Useful Information: order Rate Law Integrated form plot slope k (units) half-life 0 rate = k [A]t - [A]0 = -kt [A] vs. t -k mol/L s t1/ 2 [ A] 0 2k 1 rate = k[A] ln[A]t - ln[A]0 = -kt ln[A] vs. t -k 1/s t1/ 2 ln 2 k 2 rate = k[A]2 1/[A]t - 1/[A]0 = kt 1/[A] vs. t k L/mol s t1/ 2 1 k[A] 0 Arrhenius equation: k = pze Ea / RT R = 8.314 J/K mol k = Ae Ea / RT K = °C + 273 ln k = ln A - Ea/RT ln (k2/k1) = (Ea/R)(1/T1 - 1/T2) The following experimental data were obtained by measuring the initial rate of the reaction shown below, under a variety of experimental conditions: 2 MnO4- + 5 C2H2O4 + 6 H+ → 2 Mn2+ + 10 CO2 + 8 H2O [MnO4-] (M) [C2H2O4] (M) Expt 1.0 x 10-3 2.0 x 10-3 2.0 x 10-3 1.0 x 10-3 1 2 3 4 1.0 x 10-3 1.0 x 10-3 2.0 x 10-3 2.0 x 10-3 [H+] (M) Initial Rate (Ms-1) 2.0 x 10-4 8.0 x 10-4 1.6 x 10-3 4.0 x 10-4 1.0 1.0 1.0 2.0 1. (4) Which of the following is the correct rate law? a) b) c) d) e) rate = k [MnO4-]2 [C2H2O4] [H+]2 rate = k [MnO4-]2 [C2H2O4]2 [H+] rate = k [MnO4-]2 [C2H2O4] rate = k [MnO4-]4 [C2H2O4]2 rate = k [MnO4-]2 [C2H2O4]5 [H+]6 2. (3) The initial rate was measured as the change in concentration of MnO4with time. Determine the initial rate of the reaction in experiment 3, if it were measured as the change in concentration of C2H2O4 with time. a) 1.6 x 10-4 Ms-1 d) 4.0 x 10-3 Ms-1 b) 8.0 x 10-5 Ms-1 e) 1.6 x 10-2 Ms-1 c) 3.2 x 10-3 Ms-1 3. (4) At 25oC, the rate constant for this reaction is 2.00 x 105 M-2s-1. The reaction has an activation energy, Ea, of 52.9 kJ/mol. What is the rate constant at 35oC? a) 1.00 x 105 M2-s-1 b) 3.00 x 105 M-2s-1 c) 4.00 x 105 M-2s-1 d) 6.00 x 105 M-1s-1 e) 8.00 x 105 M-1s-1 -1- 4. (4) The reaction: A→B+C is second order in A. When [A]o = 0.100 M, the reaction is 20.0% complete in 40.0 minutes. What is the value of the rate constant, k, in M-1min-1? a) 5.58 x 10-3 d) 12.0 b) 6.25 x 10-2 e) 16.0 c) 1.00 5. (3) Nitrogen dioxide (NO2) reacts with carbon monoxide (CO) in the following reaction. NO2 + CO NO + CO2 Experimentally, the rate law was determined to be second order in NO2 and zero order in CO. Which of the following mechanisms (a-d) explain the overall stoichiometry and rate law for this reaction? a) step 1 step 2 NO2 + NO2 N2O4 N2O4 + CO NO + NO2 + CO2 (fast) (slow) b) step 1 step 2 NO2 NO + O O + CO CO2 (slow) (fast) c) step 1 step 2 NO2 NO + O O + CO CO2 (fast) (slow) d) step 1 step 2 NO2 + NO2 NO3 + NO NO3 + CO NO2 + CO2 (slow) (fast) e) None of the mechanisms (a-d) explain the rate law and stoichiometry 6. (3) Which of the following statements about catalysis is always true? a) b) c) d) e) Ea forward reaction = Ea reverse reaction Ea catalyzed reaction = Ea uncatalyzed reaction H catalyzed reaction = H uncatalyzed reaction Keq catalyzed reaction < Keq uncatalyzed reaction Ea catalyzed reaction > Ea uncatalyzed reaction -2- An inorganic redox reaction proceeds via the following mechanism. Use this information to answer the next three (3) questions. step 1 (fast) Ag+ + Ce4+ Ag2+ + Ce3+ step 2 (slow) Tl+ + Ag2+ Tl2+ + Ag+ step 3 (fast) Tl2+ + Ce4+ Tl3+ + Ce3+ 7. (3) What are the units of the overall rate constant, k? a) s-1 b) Ms-1 c) M-1s-1 d) M2s-1 e) M-2s-1 8. (3) Which of the following reaction coordinates best describes the path of this reaction? a) b) P.E. c) P.E. reaction coordinate d) P.E. reaction coordinate reaction coordinate e) more information is needed P.E. reaction coordinate 9. (3) Properly identify each of the following species: a) b) c) d) e) reactant Ag+ Ce4+ Ag2+ Tl+ Tl2+ product Tl3+ Tl3+ Tl2+ Ce3+ Ag2+ intermediate catalyst Ce3+ Tl2+ 2+ Tl none 3+ Ce Tl+ 2+ Ag Ag+ Ag+ none -3- Use the mechanism shown below to answer the next question. 10. (3) Which of the following statements is false? step 2 step 1 product A I + HBr product B II a) b) c) d) e) The major product is 3-bromo-2,3-dimethylpentane I is the intermediate for the minor product II is a tertiary carbocation The nucleophile in step 1 is the electrons The H+ from the HBr acts as a catalyst in this reaction Shown below is the structure of histidine, one of the essential amino acids. Use this structure, and the labeled atoms in it, to answer the next three (3) questions. 1 N NH2 2 3 N H 4 C HO 5 O 11. (3) What is the hybridization of each of the marked atoms? a) b) c) d) e) 1 sp sp2 sp2 sp3 sp2 2 sp2 sp3 sp2 sp2 sp2 3 sp3 sp3 sp3 sp2 sp3 4 sp3 sp3 sp3 sp2 sp3 5 sp2 sp2 sp2 sp sp 12. (3) Which of the marked atoms corresponds to the energy diagram below? a) 1 b) 2 c) 3 d) 4 E 13. (3) How many stereocenters are present in this molecule? a) 0 b) 1 c) 2 d) 3 e) 4 -4- e) 5 14. (4) How many different monobrominated products are made in the reaction, in the presence of uv light? 2,3-dimethylpentane + Br2 → C7H15Br + HBr a) 3 b) 4 c) 5 d) 6 e) 7 15. (3) Which of the following compounds shows the most stable conformation of the major product of the reaction: 1,2-dibromocyclohexene + H2/Pt Br Br Br Br Br c) b) a) Br Br Br Br Br e) d) 16. (4) What is the correct IUPAC name for the compound shown below: a) b) c) d) e) 3-sec-butyl-6-tert-butyl-2-methyloctane 7-tert-butyl-4-isopropyl-3-methylnonane 3,6,7-triethyl-2,2-dimethyloctane 3-ethyl-6-isopropyl-2,2,7-trimethylnonane 6-sec-butyl-3-tert-butyl-7-methyloctane -5- 17. (3) Which of the pairs of compounds below shows the correct relative boiling points? higher boiling point F F lower boiling point Cl Cl C C Cl Cl Cl H Cl F a) b) F C C Cl C C H C C Cl H CH3 CH3 c) H CH3 C CH3 CH3 CH CH2 CH3 CH3 CH3 d) CH3 CH2 CH2 CH3 CH3 CH CH2 CH2 CH3 CH3 e) 18. (4) What is the correct IUPAC name for the molecule shown below? a) b) c) d) e) cis-3-propyl-4-octene trans-3-propyl-5-nonene cis-4-propyl-3-octene trans-4-propyl-3-octene trans-4-butyl-3-heptene -6- Use the following structures to answer the next two (2) questions: 3) 2) 1) 4) 5) 19. (3) Which of these compounds can exhibit geometric isomerism? a) 1 b) 2 c) 3 d) 4 e) 5 20. (3) Which of these compounds are structural isomers of each other (same formula)? a) 1 and 2 b) 1 and 4 c) 2 and 3 d) 2 and 5 e) 4 and 5 21. (3) The acid catalyzed hydration reaction of a particular diene yields four different products. The least abundant (minor) product is shown below: OH + reactant + 2 H2O H HO (minor product) The reactant is: a) c) b) e) d) -7- 22. (3) Which of the following compounds shows the major product of the following reaction, carried out in the dark: 1-methylcyclohexene + Br2 a) Br b) Br Br c) Br Br Br d) Br Br e) none of the above 23. (3) What is the correct, IUPAC name for the reactant in the polymerization reaction that produces the following product ( ignore geometric isomerism). CH3 Br CH3 Br CH3 C C C C C Br CH2 Br CH2 Br CH3 a) b) c) d) e) 3,4-dibromo-3-pentene 1,2-dibromo-1-pentene 2,3-dibromo-2-pentene 1,2-dibromo-1-butene 2,3-dibromo-2-butene -8- CH3 n 24. (4) The following diol undergoes a two step process, a dehydration, followed by a hydration. If only major products are formed, which of the following diols represents the final product? OH + + H /H2O H , dry a) OH product diene OH b) OH c) OH OH OH OH d) e) OH OH OH OH In answering the following four (4) questions, consider the compounds I – VI and the reagents a-d. O OH OH I III II O OH O OH IV V VI a) NaBH4 b) MnO4c) H2/Pt d) LiAlH4 e) none of the reagents alone will allow this reaction to take place 25. (3) Treatment with which reagent will convert IV III? 26. (3) Treatment with which reagent will convert II III? 27. (3) Treatment with which reagent will convert I VI? 28. (3) Treatment with which reagent will convert V II? -9- 29. (3) Given the following molecule, categorize it and describe what reactant molecule(s) were used in its synthesis. product a) b) c) d) e) O OH reactant ketal hemi-ketal hemi-acetal acetal hemi-acetal 5-hydroxy-3,3,4-trimethyl-2-hexanone 5-hydroxy-3,3,4-trimethyl-2-pentanone 5-hydroxy-4,4-dimethylhexanal 5-hydroxy-3,3,4-trimethyl-pentanal 5-hydroxy-3,3,4-trimethylpentanal 30. (3) Which of the following chemical species (I - VII) are required to best carry out the reaction leading the formation of the product shown below? I. 2-methylbutanol II. 2-methylpropanoic acid III. 2-pentanol IV. 2-methylbutanoic acid V. 2-methylpropanol VI H+/dry VII H+/H2O O O a) I, II and VI d) IV, V and VII b) II, III and VI e) II, III and VII c) IV, V and VI 31. (4) Which of the following reactions will not proceed as written? O a) + H OH OH b) + O O + H2 O O + H , H 2O O O c) O activator + + 2 OH O N + H2 O N OH d) all of them will proceed as written e) none of them (a-c) will proceed as written -10- Use the five structures shown below to answer the next three (3) questions. OH O N O N OH O I O IV III II 32. (3) Assuming that all five compounds have comparable molecular weights. Predict order for the boiling points for these compounds, from highest to lowest, based on the strength of the IMF. a) b) c) d) e) III > II > IV > V > I IV > III > II > I > V III > II > V > IV > I IV > III > I > V > II III > IV > V > II > I 33. (3) Which of these compounds are structural isomers of each other? a) I and II b) I and III c) II and III d) IV and V e) none of them 34. (3) Which of these would you expect to be least soluble in water? a) I b) II c) III d) IV e) V 35. (3) What combination of reagents (I - VI) can convert the reactant completely to the product in a two step process? O A B OH O I NaBH4 V LiAlH4 a) b) c) d) e) A IV III V II III II H+ (dry) III H+/H2O VI CH3OH/H+ B VI V II V I -11- IV Cr2O72- V Answer Key 1. c 2. d 3. c 4. b 5. d 6. c 7. c 8. e 9. d 10. e 11. c 12. a 13. b 14. d 15. b 16. d 17. c 18. c 19. e 20. a 21. 22. 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. a d c a e c b e c b e b b e b