Chemistry of the Halogenoalkanes SN1 and SN2 Reaction Mechanisms

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1 The primary halogenoalkane bromomethane reacts via an SN2 mechanism. Name: lass: Date: / / The tertiary halogenoalkane 2-bromo-2-methylpropane reacts via an SN1 mechanism. hemistry of the alogenoalkanes SN1 and SN2 Reaction Mechanisms ontents Nucleophilic Substitution into a Primary alogenoalkane SN2 Reaction Mechanism Page 2 Nucleophilic Substitution into a Tertiary alogenoalkane SN1 Reaction Mechanism Page 4 The Associated Examining Board, Summer 1997, Paper 7, Question 3 Page 6 Answer to the Associated Examining Board Question Page 8 Mark Scheme for the Associated Examining Board Question Page 12

Nucleophilic Substitution into alogenoalkanes The SN2 reaction Mechanism for Primary alogenoalkanes An example of a primary halogenoalkane is bromoethane. When bromoethane is refluxed with an aqueous solution of sodium hydroxide, the nucleophilic hydroxide ion substitutes the bromine of the primary halogenoalkane to form the primary alcohol ethanol: bromoethane + sodium hydroxide ethanol + sodium bromide 32Br + Na 32 + NaBr The reaction takes place via an SN2 reaction mechanism. This means that the reaction takes place via a nucleophilic substitution mechanism, with two different chemical species taking part in the slow, rate determining step: Br Slow, rate determining step. Br Fast. This step does not affect the rate of the reaction. + Br 2 Bromoethane (primary halogenoalkane). Intermediate. Ethanol (primary alcohol). Due to a difference in electronegativity values, the carbon-to-bromine bond of the primary halogenoalkane is polarised + Br, the more electronegative bromine atom attracting the bonding pair electrons away from the less electronegative carbon atom. Because opposite charges attract, the negative hydroxide ion is attracted towards the + carbon atom of the primary halogenoalkane. As a covalent bond starts to form between the oxygen of the hydroxide ion and carbon atom of the primary halogenoalkane, the carbon-to-bromine covalent bond of the primary halogenoalkane starts to break.

3 A negatively charged intermediate is very briefly formed in which both the attacking species and leaving species are both attached to the same carbon atom at the same time. Nucleophilic attack by the hydroxide ion on the primary halogenoalkane is the slowest stage of the reaction and therefore controls the overall rate of the reaction. Because the primary halogenoalkane and hydroxide ion are both involved in the slow, rate determining stage of the reaction, changing the concentration of either one of these two chemicals will directly affect the rate of the reaction. The rate expression for this reaction is written as: Rate = k [primary halogenoalkane] 1 [ ] 1 (first order with respect to the primary halogenoalkane and first order with respect to the hydroxide ions) The rate at which the primary halogenoalkane is converted into a primary alcohol is therefore directly proportional to the concentration of the primary halogenoalkane and is also directly proportional to the concentration of the hydroxide ions (see graphs below): The rate at which the primary halogenoalkane is converted into a primary alcohol is directly proportional to the concentration of the primary halogenoalkane. Rate of reaction / mol dm 3 s 1 The rate at which the primary halogenoalkane is converted into a primary alcohol is directly proportional to the concentration of the hydroxide ions. Rate of reaction / mol dm 3 s 1 oncentration of primary halogenoalkane / mol dm 3 oncentration of hydroxide ions / mol dm 3 Finally, once the reaction intermediate has formed, it rapidly breaks down to yield the primary alcohol and a bromide ion.

Nucleophilic Substitution into alogenoalkanes The SN1 Reaction Mechanism for Tertiary alogenoalkanes An example of a tertiary halogenoalkane is 2-bromo-2-methylpropane. When 2-bromo-2-methylpropane is refluxed with an aqueous solution of sodium hydroxide, the nucleophilic hydroxide ion substitutes the bromine of the tertiary halogenoalkane to form the tertiary alcohol 2-methylpropan-2-ol: 2-bromo-2-methylpropane + sodium hydroxide 2-methylpropan-2-ol + sodium bromide (3)3Br + Na (3)3 + NaBr The reaction takes place via an SN1 reaction mechanism. This means that the reaction takes place via a nucleophilic substitution mechanism, with only one chemical species taking part in the slow, rate determining step: Br 2-Bromo-2-methylpropane (tertiary halogenoalkane). Slow, rate determining step. Stable tertiary carbocation intermediate. + Br then: Initially, the carbon-to-bromine covalent bond of the tertiary halogenoalkane breaks to form a tertiary carbocation and a bromide ion. This is the slowest stage of the reaction and it therefore controls the overall rate of the reaction. Because only the tertiary halogenoalkane is involved in the slow, rate determining stage of the reaction, only changing the concentration of the tertiary halogenoalkane will affect the rate of the reaction. The hydroxide ions are not involved in the slow, rate determining step and so changing the concentration of the hydroxide ions will not affect the rate of the reaction. Stable tertiary carbocation intermediate. Fast. This step does not affect the rate of the reaction. 4 2-Methylpropan-2-ol (tertiary alcohol).

5 The rate expression for this reaction is written as: Rate = k [tertiary halogenoalkane] 1 [ ] 0 (first order with respect to the tertiary halogenoalkane and zero order with respect to the hydroxide ions) Because [ ] 0 = 1 the rate expression for the reaction can be simplified to: Rate = k [tertiary halogenoalkane] 1 The rate at which the tertiary halogenoalkane is converted into a tertiary alcohol is therefore directly proportional to the concentration of the tertiary halogenoalkane, but it is not affected by the concentration of hydroxide ions (see graphs below): The rate at which the tertiary halogenoalkane is converted into a tertiary alcohol is directly proportional to the concentration of the tertiary halogenoalkane. Rate of reaction / mol dm 3 s 1 The rate at which the tertiary halogenoalkane is converted into a tertiary alcohol is not affected by the concentration of the hydroxide ions. Rate of reaction / mol dm 3 s 1 oncentration of tertiary halogenoalkane / mol dm 3 The tertiary carbocation intermediate that is formed during the reaction is stabilised by the electron donating effect, or inductive effect, of the three methyl groups towards the central positively charged carbon. It is due to the stability of the tertiary carbocation that tertiary halogenoalkanes react by an SN1 mechanism. By comparison, primary carbocations are unstable (because there is only one methyl group present to stabilise the positively charged carbon) and so primary halogenoalkanes do not react by an SN1 mechanism, but instead react by a different SN2 mechanism. Finally, because opposite charges attract, the negative hydroxide ion is attracted towards the positive carbocation to form a tertiary alcohol. oncentration of hydroxide ions / mol dm 3

(a) (b) 6 The Associated Examining Board Summer 1997 Paper 7 Question 3 Bromoalkanes may be hydrolysed, using aqueous sodium hydroxide, to form alcohols either by an SN1 or an SN2 mechanism. Explain what is meant by the terms SN1 and SN2. SN1 SN2 (2 marks) Table 1 contains data relating to the hydrolysis of two bromoalkanes, X and Y, using aqueous sodium hydroxide. ydrolysis of X ydrolysis of Y Rate [X] [ ] Rate [Y] [ ] / mol dm 3 s 1 / mol dm 3 / mol dm 3 / mol dm 3 s 1 / mol dm 3 / mol dm 3 1.71 10 5 0.10 0.10 1.01 10 3 0.10 0.10 3.42 10 5 0.20 0.10 2.02 10 3 0.20 0.10 6.84 10 5 0.20 0.20 2.02 10 3 0.20 0.20 2.73 10 4 0.40 0.40 4.04 10 3 0.40 0.40 Table 1 Use the data from Table 1 to predict the type of mechanism (SN1 or SN2) involved in the hydrolyses of the bromoalkanes X and Y. Explain your prediction. Predicted mechanism for the hydrolysis of X. Explanation.. Predicted mechanism for the hydrolysis of Y. Explanation.. (6 marks)

(c) (i) (ii) 7 Bromoethane, 32Br, and 2-bromo-2-methylpropane, (3)3Br, are both bromoalkanes. Predict which of these bromoalkanes is more likely to be hydrolysed by an SN1 mechanism and explain your prediction. Prediction. Explanation..... (3 marks) Using the bromoalkane predicted in (c)(i), outline a mechanism for its SN1 hydrolysis by aqueous sodium hydroxide. (3 marks)

Answer to the Associated Examining Board Question Summer 1997, Paper 7, Question 3 8 (a) SN1 A nucleophilic substitution reaction in which only one chemical species takes part in the slow rate determining step. SN2 A nucleophilic substitution reaction in which two different chemical species take part in the slow rate determining step.

(b) The Information given in the question for the hydrolysis of bromoalkane X is reproduced below: ydrolysis of X 9 Rate [X] [ ] / mol dm 3 s 1 / mol dm 3 / mol dm 3 Rate doubles as the concentration of bromoalkane X doubles. Rate doubles as the concentration of doubles. 1.71 10 5 0.10 0.10 3.42 10 5 0.20 0.10 6.84 10 5 0.20 0.20 2.73 10 4 0.40 0.40 ompare the data from experiments 1 and 2. The concentration of bromoalkane X doubles from experiment 1 to experiment 2 (0.10 to 0.20 mol dm 3 ), but the concentration of remains unchanged (0.1 mol dm 3 ). Therefore, any change in the rate of reaction is only due to a change in the concentration of bromoalkane X. As the concentration of bromoalkane X doubles (0.10 to 0.20 mol dm 3 ) so the rate of reaction doubles (1.71 10 5 to 3.42 10 5 mol dm 3 s 1 ). This demonstrates that bromoalkane X takes part in the rate determining step of the reaction. ompare the data from experiments 2 and 3. The concentration of doubles from experiment 2 to experiment 3 (0.10 to 0.20 mol dm 3 ), but the concentration of bromoalkane X remains unchanged (0.2 mol dm 3 ). Therefore, any change in the rate of reaction is only due to a change in the concentration of. As the concentration of doubles (0.10 to 0.20 mol dm 3 ) so the rate of reaction doubles (3.42 10 5 to 6.84 10 5 mol dm 3 s 1 ). This demonstrates that takes part in the rate determining step of the reaction. Both bromoalkane X and take part in the rate determining step, so the hydrolysis of bromoalkane X takes place by an SN2 reaction mechanism. Experiment 1 Experiment 2 Experiment 3 Experiment 4

The Information given in the question for the hydrolysis of bromoalkane Y is reproduced below: 10 ydrolysis of Y Rate doubles as the concentration of bromoalkane Y doubles. Rate remains unchanged as the concentration of doubles. Rate [Y] [ ] / mol dm 3 s 1 / mol dm 3 / mol dm 3 1.01 10 3 0.10 0.10 2.02 10 3 0.20 0.10 2.02 10 3 0.20 0.20 4.04 10 3 0.40 0.40 ompare the data from experiments 1 and 2. The concentration of bromoalkane Y doubles from experiment 1 to experiment 2 (0.10 to 0.20 mol dm 3 ), but the concentration of remains unchanged (0.1 mol dm 3 ). Therefore, any change in the rate of reaction is only due to a change in the concentration of bromoalkane Y. As the concentration of bromoalkane Y doubles (0.10 to 0.20 mol dm 3 ) so the rate of reaction doubles (1.01 10 3 to 2.02 10 3 mol dm 3 s 1 ). This demonstrates that bromoalkane Y takes part in the rate determining step of the reaction. ompare the data from experiments 2 and 3. The concentration of doubles from experiment 2 to experiment 3 (0.10 to 0.20 mol dm 3 ), but the concentration of bromoalkane Y remains unchanged (0.2 mol dm 3 ). Therefore, any change in the rate of reaction is only due to a change in the concentration of. As the concentration of doubles (0.10 to 0.20 mol dm 3 ) the rate of reaction remains unchanged (2.02 10 3 mol dm 3 s 1 ). This demonstrates that does not take part in the rate determining step of the reaction. nly bromoalkane Y takes part in the rate determining step, so the hydrolysis of bromoalkane Y takes place by an SN1 reaction mechanism. Experiment 1 Experiment 2 Experiment 3 Experiment 4

11 (c) (i) The bromoalkane 2-bromo-2-methylpropane, (3)3Br, will be hydrolysed by an SN1 reaction mechanism. 2-Bromo-2-methylpropane is a tertiary halogenoalkane. Tertiary halogenoalkanes react to form stable tertiary carbocations. Tertiary carbocations are stabilised by the electron donating effect (inductive effect) of the attached methyl groups. (ii) then: + Br Br

Mark Scheme for the Associated Examining Board Question Summer 1997, Paper 7, Question 3 (a) SN1 nucleophilic substitution / one species in rate determining step SN2 nucleophilic substitution / two species in rate determining step (b) Predicted mechanism for the hydrolysis of X SN2 Explanation rate dependent on [X] or 1 st order with respect to X rate dependent on [ ] or 1 st order with respect to Predicted mechanism for the hydrolysis of Y SN1 Explanation rate dependent on [Y] or 1 st order with respect to Y rate not dependent on [ ] or zero order with respect to the term dependent must be qualified, e.g. directly proportional to or double [X] double rate 12 (c) (i) Prediction 2-bromo-2-methylpropane or (3)3Br Explanation forms a more stable tertiary carbocation because of inductive effect or electron movement from 3 groups (ii) Br + Br electron movement towards Br in the Br bond as shown by the correct curved arrow correct structure for the tertiary carbocation attack by on the positive carbon of the tertiary carbocation as shown by the correct curved arrow