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4.E: Reactions of Alkanes (Exercises)

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    201122
  • These are homework exercises to accompany Chapter 3 of Vollhardt and Schore's "Organic Chemistry" Textmap.

    3.11: Combustion and the Relative Stabilities of Alkanes

    Problems

    Q15

    Indicate whether each Hydrogen present is primary, secondary, or tertiary. Why is quaternary not an option?

    (a) ethane (b) 2,2-dimethylpropane (c) 1-methylcyclobutane

    Q16

    In each pair of radicals, determine whether the radical is primary, secondary, or tertiary and also decide which radical is more favorable. Give the general reason why for all of the cases.

    (a) (b) (c)

    Q17

    Draw the electron pushing arrow mechanism for all possible pyrolysis radicals that can form from butane, assuming only C-C bonds are broken. What type of bond cleavage is this, heterolytic or homolytic?

    Q18

    Draw all the possible pyrolysis radical products for 2-methylbutane, and determine which bond is most likely to be broken.

    Q19

    Calculate the ΔHo (kJ/mol) of the following reactions using the given bond dissociation energies.

    Bond Dissociation Energies (Homolytic) ΔHo (kJ/mol)
    CH3-H (methane) 439
    C2H5-H (ethane) 423
    (CH3)3C-H 404
    H-H 435
    H-Cl 431
    H-Br 364
    CH3-Cl 356
    CH3-Br 293
    C2H5-Cl 352
    C2H5-Br 293
    (CH3)3C-Cl 356
    (CH3)3C-Br 297
    Cl-Cl 242
    Br-Br 192

    (a) CH4 + Cl2 → CH3Cl + HCl (b) CH4 + Br2 → CH3Br + HBr

    (c) C2H6 + Cl2 → C2H5Cl + HCl (d) C2H6 + Br2 → C2H5Br + HBr

    (e) (CH3)3CH + Cl2 → (CH3)3CCl + HCl (f) (CH3)3CH + Br2 → (CH3)3CBr + HBr

    (g) H2 + Cl2 → 2HCl

    Q20

    Predict all possible constitutional isomers possible if monohalogenation were performed on the molecules in problem 15 with Br2. Give the name of the haloalkane.

    Q21

    Given the following alkanes, draw the most likely product to form upon monohalogenation with Br2 (keep in mind that this may not be the only product to form though). If the reaction was performed with Cl2 would there be more or less selectivity in the desired product formation? Why?

    (a) (b) (c)

    Q22

    Draw out the full mechanism of the monochlorination of ethane with electron-pushing arrows. Label the three overall steps of the mechanism.

    Q23

    Calculate the statistical probablity of monobromination of propane on each unique carbon, and discuss why this is not likely. Given that the experimental monobromination produces two products, 97% one and 3% the other, assign these percentages to the corresponding product.

    Q24

    Draw the mechanism of the bromination of propene using Br2, on the carbon adjacent to the double bond. Can you draw any resonance structures for the intermediates in the propagation steps? Would you expect this to make the radical more or less stable?

    Q25

    Based on the previous question, how do you think the ∆Ho to form the propene radical would compare to that of a propane radical?

    Q26

    Similar to problem 21, describe the resemblence to products and reactants of an early and a late transition state. In a monohalogenation, what step is early what step is late (propagation and termination)?

    Q27

    Draw the line-bond structure of the major product for the following reaction, if a reaction occurs, assume monohalogenation.

    (a) (b) (c)

    (d) (e)

    Q28

    For problem 27.c, calculate the product ratios using the following information (hint use the number of hydrogens in each category present to calculate the ratios).

    Chlorination: 1o Reactivity=1 2o Reactivity=4 3o Reactivity=5

    Q29

    Halo alkanes are synthetically useful compounds as you'll learn later. However, the radical halogenation is not always selective as seen in problem 27. If any of the products of the reactions were to be used as subsequent reagents, which would be more useful, 27.c or 27.d?

    Q30

    What are potential problems of trying to brominate the second carbon in hexane? If however, this does form draw the Newman Projection of the most favorable staggered conformation looking down the C2-C3 axis.

    Q31

    Calculate the ΔHo value for the bromination and iodination of propene, on the secondary carbon, assume monohalogenation. The bond dissociation values are as follows. What is the major difference between the two values? (Note this problem uses kcal mol-1)

    Bond Bond Dissociation Energy (kcal mol-1)
    Br-Br 46
    I-I 36
    (CH3)2CH-H 98.5
    H-Br 87
    H-I 71
    Secondary C-I 56
    Secondary C-Br 71

    Q32

    Draw the bond polarity present of chloroethane, explain how this affects the electronics of the carbon attached to the chloro group.

    Q33

    Write a balanced combustion reaction for the following hydrocarbons, sugars, and alchols. Assume complete combustion, what is one typical product of incomplete combustion?

    (a) butane (b) octane (c) glucose (C6H12O6) (d) methanol

    Q34

    At 25oC the heat of combustion of 2-butanone, CH3CHOCH2CH3, is 2444.1 kJ mol-1 and the heat of combustion of butanal, CHOCH2CH2CH3, is 2470.3 kJ mol-1. Which combustion is more endothermic? What does this tell us about the relative stability of the two compounds?

    Q35

    Often times NBS, N-bromosuccinimide, is substituted for Br2 in radical halogenation reactions to keep the concentration of Br2 low. This low concentration favors the radical halogenation and not other alkene reactions, that you will learn later on. Using NBS, drawn below, draw the radical bromination of propene.

    N-bromosuccinimide

    Q36

    Peroxides are also good initiators for radical reactions. Given the peroxide, RO-OR, draw the initiation step of the general peroxide and the propagation of that radical to create bromine radicals with HBr.

    Q37

    One radical inhibitor BHT, butylated hydroxytoluene, is often added to diethylether, CH3CH2OCH2CH3, to prevent explosive peroxides from forming. Given BHT's structure below, draw the radical formation on the oxygen of BHT with a general radical, R. . The phenoxy radical is stabilized/made unreactive by steric hindrance of the tertbutyl groups and also resonance.

    Q38

    Draw the two radical halogenation products of 2-methylpropane, also known as isobutane, with Cl2. Given the percentages of the two products are 37% and 63%, calculate the reactivity of each hydrogen and the ratio between the two.

    Q39

    Given the following reactions and the relative ΔHo, what is most likely the rate limiting step of the radical halogenation mechanism?

    1) X-X → 2X. ΔH1o>0

    2) R-CH3 + X. → R-CH2. + HX ΔH2o>ΔH1o

    3) R-CH2. + X. → R-CH2X ΔH3o<0

    Q40

    Explain or use a mechanism to show how BHT, or other radical inhibitors, could cause a radical halogenation to come to a stop?

    Q41

    Given the following heats of combustion; propane ΔH= -2202 kJ/mol, gasoline ΔH=-44,000 kJ/kg, diesel ΔH=-45,000 kJ/kg; what fuel could potentially provide the most miles per weight of fuel?

    Q42

    Write out the reactions for the complete combustion of propane and gasoline, assuming gasoline is completely C8H18 (gasoline is actually a mixture of smaller and larger hydrocarbons).

    Q43

    Draw the transition states of the reaction of Cl. and Br. with a secondary carbon, compare the radical character of that carbon between the two transition states.

    Q44

    CFC's, chlorofluorocarbons (CF2Cl2), saw widespread use as refrigerants and as aerosols. However, due to their low boiling point, when sprayed into the air they rise up to the atmosphere and are exposed to large amounts of uv radiation. This light, often seen as hv in chemical equations, provides the energy needed to break the CFC's into radicals. Chlorine radicals are formed and this degrades the protective layer of ozone into oxygen, O2. Draw the formation of the chlorine radical from a CFC.

    Q45

    N-bromosuccinimide, NBS, is a reagent with what purpose?

    (a) a strong base (b) a strong acid (c) radical initiator (d) radical inhibitor

    Q46

    Name the following compound.

    Q47

    A polymer scientist is trying to perform a halogenation on the following polymer to perform a subsequent reaction (the structure repeats itself to form a length of n units). She/he has been using Cl2 to perform the radical halogenation, but cannot obtain a uniformly halogenated product. What suggestion would you give her/him to try and achieve a more uniformly halogenated product?

    Q48

    Given that a radical halogenation with chlorine yields an early transition state, as defined in Hammond's Postulate, is the halogenation likely to be endothermic or exothermic?

    Solutions

    S15

    (a) (b) (c)

    There can be no quaternary Hydrogen because a Carbon can only have four covalent bonds. In (b) the central carbon has no attached Hydrogen, but it is a quaternary carbon.

    S16

    (a) left- tertiary right-secondary; the left is more favorable (b) left-primary right-tertiary; the right is more favorable (c) left- primary right- secondary; the right is more favorable

    For all of theses cases the more favorable radical is as follows 3o>2o>1o. Since the radical is electron deficient, the more carbon substituents the more hyperconjugation that can occur. This stabilizes the radical, this "rule" is also true for carbocations as you will see later.

    S17

    Make sure to draw single electron arrows. Also, this is homolytic bond cleavage because one electron goes to each atom involved in bonding.

    S18

    The stability of radicals is as follows: 3o>2o>1o>CH3, and so the second pair of radicals is most likely to form. A secondary and a primary radical are formed, compared to the other products that contain a methyl radical.

    S19

    ΔHo=(ΔHo Bonds Broken)-(ΔHo Bonds Formed)

    (a) CH4 + Cl2 → CH3Cl + HCl ΔHo=(CH3-H + Cl-Cl)-(CH3-Cl + H-Cl)=(439+242)-(356+431)=-106 kJ mol-1

    (b) CH4 + Br2 → CH3Br + HBr ΔHo=(CH3-H + Br-Br)-(CH3-Br + H-Br)=(439+192)-(293+364)=-26 kJ mol-1

    (c) C2H6 + Cl2 → C2H5Cl + HCl ΔHo=(C2H5-H + Cl-Cl)-(C2H5-Cl + H-Cl)=(423+242)-(352+431)=-118 kJ mol-1

    (d) C2H6 + Br2 → C2H5Br + HBr ΔHo=(C2H5-H + Br-Br)-(C2H5-Br + H-Br)=(423+192)-(293+364)=-42 kJ mol-1

    (e) (CH3)3CH + Cl2 → (CH3)3CCl + HCl ΔHo=((CH3)3C-H + Cl-Cl)-((CH3)3C-Cl + H-Cl)=(404+242)-(356+431)=-141 kJ mol-1

    (f) (CH3)3CH + Br2 → (CH3)3CBr + HBr ΔHo=((CH3)3C-H + Br-Br)-((CH3)3C-Br + H-Br)=(404+192)-(297+364)=-65 kJ mol-1

    (g) H2 + Cl2 → 2HCl ΔHo=(H-H + Cl-Cl)-2(H-Cl)=(435+242)-2(431)=-185 kJ mol-1

    S20

    (a) ethane; bromethane (b) 2,2-dimethylpropane; 1-bromo-2,2-dimethylpropane (c) 1-methylcyclobutane; (bromomethyl)cyclobutane, 1-bromo-1-methylcyclobutane, 1-bromo-2-methylcyclobutane, 1-bromo-3-methylcyclobutane

    S21

    If the reaction were performed with Cl2 the product formation would not likely be as selective. This is due to the fact that the radical formation with chlorine is exothermic and the radical formation with bromine is endothermic. Hammond's postulate explains that the transition state of exothermic reaction will be more similar to the reactants, less like a radical, leading to a less selective radical formation. Whereas the transition state of an endothermic reaction will be more similar to the products, more radical like, leading to a selective radical formation.

    S22

    S23

    The statistical distribution is calculated from the following: Total Carbons=3, Two external carbons are not unique, so probability=2/3 x 100% The center carbon probability is 1/3 x 100%. However, this is not likely, because the secondary carbon forms a much more stable radical than a primary radical.

    S24

    As you'll learn, this is not the only reaction that can occur. Alkene chemistry will be discussed later on.

    S25

    Since the propene radical is more favorable than the propane radical, the ∆Ho would be lower than that of propane.

    S26

    An early transition state resembles the reactants, and a late transition state resembles the products (Hammond's postulate). The formation of the alkyl radical, propagation, is an early transition state (if you draw the reaction coordinate diagram for this step it should be endothermic), and the formation of the alkyl halide, termination, is a late transition state (if you draw the reaction coordinate diagram for this step it should be exothermic).

    S27

    (a) (b)

    (c) (d) Notice how the chlorination is not as selective as the bromination.

    (e)

    S28

    Assuming there is no primary chlorination, which in reality is likely not the case, only 2o and 3o hydrogen atoms are taken into account.

    # 2o=2 Multiply by reactivity=Relative Yield => 8 Ratio= 8/(5+8) x 100%=62% 2o

    # 3o=1 Multiply by reactivity=Relative Yield => 5 Ratio=5/(5+8) x 100%=38% 3o

    S29

    27.d produces a much more pure mixture of products, and thus is more likely to be useful. Whereas, the chlorination, 27.c, of the same alkane potentially yields a mixture of products. This mixture would require a difficult separation, and is much less likely to be synthetically useful.

    However, if a different haloalkane were desired, then this could be useful after purification. As you see later on, though, there are other methods of creating haloalkanes that are more selective.

    S30

    The problem with this is that there are several secondary carbons, all about as equally likely to form a radical. There are three groups of unique hydrogens on the molecule, the two primary, the adjacent secondary, and the most interior secondary. Statistically speaking the inner two and second most outer two are equally likely to be brominated, there are equal number of hydrogens. If however, the second carbon is brominated, the following is the most favorable conformation.

    Since the methyl group is much larger than the bromine, the rest of the carbon chain is adjacent to the bromine to reduce the steric interaction. It is also anti to the methyl group to further reduce steric interaction.

    S31

    This problem could be broken up into the individual steps of the mechanism, and the ΔHo values for each step could be summed together to get the same value.

    Bromination:

    ΔHo=Bonds Broken - Bonds Made = (Br-Br + Secondary C-H) - (Secondary C-Br + H-Br) = (46 + 98.5) - (71 + 87)= -13.5 kcal mol-1

    Iodination:

    ΔHo=Bonds Broken - Bonds Made = (I-I + Secondary C-H) - (Secondary C-I + H-I) = (36 + 98.5) - (56 + 71)= +7.5 kcal mol-1

    The main difference between the two is that the bromination is exothermic, whereas the iodination is endothermic. This explains why no reaction occurs in 27.b

    S32

    The connectivity to a chlorine atom produces a highly polarized bond. This chlorination has further reactivity as you will see later on, taking advantage of the electron deficient carbon.

    S33

    With any complete combustion reaction the only products are CO2 and H2O.

    (a) butane 2C4H10 + 13O2 → 8CO2 + 10H2O

    (b) octane 2C8H18 + 17O2 → 16CO2 + 18H2O

    (c) glucose C6H12O6 + 6O2 → 6CO2 + 6H2O

    (d) methanol 4CH3 + 7O2 → 4CO2 + 6H2O

    If any incomplete combustion occurred, carbon monoxide, CO, would be produced.

    S34

    Butanal's combustion is more exothermic than that of 2-butanone. The heats of combustion tell us that 2-butanone is more stable, as it has a lower heat of combustion an thus less potential combustion energy in the compound.

    S35

    S36

    S37

    S38

    Total number of abstractable Hydrogens=(3x3)+1=10

    Relative Reactivity=[(Percentage)/(Number of Hydrogens)]

    Tertiary Reactivity = 63/1=63

    Primary Reactivity =37/9=4.1

    The ratio between the two is 63/4.1=15

    S39

    The most endothermic step, most postive value of ΔHo, is most likely to be the rate limiting step. So, (2) is the rate limiting step.

    S40

    The inihibitor stops interrupts the propagation step, effectively terminating the reaction. If a carbon or halogen radical does form, it will react with the BHT to form the radical in problem 37. The phenoxy radical in BHT is unreactive, and the reaction stops there.

    S41

    First, convert the 2202 kJ/mol to kJ/kg.

    (-2202 kJ/mol) x (1 mol/44.1 g) x (1000g / 1kg) = -49,931 kJ/mol ~ 50,000 kJ/kg

    Since propane has the largest, most negative, heat of combustion it is likely to yield the best mileage. It, and natural gas, is commonly used as a fuel in buses.

    S42

    Propane: C3H8 + 5O2 → 3CO2 + 4H2O

    "Gasoline": 2C8H18 + 27O2 → 16CO2 + 18H2O

    S43

    The transition state with the chlorine radical is considered an early transition state and more similar to the reactants. The transition state with the bromine radical is considered a late transition state and more similar to the products.

    S44

    S45

    (c) NBS is a radical initiator.

    S46

    S47

    As you may have seen in previous problems, radical halogenation with chlorine is less selective than with bromine. A good suggestion would be to use Br2, as it will almost exclusively be added to the tertiary carbon if used in a 1:1 stoichiometric ratio. Wheras, the chlorine will also be added to the secondary carbons, thus producing a non-uniform product.

    S48

    From Hammond's Postulate, an early transition state indicates an endothermic reaction.