $\mathrm{p} K_{\mathrm{a}}$ for each ionization. Draw the structure of histidine in each ionization state. What is the net charge on the histidine molecule in each ionization state?
(b) Draw the structures of the predominant ionization state of histidine at $\mathrm{pH} 1,4,8$, and 12 . Note that the ionization state can be approximated by treating each ionizable group independently.
(c) What is the net charge of histidine at $\mathrm{pH}, 4,8$, and 12? For each pH , will histidine migrate toward the anode ( + ) or cathode $(-)$ when placed in an electric field?

Rashmi Sinha
Rashmi Sinha
Numerade Educator
05:19

Problem 5

Mixtures of amino acids are analyzed by first separating the mixture into its components through ionexchange chromatography. Amino acids placed on a cationexchange resin containing sulfonate groups (see Fig. 3-18a) flow down the column at different rates because of two factors that influence their movement: (1) ionic attraction between the $-\mathrm{SO}_3^{-}$residues on the column and positively charged functional groups on the amino acids, and (2) hydrophobic interactions between amino acid side chains and the strongly hydrophobic backbone of the polystyrene resin. For each pair of amino acids listed, determine which will be eluted first from an ion-exchange column using a pH 7.0 buffer.
(a) Asp and Lys
(b) Arg and Met
(c) Glu and Val
(d) Gly and Leu
(e) Ser and Ala

KA
Kakra Atakora
Numerade Educator
01:36

Problem 6

The structure of the amino acid isoleucine is
Structure can't copy
(a) How many chiral centers does it have?
(b) How many optical isomers?
(c) Draw perspective formulas for all the optical isomers of isoleucine.

Madi Sousa
Madi Sousa
Numerade Educator
05:09

Problem 7

The titration curve of alanine shows the ionization of two functional groups with $\mathrm{p} K_{\mathrm{a}}$ values of 2.34 and 9.69 , corresponding to the ionization of the carboxyl and the protonated amino groups, respectively. The titration of di-, tri-, and larger oligopeptides of alanine also shows the ionization of only two functional groups, although the experimental $\mathrm{p} K_{\mathrm{a}}$ values are different. The trend in $\mathrm{p} K_{\mathrm{a}}$ values is summarized in the table.
$$
\begin{array}{lcc}
\text { Amino acid or peptide } & p K_1 & p K_2 \\
\hline \text { Ala } & 2.34 & 9.69 \\
\text { Ala-Ala } & 3.12 & 8.30 \\
\text { Ala-Ala-Ala } & 3.39 & 8.03 \\
\text { Ala-(Ala) }{ }_n \text {-Ala, } n \geq 4 & 3.42 & 7.94
\end{array}
$$
(a) Draw the structure of Ala-Ala-Ala. Identify the functional groups associated with $\mathrm{p} K_1$ and $\mathrm{p} K_2$.
(b) Why does the value of $\mathrm{p} K_1$ increase with each addition of an Ala residue to the Ala oligopeptide?
(c) Why does the value of $\mathrm{p} K_2$ decrease with each addition of an Ala residue to the Ala oligopeptide?

Rashmi Sinha
Rashmi Sinha
Numerade Educator
View

Problem 8

What is the approximate molecular weight of a protein with 682 amino acid residues in a single polypeptide chain?

Rebecca Klein
Rebecca Klein
Numerade Educator
05:51

Problem 9

A quantitative amino acid analysis reveals that bovine serum albumin (BSA) contains 0.58\% tryptophan $\left(M_{\mathrm{r}} 204\right)$ by weight.
(a) Calculate the minimum molecular weight of BSA (i.e., assuming there is only one tryptophan residue per protein molecule).
(b) Gel filtration of BSA gives a molecular weight estimate of 70,000 . How many tryptophan residues are present in a molecule of serum albumin?

Rashmi Sinha
Rashmi Sinha
Numerade Educator
07:58

Problem 10

A peptide has the sequence
Glu-His-Trp-Ser-Gly-Leu-Arg-Pro-Gly
(a) What is the net charge of the molecule at $\mathrm{pH} 3,8$, and 11 ? (Use $\mathrm{p} K_{\mathrm{a}}$ values for side chains and terminal amino and carboxyl groups as given in Table 3-1.)
(b) Estimate the pI for this peptide.

Rashmi Sinha
Rashmi Sinha
Numerade Educator
01:07

Problem 11

Pepsin is the name given to several digestive enzymes secreted (as larger precursor proteins) by glands that line the stomach. These glands also secrete hydrochloric acid, which dissolves the particulate matter in food, allowing pepsin to enzymatically cleave individual protein molecules. The resulting mixture of food, HCl , and digestive enzymes is known as chyme and has a pH near 1.5. What pI would you predict for the pepsin proteins? What functional groups must be present to confer this pI on pepsin? Which amino acids in the proteins would contribute such groups?

Prashant Bana
Prashant Bana
Numerade Educator
02:51

Problem 12

Histones are proteins found in eukaryotic cell nuclei, tightly bound to DNA, which has many phosphate groups. The pI of histones is very high, about 10.8 . What amino acid residues must be present in relatively large numbers in histones? In what way do these residues contribute to the strong binding of histones to DNA?

AS
Aidan Sullivan
Numerade Educator
08:56

Problem 13

One method for separating polypeptides makes use of their differential solubilities. The solubility of large polypeptides in water depends upon the relative polarity of their R groups, particularly on the number of ionized groups: the more ionized groups there are, the more soluble the polypeptide. Which of each pair of the polypeptides that follow is more soluble at the indicated pH ?
(a) (Gly) $)_{20}$ or (Glu) ${ }_{20}$ at pH 7.0
(b) (Lys-Ala) $)_3$ or (Phe-Met) 3 at pH 7.0
(c) (Ala-Ser-Gly) $)_5$ or (Asn-Ser-His) 5 at pH 6.0
(d) (Ala-Asp-Gly) 5 or (Asn-Ser-His) 5 at pH 3.0

KA
Kakra Atakora
Numerade Educator
04:07

Problem 14

A biochemist discovers and purifies a new enzyme, generating the purification table below.
Table can't copy
(a) From the information given in the table, calculate the specific activity of the enzyme solution after each purification procedure.
(b) Which of the purification procedures used for this enzyme is most effective (i.e., gives the greatest relative increase in purity)?
(c) Which of the purification procedures is least effective?
(d) Is there any indication based on the results shown in the table that the enzyme after step 6 is now pure? What else could be done to estimate the purity of the enzyme preparation?

Shazia Naz
Shazia Naz
Numerade Educator
05:22

Problem 15

A group of peptides that influence nerve transmission in certain parts of the brain has been isolated from normal brain tissue. These peptides are known as opioids, because they bind to specific receptors that also bind opiate drugs, such as morphine and naloxone. Opioids thus mimic some of the properties of opiates. Some researchers consider these peptides to be the brain's own pain killers. Using the information below, determine the amino acid sequence of the opioid leucine enkephalin. Explain how your structure is consistent with each piece of information.
(a) Complete hydrolysis by 6 m HCl at $110^{\circ} \mathrm{C}$ followed by amino acid analysis indicated the presence of Gly, Leu, Phe, and Tyr, in a $2: 1: 1: 1$ molar ratio.
(b) Treatment of the peptide with 1-fluoro-2,4-dinitrobenzene followed by complete hydrolysis and chromatography indicated the presence of the 2,4-dinitrophenyl derivative of tyrosine. No free tyrosine could be found.
(c) Complete digestion of the peptide with pepsin followed by chromatography yielded a dipeptide containing Phe and Leu, plus a tripeptide containing Tyr and Gly in a 1:2 ratio.

Rashmi Sinha
Rashmi Sinha
Numerade Educator
05:15

Problem 16

Extracts from the bacterium Bacillus brevis contain a peptide with antibiotic properties. This peptide forms complexes with metal ions and apparently disrupts ion transport across the cell membranes of other bacterial species, killing them. The structure of the peptide has been determined from the following observations.
(a) Complete acid hydrolysis of the peptide followed by amino acid analysis yielded equimolar amounts of Leu, Orn, Phe, Pro, and Val. Orn is ornithine, an amino acid not present in proteins but present in some peptides. It has the structure
Structure can't copy
(b) The molecular weight of the peptide was estimated as about 1,200 .
(c) The peptide failed to undergo hydrolysis when treated with the enzyme carboxypeptidase. This enzyme catalyzes the hydrolysis of the carboxyl-terminal residue of a polypeptide unless the residue is Pro or, for some reason, does not contain a free carboxyl group.
(d) Treatment of the intact peptide with 1-fluoro-2,4dinitrobenzene, followed by complete hydrolysis and chromatography, yielded only free amino acids and the following derivative:
Structure can't copy
(Hint: Note that the 2,4-dinitrophenyl derivative involves the amino group of a side chain rather than the $\alpha$-amino group.)
(e) Partial hydrolysis of the peptide followed by chromatographic separation and sequence analysis yielded the following di- and tripeptides (the amino-terminal amino acid is always at the left):
$$
\begin{aligned}
& \text { Leu-Phe Phe-Pro Orn-Leu Val-Orn } \\
& \text { Val-Orn-Leu Phe-Pro-Val Pro-Val-Orn }
\end{aligned}
$$

Given the above information, deduce the amino acid sequence of the peptide antibiotic. Show your reasoning. When you have arrived at a structure, demonstrate that it is consistent with each experimental observation.

Sana Riaz
Sana Riaz
Numerade Educator
05:27

Problem 17

A peptide with the primary structure Lys-Arg-Pro-Leu-Ile-Asp-Gly-Ala is sequenced by the Edman procedure. If each Edman cycle is $96 \%$ efficient, what percentage of the amino acids liberated in the fourth cycle will be leucine? Do the calculation a second time, but assume a $99 \%$ efficiency for each cycle.

Sana Riaz
Sana Riaz
Numerade Educator
01:09

Problem 18

As the newest and least experienced student in a biochemistry research lab, your first few weeks are spent washing glassware and labeling test tubes. You then graduate to making buffers and stock solutions for use in various laboratory procedures. Finally, you are given responsibility for purifying a protein. It is a citric acid cycle enzyme, citrate synthase, located in the mitochondrial matrix. Following a protocol for the purification, you proceed through the steps below. As you work, a more experienced student questions you about the rationale for each procedure. Supply the answers. (Hint: See Chapter 2 for information about osmolarity; see p. 6 for information on separation of organelles from cells.)
(a) You pick up 20 kg of beef hearts from a nearby slaughterhouse. You transport the hearts on ice, and perform each step of the purification on ice or in a walk-in cold room. You homogenize the beef heart tissue in a high-speed blender in a medium containing 0.2 m sucrose, buffered to a pH of 7.2 . Why do you use beef heart tissue, and in such large quantity? What is the purpose of keeping the tissue cold and suspending it in 0.2 m sucrose, at pH 7.2? What happens to the tissue when it is homogenized?
(b) You subject the resulting heart homogenate, which is dense and opaque, to a series of differential centrifugation steps. What does this accomplish?
(c) You proceed with the purification using the supernatant fraction that contains mostly intact mitochondria. Next you osmotically lyse the mitochondria. The lysate, which is less dense than the homogenate, but still opaque, consists primarily of mitochondrial membranes and internal mitochondrial contents. To this lysate you add ammonium sulfate, a highly soluble salt, to a specific concentration. You centrifuge the solution, decant the supernatant, and discard the pellet. To the supernatant, which is clearer than the lysate, you add more ammonium sulfate. Once again, you centrifuge the sample, but this time you save the pellet because it contains the protein of interest. What is the rationale for the two-step addition of the salt?
(d) You solubilize the ammonium sulfate pellet containing the mitochondrial proteins and dialyze it overnight against large volumes of buffered ( pH 7.2 ) solution. Why isn't ammonium sulfate included in the dialysis buffer? Why do you use the buffer solution instead of water?
(e) You run the dialyzed solution over a size-exclusion chromatographic column. Following the protocol, you collect the first protein fraction that exits the column, and discard the rest of the fractions that elute from the column later. You detect the protein by measuring UV absorbance (at 280 nm ) in the fractions. What does the instruction to collect the first fraction tell you about the protein? Why is UV absorbance at 280 nm a good way to monitor for the presence of protein in the eluted fractions?
(f) You place the fraction collected in (e) on a cationexchange chromatographic column. After discarding the initial solution that exits the column (the flowthrough), you add a washing solution of higher pH to the column and collect the protein fraction that immediately elutes. Explain what you are doing.
(g) You run a small sample of your fraction, now very reduced in volume and quite clear (though tinged pink), on an isoelectric focusing gel. When stained, the gel shows three sharp bands. According to the protocol, the protein of interest is the one with the pI of 5.6 , but you decide to do one more assay of the protein's purity. You cut out the pI 5.6 band and subject it to SDS polyacrylamide gel electrophoresis. The protein resolves as a single band. Why were you unconvinced of the purity of the "single" protein band on your isoelectric focusing gel? What did the results of the SDS gel tell you? Why is it important to do the SDS gel electrophoresis after the isoelectric focusing?

Madi Sousa
Madi Sousa
Numerade Educator