Chemistry, Student Solutions Manual Chapter 17 Chapter 17 Macromolecules Solutions to Problems in Chapter 17 17.1 Convert line drawings to structural formulas following the standard rules, adding a C atom at each vertex and line end and adding –H bonds until each C atom has four bonds. Identify functional groups from memory or from Table 17-1 in your textbook: © John Wiley and Sons Canada, Ltd. 330 Chemistry, Student Solutions Manual Chapter 17 17.3 Identify functional groups from memory and convert structures to line drawings following the standard rules: 17.5 Convert line and ball-and-stick drawings to structural formulas following the standard rules, adding a C atom at each vertex and line end and adding –H bonds until each C atom has four bonds. Identify linkage groups from memory or Table 17-1 in your textbook: 17.7 To draw examples of compound types, first identify the chemical formulas of its functional groups. Remember that carbon always forms four bonds. There are many possible correct answers to this problem. We provide just one example for each. (a) An amine contains N bonded to C. One example is the tertiary amine diethylmethylamine: © John Wiley and Sons Canada, Ltd. 331 Chemistry, Student Solutions Manual Chapter 17 (b) An ester contains C–CO2–C. There must be five additional C atoms, arranged in any fashion: (c) The functional group in an aldehyde is O=C–H, M = 29 g/mol. To have a molar mass greater than 80, an aldehyde must contain at least four additional C atoms: (d) The ether linkage is –O–, and phenyl is the benzene ring: 17.9 In a condensation reaction, two monomers react to form a larger unit, eliminating a small molecule such as H2O in the process. (a) The amide linkage in the centre of this molecule forms in a condensation reaction between a carboxylic acid and an amine: © John Wiley and Sons Canada, Ltd. 332 Chemistry, Student Solutions Manual Chapter 17 (b) The ester linkage in this molecule forms in a condensation reaction between a carboxylic acid and an alcohol: (c) The ether linkage in this molecule forms in a condensation reaction between two alcohols: 17.11 All amino acids can condense with one another in two ways. In addition, the extra carboxylic acid of aspartic acid could undergo condensation, so there are three possible products: 17.13 Polymers made from substituted ethylenes form by breakage of the C=C double bond to form two new single C–C bonds to other monomers. In a copolymer, each monomer occurs randomly: 17.15 To deconstruct an alkane polymer into its monomers, break C–C single bonds and form double bonds: © John Wiley and Sons Canada, Ltd. 333 Chemistry, Student Solutions Manual Chapter 17 17.17 Polybutadiene forms from butadiene by a combination of double-bond breakage and migration. The resulting polymer differs from polyethylene in having one C=C double bond in each repeat unit, whereas polyethylene is entirely CH2 units connected by C–C single bonds (each arrow represents shifting one electron): 17.19 To determine the monomers from which a condensation polymer has formed, decompose the polymer into its monomeric parts and add components of a small molecule, for example –H and –OH. Here, the structure shows a single component whose repeat unit is (CH2)10, and the linkage is an amide, which breaks down into an amine and a carboxylic acid: 17.21 Construct polyethylene oxide by breaking a C–O bond and linking the fragments: 17.23 Cross-linking leads to increased rigidity, because chemical bonds between polymer chains restrict the ability of polymer chains to slide past one another. Thus, relatively rigid tires have more extensive cross-linking than flexible surgeon’s gloves. 17.25 The categories of polymers and their characteristic properties are as follows: plastics, which exist as blocks or sheets; fibres, which can be drawn into long threads; and elastomers, which can be stretched without breaking. (a) Balloons must stretch, so they are made of elastomers. (b) Rope is made of fibres. (c) Camera cases are rigid, so they are made of plastics. 17.27 Dioctylphthalate is an example of a liquid plasticizer, which reduces the amount of cross-linking in a polymer as well as adding a fluid component; both these changes result in improved flexibility of the polymer. © John Wiley and Sons Canada, Ltd. 334 Chemistry, Student Solutions Manual Chapter 17 17.29 To draw the structures of sugars that are related to glucose, start with the glucose structure and make modifications as needed. For α-talose, move the OH group on carbons 2 and 4 from down positions to up positions. 17.31 To switch between α and β isomers, move the OH group on carbon 1 from a down position to an up position (or vice versa when going from β to α). To draw βtalose, start with the structure of α-talose from Problem 17.29 and move the OH on carbon 1 from a down position to an up position. 17.33 As described in your textbook, polymers of α-glucose coil upon themselves. Glycogen is this type of polymer. Polymers of β-glucose, of which cellulose is an example, form planar sheets. It is easier to see the distinction between the two polymers by looking at them from a side-on view (as shown). In the drawings, the dark solid lines indicate the direction of the continuing chain: 17.35 The complementary strands of DNA form from hydrogen-bond linkages between specific nucleic acids. A pairs with T, and G pairs with C, so the complementary sequence of A-A-T-G-C-A-C-T-G is T-T-A-C-G-T-G-A-C. © John Wiley and Sons Canada, Ltd. 335 Chemistry, Student Solutions Manual Chapter 17 17.37 The structure of DNA consists of a phosphate–sugar–nucleotide-base trio bonded to others through its phosphate and sugar groups. Apart from the structure of the nucleotide base, each unit is identical: 17.39 The strands of DNA fit together as a result of the hydrogen-bonding interactions illustrated in Figure 17-27. The complementary sequence for A-T-C is T-A-G. The backbones of complementary strands run in opposite directions. For clarity in showing the hydrogen-bonding interactions, we represent the backbone with a solid line rather than showing its details: © John Wiley and Sons Canada, Ltd. 336 Chemistry, Student Solutions Manual Chapter 17 17.41 Consult Figure 17-31 for the structures of the different amino acids, all of which have the same amino acid backbone. 17.43 Hydrophilic side chains are characterized by the presence of N or O atoms that generate polar bonds and hydrogen-bonding capability, or an S–H bond that is polar. Among the structures shown in Problem 17.41, Tyr (O–H bond) and Glu (CO2H group) are hydrophilic, whereas Phe and Met are hydrophobic. 17.45 To identify an amino acid, examine the side chain attached to the carbon atom between the N atom and the C=O bond in the amino acid backbone: (a) The side chain is just –H (hydrophobic), making this glycine, the simplest amino acid. (b) The side chain is –CH2OH (hydrophilic side chain), so this is serine. (c) The side chain is –CH2SH (hydrophilic side chain), so this is cysteine. 17.47 When two amino acids condense, the amino end of either molecule can link to the carboxylic acid end of the other. A water molecule is eliminated, creating a C–N bond. Three amino acids can combine in six different ways: A–B, B–A, A–C, C– A, B–C, and C–B. © John Wiley and Sons Canada, Ltd. 337 Chemistry, Student Solutions Manual Chapter 17 17.49 The repeat unit in polyethylene is the ethylene molecule, C2H4, M = 28.1g/mol, so a polymer with 744 repeat units has M (744)(28.1 g/mol) 2.09 104 g/mol. 17.51 There are four possible choices for each base in a DNA strand, so the number of ways to connect 12 bases is 412 = 16 777 216 (this is an exact number, because 4 is an exact number). 17.53 (a) The monomers from which hair spray is made are substituted ethylenes, which polymerize in a free radical process in which each ethylene has an equal probability of adding to the growing chain. Thus, this polymer will have a random arrangement. (b) The backbone of a polyethylene is a carbon chain with the substituents connected to every other carbon atom. Here is a line structure of six monomer units: (c) The backbone of this polymer is hydrophobic, but its side chains contain highly polar C=O groups that interact with one another and with polar and hydrogenbonding groups on hair. © John Wiley and Sons Canada, Ltd. 338 Chemistry, Student Solutions Manual Chapter 17 17.55 A nucleotide is a combination of one base, one sugar, and one phosphate group. A duplex is a pair of nucleotides bound together by hydrogen-bonding interactions. The second nucleotide in a guanine duplex is cytosine. 17.57 The three steps of free radical polymerization are (1) initiation by a free radical initiator, which generates a new free radical; (2) propagation, in which monomer units add to the free radical end of the polymer chain; and (3) termination, in which two free radical chains link together. The functional group on an ethylene monomer does not participate in any of these processes: 17.59 All sugar molecules have multiple –OH functional groups, each of which can participate in hydrogen-bond formation with water molecules. α-Glucose has five – OH groups; in addition, its ring O atom can participate in formation of hydrogen bonds. © John Wiley and Sons Canada, Ltd. 339 Chemistry, Student Solutions Manual Chapter 17 17.61 Nylons and proteins share one common feature: they form by condensation reactions between carboxylic acids and amines, so their linkages are amide groups. Otherwise, they are quite different. Nylons contain one or at most two different monomers, each of which typically contains several carbon atoms that form part of the backbone of the polymer. Proteins contain backbones that are absolutely regular repetitions of amide–C–amide bonding, but the carbon atoms in the backbone have a variety of substituent groups attached to them, generating the immense variety of different proteins (compared with only a few different nylons). 17.63 Consult your textbook for the structures of the polymers, which indicate the monomers from which they are made: (a) Kevlar is made from terephthalic acid and phenylenediamine. (b) PET is made from ethylene glycol and terephthalic acid. (c) Styrofoam is the common name for polystyrene, so it is made from styrene. 17.65 All polyethylenes have the same empirical formula, (CH2)n, but whereas highdensity polyethylene has all straight chains that nest together readily, low-density polyethylene has many side chains that cannot nest easily. Thus, low-density polyethylene has more open space, accounting for the lower amount of CH2 groups per unit volume. See Figure 17-9 for a visual representation. 17.67 The Watson–Crick model of DNA requires that there be a complementary base for each base in a given strand: one G for every C, one C for every G, one A for every T, and one T for every A. This requires that the molar ratios of A to T and G to C be 1.0. Chargoff’s observations indicate that this relationship holds even though DNA from different sources has different sequences, some A–T rich and others G– C rich. These differences give rise to differences in the relative amounts of A, T vs. G, C, but pairing always results in 1:1 mole ratios of A to T and G to C. 17.69 The bases of the mRNA molecule must be complementary to the bases of the template DNA on which they are modelled, meaning A generates U, C generates G, G generates C, and T generates A (remember that in RNA, U appears rather than T). Thus, the sequence generated by this strand is the same as that of Strand B except that U replaces T: 1 = cytosine, 2 = uracil, 3 = adenine, and 4 = guanine. © John Wiley and Sons Canada, Ltd. 340 Chemistry, Student Solutions Manual Chapter 17 17.71 All proteins contain both hydrophobic and hydrophilic amino acids. When a protein is in contact with a hydrophilic medium such as aqueous solution, its hydrophilic amino acids are most stable when facing outward, in contact with the solvent, whereas its hydrophobic amino acids are most stable when facing inward, in contact with the protein backbone. The opposite is the case when a protein is immersed in a hydrophobic medium such as a cell wall. The tertiary structure of a protein is the manner in which the individual amino acids orient themselves, so solvent interactions are the primary determinants of this tertiary structure. 17.73 To draw the structure of a condensation product, start with the structures of the two molecules undergoing condensation and then connect them together, eliminating a small molecule such as water: 17.75 Polystyrene has the polyethylene backbone of carbon atoms, with a benzene ring attached to every second carbon atom. A divinylbenzene monomer reacts with the growing chain by means of one of its C=C double bonds, leaving the second C=C double bond available to cross-link by becoming incorporated into another polystyrene chain. Thus, the benzene rings form “bridges” between polystyrene chains: 17.77 A cyclic product forms when one end of a monomer molecule can condense with the other end of the same molecule. The monomer illustrated in this problem contains five carbon atoms in addition to its terminal functional groups, so it can easily form a ring containing six carbon atoms and one oxygen atom: © John Wiley and Sons Canada, Ltd. 341 Chemistry, Student Solutions Manual Chapter 17 17.79 To determine which amino acids are used to make a dipeptide, examine the structure of the dipeptide and see what R groups it contains. The amine end of aspartame contains an extra –CH2COOH group, characteristic of aspartic acid; the carboxylic acid end of the molecule contains a benzene side group, characteristic of phenylalanine. 17.81 The structure of lactic acid shows that it is bifunctional, with a carboxylic acid and an alcohol group. These groups can condense to form an ester linkage, so the lactic acid polymer is a polyester: 17.83 When amino acids condense to form polypeptides, each added amino acid reacts to eliminate a water molecule. The chemical formula of alanine is C3H7NO2, and the net reaction to form poly-Ala is n C3H7NO2 → n H2O + (C3H5NO)n. Thus, the empirical formula of this polymer is C3H5NO, M = 71 g/mol. Divide the molar mass of the polypeptide by the molar mass of the empirical formula unit to obtain the number of repeat units: 1.20 × 103 g/mol 17 repeat units of alanine. 71 g/mol 17.85 The monomers from which this alkyd forms are an alcohol with three –OH groups and a carboxylic acid with two –COOH groups. These can condense together, eliminating water molecules to form ester linkages. The third –OH allows the possibility of branching in addition to linear structures, and the 2:3 stoichiometry of alcohol to carboxylic acid indicates that all the functional groups undergo condensation. Here is a small part of the structure, built around one starting alcohol molecule: © John Wiley and Sons Canada, Ltd. 342 Chemistry, Student Solutions Manual Chapter 17 17.87 Polyethylene is a carbon backbone (with two C–H bonds to each C atom). The butadiene–styrene polymer, while also containing an all-carbon backbone, has benzene rings attached at intervals of approximately six carbon atoms, as well as a double bond in the backbone at intervals of approximately six carbon atoms. The extra bulk of the benzene rings and the geometrical changes where the double bonds exist (trigonal planar as opposed to tetrahedral) make it impossible for the carbon chains to stack as closely together in butadiene–styrene as in polyethylene. With less close stacking, the dispersion forces holding the chains together are weaker, so butadiene–styrene is not as rigid as polyethylene. © John Wiley and Sons Canada, Ltd. 343