CHEM 633: Advanced Organic Chem: Physical Problem Set 3 ANSWER KEY 1. (a) Please draw the lowest energy conformations of these two methyl-substituted decalins. Me Me H H (b) Estimate the energy difference between the lowest energy conformations. Me CH3 H favored CH3 H CH3 H CH3 H H 4 gauche butane interactions: 4(0.88 kcal/mol) = 3.52 kcal/mol Me CH3 CH3 H CH3 H CH3 H CH3 H H H 5 gauche butane interactions: 5(0.88 kcal/mol) = 4.4 kcal/mol !E = +0.88 kcal/mol 2. Predict the stereochemistry of the product and explain your reasoning. Me Me (i) LiN(i-Pr)2 O O (ii) MeI * Me Me CH3 Me O H Me H N(i-Pr)2 LiO H H CH3 MeI H OLi H 3C H H O O Me Back face is blocked by cyclooctene ring. 1. 3. Edwards, Montoya-Peleaz and Crudden have studied the mechanism of epoxidation of benzaldehyde (B) with sulfonium SM (Org. Lett. 2007, 9, 5481). The general mechanism for this transformation is believed to proceed via sulur ylide 1 and then intermediate 2. N H3C S Ph CH3 BF4 N (DBU) step 1 H3C S Ph CH3 1 SM O PhCHO (B) O Ph Ph step 2 S 2 step 3 Ph Ph P (a) Under pseudo-first-order conditions (large excess of benzaldehyde B and DBU), the authors monitored the disappearance of sulfonium tetrafluoroborate SM. What is the kinetic order of [SM] in this reaction? First order (linear plot of ln[SM] vs time) (b) Under pseudo-first-order conditions, the following data was obtained. In each of these reactions, [B] = 0.0174 M and temperature = 298 K. What is the kinetic order of [DBU]? Entry [DBU] (M) Trendline from plot of ln[SM] vs. time (seconds/100) 1 0.0291 y = –0.0068x – 1.8296 2 0.0751 y = –0.0199x – 1.6405 3 0.113 y = –0.0329x – 1.6278 4 0.156 y = –0.0466x – 6.3816 m Slope of the trendline = –kobs = k [DBU] [B] entry 1 2 3 4 [DBU] (M) 0.0291 0.0751 0.113 0.156 kobs 0.0068 0.0199 0.0329 0.0466 n kobs vs. [DBU] 0.05 y = 0.3159x - 0.0029 R2 = 0.9987 0.045 0.04 0.035 kobs 0.03 0.025 0.02 0.015 0.01 0.005 0 0 0.05 0.1 0.15 0.2 [DBU] (M) Linear relationship between kobs & [DBU], so m = 1… first-order rate dependence on [DBU]. (c) Under pseudo-first-order conditions, the following data was obtained. In each of these reactions, [DBU] = 0.156 M and temperature = 298 K. What is the kinetic order of [B]? Entry 1 2 3 4 5 6 entry 1 2 3 4 5 6 [B] (M) 0.0174 0.0433 0.0866 0.130 0.173 0.260 [B] (M) 0.0174 0.0433 0.0866 0.13 0.173 0.26 kobs 0.0466 0.1103 0.1986 0.2474 0.3022 0.3192 Trendline from plot of ln[SM] vs. time (seconds/100) y = –0.0466x – 6.3816 y = –0.1103x – 1.8947 y = –0.1986x – 1.7842 y = –0.2474x – 1.7569 y = –0.3022x – 1.7994 y = –0.3192x – 1.7368 kobs bs. [B] 0.35 0.3 0.25 kobs 0.2 0.15 0.1 0.05 0 0 0.05 0.1 0.15 0.2 0.25 0.3 [B] (M) Saturation kinetics (first-order at low [B] going to zero-order at high [B]) Answer to (d) 2. 5. 3. 4. 5. 7. (a) (b) (d) (e) (f) (g) (h) (i) 12. 9. 10. 11. (13) (14)