Visualizing Chemistry PROBLEM 6 -14 The following alkyl halide can be prepared by the addition of HBr to two different alkenes. Draw the structures of both (reddish-brown = Br). PROBLEM 6 -15 The following structure represents the carbocation intermediate formed in the addition reaction of HBr to two different alkenes. Draw the structures of both. PROBLEM 6 -16 Electrostatic potential maps of (a) formaldehyde (CH 2 O) and (b) methanethiol (CH 3 SH) are shown. Is the formaldehyde carbon atom likely to be electrophilic or nucleophilic? What about the methanethiol sulfur atom? Explain. (a) (b) PROBLEM 6 -17 Look at the following energy diagram: (a) Is Δ G ° for the reaction positive or negative? Label it on the diagram. (b) How many steps are involved in the reaction? (c) How many transition states are there? Label them on the diagram. PROBLEM 6 -18 Look at the following energy diagram for an enzyme-catalyzed reaction: (a) How many steps are involved? (b) Which step is most exergonic? (c) Which step is the slowest? Energy Diagrams and Reaction Mechanisms PROBLEM 6 -19 What is the difference between a transition state and an intermediate? PROBLEM 6 -20 Draw an energy diagram for a one-step reaction with K eq < 1. Label the parts of the diagram corresponding to reactants, products, transition state, Δ G °, and Δ G ‡ . Is Δ G ° positive or negative? PROBLEM 6 -21 Draw an energy diagram for a two-step reaction with K eq > 1. Label the overall Δ G °, transition states, and intermediate. Is Δ G ° positive or negative? PROBLEM 6 -22 Draw an energy diagram for a two-step exergonic reaction whose second step is faster than its first step. PROBLEM 6 -23 Draw an energy diagram for a reaction with K eq = 1. What is the value of Δ G ° in this reaction? PROBLEM 6 -24 The addition of water to ethylene to yield ethanol has the following thermodynamic parameters: (a) Is the reaction exothermic or endothermic? (b) Is the reaction favorable (spontaneous) or unfavorable (nonspontaneous) at room temperature (298 K)? PROBLEM 6 -25 When isopropylidenecyclohexane is treated with strong acid at room temperature, isomerization occurs by the mechanism shown below to yield 1-isopropylcyclohexene: At equilibrium, the product mixture contains about 30% isopropylidenecyclohexane and about 70% 1-isopropylcyclohexene. (a) What is an approximate value of K eq for the reaction? (b) Since the reaction occurs slowly at room temperature, what is its approximate Δ G ‡ ? (c) Draw an energy diagram for the reaction. PROBLEM 6 -26 Add curved arrows to the mechanism shown in Problem 6-25 to indicate the electron movement in each step. PROBLEM 6 -27 Draw the complete mechanism for each of the following polar reactions. (a) (b) (c) PROBLEM 6 -28 Use curved arrows to show the flow of electrons, and draw the carbon radical that is formed when the halogen radicals below add to the corresponding alkenes. (a) (b) (c) Polar Reactions PROBLEM 6 -29 Identify the functional groups in the following molecules, and show the polarity of each: (a) (b) ( c ) ( d ) (e) (f) PROBLEM 6 -30 Identify the following reactions as additions, eliminations, substitutions, or rearrangements: (a) (b) (c) (d) PROBLEM 6 -31 Identify the likely electrophilic and nucleophilic sites in each of the following molecules: (a) (b) PROBLEM 6 -32 Identify the electrophile and the nucleophile. (a) (b) (c) PROBLEM 6 -33 Add curved arrows to the following polar reactions to indicate the flow of electrons in each: (a) (b) PROBLEM 6 -34 Follow the flow of electrons indicated by the curved arrows in each of the following polar reactions, and predict the products that result: (a) (b) (c) (d) Radical Reactions PROBLEM 6 -35 Radical chlorination of pentane is a poor way to prepare 1-chloropentane, but radical chlorination of neopentane, (CH 3 ) 4 C, is a good way to prepare neopentyl chloride, (CH 3 ) 3 CCH 2 Cl. Explain. PROBLEM 6 -36 Despite the limitations of radical chlorination of alkanes, the reaction is still useful for synthesizing certain halogenated compounds. For which of the following compounds does radical chlorination give a single monochloro product? (a) CH 3 CH 3 (b) CH 3 CH 2 CH 3 (c) (d) (e) (f) PROBLEM 6 -37 Draw the different monochlorinated constitutional isomers you would obtain by the radical chlorination of the following compounds. (a) (b) ( c ) PROBLEM 6 -38 Answer question 37 taking all stereoisomers into account. PROBLEM 6 -39 Show the structure of the carbocation that would result when each of the following alkenes reacts with an acid, H<sup">+. (a) (b) (c) General Problems PROBLEM 6 -40 2-Chloro-2-methylpropane reacts with water in three steps to yield 2-methyl-2-propanol. The first step is slower than the second, which in turn is much slower than the third. The reaction takes place slowly at room temperature, and the equilibrium constant is approximately 1. (a) Give approximate values for Δ G ‡ and Δ G ° that are consistent with the above information. (b) Draw an energy diagram for the reaction, labeling all points of interest and placing relative energy levels on the diagram consistent with the information given. PROBLEM 6 -41 Add curved arrows to the mechanism shown in Problem 6-40 to indicate the electron movement in each step. PROBLEM 6 -42 The reaction of hydroxide ion with chloromethane to yield methanol and chloride ion is an example of a general reaction type called a nucleophilic substitution reaction: HO − + CH 3 Cl ⇄ CH 3 OH + Cl − The value of Δ H ° for the reaction is −75 kJ/mol, and the value of Δ S ° is +54 J/(K·mol). What is the value of Δ G ° (in kJ/mol) at 298 K? Is the reaction exothermic or endothermic? Is it exergonic or endergonic? PROBLEM 6 -43 Methoxide ion (CH 3 O − ) reacts with bromoethane in a single step according to the following equation: Identify the bonds broken and formed, and draw curved arrows to represent the flow of electrons during the reaction. PROBLEM 6 -44 Ammonia reacts with acetyl chloride (CH 3 COCl) to give acetamide (CH 3 CONH 2 ). Identify the bonds broken and formed in each step of the reaction, and draw curved arrows to represent the flow of electrons in each step. PROBLEM 6 -45 The naturally occurring molecule α -terpineol is biosynthesized by a route that includes the following step: (a) Propose a likely structure for the isomeric carbocation intermediate. (b) Show the mechanism of each step in the biosynthetic pathway, using curved arrows to indicate electron flow. PROBLEM 6 -46 Predict the product(s) of each of the following biological reactions by interpreting the flow of electrons as indicated by the curved arrows: (a) (b) (c) PROBLEM 6 -47 Reaction of 2-methylpropene with HBr might, in principle, lead to a mixture of two alkyl bromide addition products. Name them, and draw their structures. PROBLEM 6 -48 Draw the structures of the two carbocation intermediates that might form during the reaction of 2-methylpropene with HBr (Problem 47). We’ll see in the next chapter that the stability of carbocations depends on the number of alkyl substituents attached to the positively charged carbon—the more alkyl substituents there are, the more stable the cation. Which of the two carbocation intermediates you drew is more stable?