exam1_WHITE_BCHM461-0102_OFFICIAL_KEY_Fall2022

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Dec 6, 2023

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BCHM 461-0102 Name: Official Key (WHITE exams) October 10, 2022 Prof. Julin Exam I (100 points) NOTE: read the questions carefully, think about your answers, and, be sure that you answer all parts of the questions. Provide specific information that answers the question being asked. Always show your work or explain your reasoning. You may use a calculator, but only for computation. Any other use is a violation of the University’s Code of Academic Integrity . No other electronic equipment may be used - that is, turn off your cell phone ! Honor Pledge Please write the following sentence in the box, and then sign your name: “I pledge on my honor that I have not given or received any unauthorized assistance on this examination.” Some equations and formulas which might (or might not) be useful: a) Quadratic formula. For: ax 2 + bx + c = 0 x = ! b ± ( b 2 ! 4ac ) ½ 2a b) K w = [H + ][OH ! ] = 10 ! 14 c) K a = [H + ][A ! ]/[HA] pH = pK a + log([A ! ]/[HA]) d) Δ G = Δ H ! T Δ S e) Δ G = Δ G EN + RT ln{[ products ]/[ reactants ]} f) K eq = exp( ! Δ G EN /RT) g) Δ G EN = ! RTln(K eq ) K eq = [products] / [reactants] h) R = 8.3 J/K/mol = 0.0083 kJ/K/mol i) T (K) = T ( E C) + 273 j) E % Q 1 Q 2 / ε r k) fr dissoc Ka H Ka H pH pKa pH pKa . . [ ] [ ] ( ) ( ) 1 10 10 1 l) m / z = (MW + nH)/n H = 1.008 m) c = Abs / ε ( Beer’s Law ) n) ε 280 = (# Trp) × 5,500 + (# Tyr) × 1,490
1. (20 points) Given below are the names of five recipients of a Nobel Prize (in various fields). i) (4 pts) Consider only the last names (written in capital letters). Which of these last names could also be a peptide, written in single-letter code? Explain briefly and specifically why the other last names cannot be a peptide. 1) (Ei-ichi) N E G I S H I 2) (David) B A L T I M O R E 3) (Venkatraman) R A M A K R I S H N A N 4) (Doris) L E S S I N G 5) (Gabriel Garcia) M A R Q U E Z Answer: The 6 letters in the alphabet that do not stand for an amino acid are: B, J, O, U, X, Z. So, David Baltimore (Physiology or Medicine, 1975) and Gabriel Garcia Marquez (Literature, 1982) are NOT also peptides. Ei-ichi Negishi (Chemistry, 2010), Venkataraman Ramakrishnan (Chemistry, 2009), and Doris Lessing (Literature, 2007) are also peptides (whether they know it or not). ii) (16 pts) Pick ANY ONE of the last names given above that could be a peptide. Draw the complete structure of four consecutive residues from that last name, as a tetrapeptide. Your drawing must fit the following conditions: a) The amino acid that is the first letter of the name must be at the amino terminus of your peptide. b) Use the letters (amino acids) in the order (left-to-right) that they appear in the name, but DO NOT use the same amino acid twice! Skip a repeated letter and use the next one. c) Do not use A or G (too simple!). d) Draw the peptide structure in the form that would predominate in a solution at pH = 7 . e) Write the 3-letter abbreviations of the four amino acids that you have drawn (fill in the blanks, below). The name that you chose: _____________ 3-letter abbreviations: (N-term) - _____ - _____ - _____ - _____ Answer: See the textbook for amino acid structures and 3 letter abbreviations. In addition to points deducted for an incorrect structure or incorrect protonation, points were deducted for: 1) an incorrect 3-letter abbreviation, 2) using A (alanine) and/or G (glycine) in your structure, 3) the peptide did not start with the amino acid that corresponds to the first letter in the last name, 4) a letter in the name that is an amino acid was skipped and omitted from the peptide structure. 2
2. (5 points) The table given below lists information about four proteins - proteins 1 - 4 . 1) The last row in the table gives the number of protein chains in the native form of these proteins. 2) The second-to-the-last row gives the total number of amino acid residues in one chain of each protein. 3) The rest of the table lists the number of each amino acid residue in one chain of each protein. protein 1 protein 2 protein 3 protein 4 Amino acid # # # # Alanine 83 28 26 56 Arginine 44 34 12 26 Asparagine 29 22 21 3 Aspartic acid 59 25 22 19 Cysteine 4 11 3 3 Glutamic acid 36 40 25 19 Glutamine 26 21 10 6 Glycine 60 22 27 21 Histidine 14 11 11 12 Isoleucine 41 26 19 10 Leucine 65 40 26 25 Lysine 25 25 19 5 Methionine 19 13 8 7 Phenylalanine 23 20 13 6 Proline 34 23 11 14 Serine 34 25 13 17 Threonine 48 21 17 14 Tryptophan 10 0 4 3 Tyrosine 16 24 15 3 Valine 59 38 28 24 # residues: 729 469 330 293 # chains: 1 2 6 3 Suppose that you analyzed these four proteins by polyacrylamide gel electrophoresis in the presence of SDS (SDS-PAGE). Which protein would move the farthest in the gel? Explain briefly how you decided. Answer: The individual chains of a protein separate when a protein is treated with SDS (detergent) to be run on SDS-PAGE. The mobility of proteins in SDS-PAGE depends on the molecular weight of their individual chains. The molecular weights of these proteins is correlated with the number of amino acid residues in the individual chains. Protein 4 has the fewest amino acids in each chain, so protein 4 runs farthest in the gel. 3
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3. (10 points) The table given below lists information about three more proteins. The table contents are the same as for the previous question. protein A protein B protein C Amino acid # # # Alanine 83 74 77 Arginine 44 21 57 Asparagine 29 25 8 Aspartic acid 59 27 23 Cysteine 4 11 6 Glutamic acid 36 41 58 Glutamine 26 14 18 Glycine 60 50 53 Histidine 14 17 15 Isoleucine 41 32 9 Leucine 65 50 76 Lysine 25 28 13 Methionine 19 9 7 Phenylalanine 23 16 33 Proline 34 30 55 Serine 34 15 24 Threonine 48 35 19 Tryptophan 10 9 22 Tyrosine 16 16 27 Valine 59 43 45 # residues: 729 563 645 # chains: 1 1 1 Estimated charges: A B C +44 +21 +57 (Arg) ! 59 ! 27 ! 23 (Asp) ! 0.4 ! 1.1 ! 0.6 (Cys) ! 36 ! 41 ! 58 (Glu) +1.4 +1.7 +1.5 (His) +25 +28 +13 (Lys) ! 25 ! 18.4 ! 10.1 :total charge Suppose that you ran a mixture of these three proteins on an ion exchange chromatography column in which the column beads are positively-charged . Which protein would elute last from the column? Explain how you decided. Answer: The protein with the greatest net negative charge will elute last from the column. Estimate the net charge on each protein by assuming that all Arg and Lys residues are positively charged and all Asp and Glu are negatively charged, at pH 7. Each His has an average charge of about +0.1 at pH 7, and each Cys has charge of ! 0.1. The Tyr residues can be ignored because they are almost completely protonated at pH = 7 and do not contribute any significant charge. See estimates of the net charges given above. Protein A elutes last from the column since it has the greatest net negative charge. 4
4. (5 points) Here are the last four proteins. The table contents are the same as for the previous two questions. protein I protein II protein III protein IV Amino acid # # # # Alanine 59 28 47 8 Arginine 36 20 16 16 Asparagine 34 13 30 6 Aspartic acid 47 16 24 15 Cysteine 12 1 14 1 Glutamic acid 42 21 35 21 Glutamine 28 16 13 7 Glycine 72 35 34 19 Histidine 24 2 18 8 Isoleucine 56 27 24 11 Leucine 64 43 49 30 Lysine 52 18 38 13 Methionine 10 8 11 9 Phenylalanine 23 8 27 13 Proline 42 11 26 18 Serine 38 14 49 17 Threonine 45 9 24 15 Tryptophan 9 7 3 2 Tyrosine 20 6 21 11 Valine 41 18 45 17 # residues: 754 321 548 257 # chains: 1 1 1 1 Suppose you have four aqueous solutions, each of which contains only one of the four proteins. The protein concentrations are the same in the four solutions. You measure the absorbance at 280 nm (A 280 ) of each solution. Which protein solution would have the greatest A 280 ? Explain briefly how you decided. Answer: The relation of protein concentration (c) to A 280 is given by Beer’s law: c = A 280 / ε 280 . The ε 280 of a protein is due to absorbance by the Trp and Tyr residues in the protein, and Trp contributes greater absorbance than does Tyr. The solution that contains Protein I would have the greatest A 280 . 5
5. (15 points) Suppose that you have four aqueous solutions that each contain a different amino acid: Solution 1: Aspartic Acid pH = 2 Solution 3: Cysteine pH = 9 Solution 2: Histidine pH = 9 Solution 4: Tyrosine pH = 7 Each solution is buffered to the given pH value. The total concentration of amino acid is the same in each solution. Consider ONLY the side chains of these amino acids in answering the following questions. i) Which amino acid side chain has the largest value of the fraction dissociated in these solutions? Show your work or explain briefly how you decided. Answer: The fraction dissociated of an acid is greatest when the pH is above the pKa of the acid. The pH of solution 2 (pH = 9) is above the pKa of the acid (His side chain, pKa = 6) by the greatest amount, of the four solutions, so histidine (solution 2) has the largest fraction dissociated. ii) For which amino acid is the ratio [A-]/[HA] the smallest ? Show your work or explain briefly how you decided. Answer: The [A G ]/[HA] ratio is small when pH is below the pKa, so the [A G ] is small and [HA] is large. The pH of solution 4 (pH 7) is below the pKa of the acid (Tyr side chain, pKa = 10.07) by the greatest amount, so tyrosine (solution 4) has the smallest [A-]/[HA] ratio. iii) Consider the total charge in each solution (due only to the charges on the side chains). Which solution has greatest overall charge ? Show your work or explain briefly how you decided. Answer: The charge on an acid depends on its fraction dissociated (i.e., pKa relative to pH), AND on whether the dissociated form (conjugate base) or the undissociated form (the acidic form) has the charge. The answer is cysteine (solution 3): the pH is greater than the pKa of cysteine and the conjugate base is charged. You can also calculate exact answers to these questions using equations covered in class: aa pH pK fr. dissoc [A-]/[HA] charge Asp 2 3.65 0.022 0.022 -0.022 His 9 6 0.999 1000 +0.001 Cys 9 8.18 0.87 6.6 -0.87 Tyr 7 10.07 0.00085 0.00085 -0.00085 6
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6. (12 points) i) (3 pts) The figure, below, is a MALDI mass spectrum obtained with a purified protein. This particular protein sample gave three peaks in the mass spectrum. The m / z values of the three peaks are shown on the figure. Calculate the molecular weight (MW) of the pure protein that was used in the experiment. Show your work or explain briefly how you arrived at your answer. Answer: The most likely interpretation of the MALDI spectrum is that the protein ions in the three peaks have charges ( z ) of +1, +2, and +3 (see the figure). So, the molecular weight of the protein is MW = 78,000 . ii) The figure, below, shows an ESI mass spectrum that was obtained with the same purified protein as was used for the mass spectrum shown in part (i), above. ii.a) (5 pts) The (m/z) value is given for one protein ion in the ESI spectrum. Calculate the value of the charge ( z ) on that same protein ion. Show your work. Answer: Use ( m / z ) = [MW + n(H)]/n (H = 1.008) Solve algebraically for n (= z for that peak): n = MW /(( m / z ) - H) n = 78,000/2600 = 30 ii.b) (4 pts) Calculate the ( m / z ) value and the charge ( z ) for the unknown protein ion in the peak that is indicated by the “?” in the figure. Show your work. Answer: The charge on peaks in an ESI mass spectrum increases from right to left. The ion in the unknown peak has n = 33 . The ( m / z ) of the unknown peak can be calculated from ( m / z ) = [MW + n(H)]/n : ( m / z ) = [78,000 + 33*1.008]/33 = 2364.64 7
7. (8 points) The figures given below, left, show parts of a peptide, drawn so that the Phi or Psi angle can be estimated. The other figure is the Ramachandran plot that was shown in class. i) Identify one pair of figures (one figure that shows Phi and one figure that shows Psi) that would be for an amino acid residue that is in the forbidden part of the Ramachandran plot. Explain, briefly , how you decided. Answer: Estimate the angle values from the figures: Fig angle Fig angle 1 Phi . ! 60 E 5 Psi . +150 E 2 Phi . ! 80 E 6 Psi . ! 150 E 3 Phi . ! 100 E 7 Psi . ! 45 E 4 Phi . +120 E 8 Psi . +45 E The angle in Figure 4 (Phi . +120 E ) is in the forbidden part of the plot, regardless of the Psi angle. The angle in Figure 6 (Psi . ! 150 E ) is in the forbidden part of the plot, regardless of the Phi angle. ii) Identify one pair of figures (one Phi, one Psi) for a residue that could be in an alpha- helix . Explain, briefly , how you decided. Answer: Figure 1 (Phi . ! 60 E ) and Figure 7 (Psi . ! 45 E ) are closest to the area on the plot where an alpha-helix is found. 8
8. (8 points) The amino acid sequence written below is part of the human β -globin protein. The arrows indicate four hypothetical mutations that might occur in the protein, where a different amino acid is substituted for the one that is normally found at the indicated positions in the sequence. Î Arg Ï Asn ƒ ƒ Met-Val-His-Leu-Thr-Pro-Glu-Glu-Lys-Ser-Ala-Val-Thr-Ala-Leu-Trp-Gly-Lys-Val- Ð Ser ƒ Asn-Val-Asp-Glu-Val-Gly-Gly-Glu-Ala-Leu-Gly-Arg-Leu-Leu-Val-Val-Tyr-Pro-Trp- Ñ Met Amino acid sequence changes (i.e., mutations) can affect the stability of a folded protein, and can cause a protein to unfold under physiological conditions. Which one of the four mutations shown above would you predict would have the greatest effect on the stability of the folded protein? Explain how you decided. Answer: A mutation in which the mutated amino acid is very different from the original amino acid will have the greatest effect on the stability of the folded protein. The four mutations: Î change one positively-charged residue (Lys) to another (Arg), Ï change a small, polar and uncharged residue (Thr) to another polar, uncharged, residue (Asn), Ð change a hydrophobic residue (Val) to a smaller polar, uncharged, residue (Ser). Ñ change a large non-polar (hydrophobic) residue (Leu) to another non-polar residue (Met). Mutation Ð (Val changed to Ser) would have the greatest effect on the stability of the folded protein. The Val is most likely in the interior of the folded protein. Ser is more polar and soluble in water and would want to remain on the surface of the protein where it could interact favorably with water. This would prevent the protein from folding into its normal structure. If the protein were to fold with the Ser in the interior, that is likely to be unstable since it is unlikely that there would be hydrogen-bonding groups in the vicinity of the Ser, since Val does not form hydrogen bonds. 9
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9. points (17 pts) i) (5 pts) Suppose that the peptide shown below were in an alpha-helix . One main chain carbonyl group is indicated by an arrow. Draw an arrow to indicate the specific atom to which the indicated carbonyl group forms a hydrogen bond in the alpha helix. Explain briefly how you decided. Answer: There are 3.6 amino acid residues in one turn of an alpha helix - i.e., more than 3 but less than 4. The carbonyl group of residue i (i.e., the carbonyl indicated by the arrow) would form a H-bond to the N ! H group of residue i + 4 - see the arrow on the right side in the figure. ii) (6 pts) Draw a circle around one group of atoms that all lie in the same plane with each other in the structure drawn below. Explain briefly why those atoms are co-planar. Answer: The atoms in the peptide bond and the two C-alpha bound to the carbonyl-C and the N ! H are all constrained to be in the same plane. One set of these six atoms is circled in the figure, above. These atoms are co-planar due to the fact that the carbonyl-C, carbonyl-O, and N are all sp 2 hybridized, and the electrons are delocalized in the p-orbitals on those atoms. The indicated six atoms must be co-planar to allow that delocalization of electrons. Question #9 continues on the next page . . . 10
Question #9, continued iii) (3 pts) Draw a box around all atoms that constitute one complete amino acid residue in the figure, below. iv) (3 pts) Draw arrows in the figure, below, to label the bonds that you must use to determine the value of the Phi angle. 11
BCHM461 0102 (MW) 12
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