Problem Set 4: Conformations of alkanes and cycloalkanes ANSWER KEY Chemistry 260 1. Organic Chemistry Order the following conformers from the most stable to the least stable. H H H H H CH3 CH3 A (1) (2) (3) (4) H CH3 CH3 B H H HH C D C is staggered with no gauche interactions. A is also staggered, but has one gauche interaction. B is ecplised, but methyl groups are not eclisped with each D has methyl groups eclisped. Which of the following statements is true? CH3 H3C A (1) (2) (3) CH3 CH3 H H A, C, B, D D, C, A, B C, A, B, D C, B, A, D Answer: 3 Conformer Conformer Conformer other. Conformer 2. H H H H3C CH3 H B Conformer A is less stable than conformer B Conformer A is more stable than conformer B Conformer A and conformer B are of equal energy The answer is (1). Conformer B is more stable. 1 3. Given that the conversion to the lowest energy conformer in Q2 has an equilibrium constant, K = 20, calculate the percentage of B in solution at 298 K. Because B is lower in energy than A (i.e., more stable), B is the major isomer. To calculate the percentage of B in solution: K = 20 K = [B]/[A] Let B = x, then A = 1- x K 20 = = x/(1-x) x/(1-x) x = 0.95 Thus, 95% of the solution is B 4. Name the following compounds: (a) CH3 (b) CH3 (a) methylcyclobutane (b) methylcyclohexane 6 2 1 CH3 5 4 3 5. 4 CH3 1 2 3 Order the following molecules/conformers from the most stable to least stable. The answer is 3. 2 CH3 CH3 (H3C)2HC (H3C)2HC A cis - smaller group axial B trans - both groups axial CH3 CH3 (H3C)2HC (H3C)2HC C cis - larger group axial D trans - both groups equatorial 6. Draw all cyclopentane-containing isomers of dibromocyclopentane. All isomers must contain a cyclopentane ring. Do not draw any compound twice. 7. Draw all of the constitutional isomers of compounds named tribromocyclobutane (all structures contain a cyclobutane ring). Do not draw any isomer twice. 8. Draw compounds A and B in the lowest energy conformations. 3 9. Menthol (below) is one of the most important flavouring chemicals used in pharmaceuticals, cosmetics, toothpaste, chewing gum, etc. A number of possible conformers of menthol exist. Draw the lowest energy chair conformation of the naturally occurring menthol below. 10. Represent the following conformer (shown as a Sawhorse projection) as a Newman projection by completing the template provided. The two projections must be in the same conformation. Answer: 11. An important tool in an organic chemists is the ability to draw various representations of a single structure, particulary cyclic, or ring structures. Below are representations of substituted cyclohexanes. Re-draw structures (a), (b) and (c) as the lowest-energy chair conformation. Re-draw structures (d) and (e) as flat. 4 5