---
title: "Alcohols: Activating the OH Group"
book: "University Chemistry — Year 1"
subject: chemistry
language: en
chapter: 22
exercises: 12
source: https://one-course.com/books/chemistry/2/en/chapter/22-alcohols-activating-the-oh-group
license: CC-BY-NC-SA-4.0
credit: "One Chemistry Book, One Course (one-course.com)"
---

# Chapter 22 — Alcohols: Activating the OH Group

Alcohols are everywhere: made in tonnes from alkenes and from fermentation, delivered by every Grignard addition of the previous chapter. Yet an alcohol does not undergo substitution as a halogenoalkane does: the OH group would have to leave as the hydroxide ion, a [strong base](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) and a very poor [leaving group](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) ([Chapter 19](https://one-course.com/books/chemistry/2/en/chapter/19-nucleophilic-substitution#ch-b1-nucleophilic-substitution)). Chemists have three answers. Remove the proton of the OH instead, and the [alkoxide](#def-b1-alcohol-activation-alkoxide) becomes a powerful [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile). Add a proton, and the leaving group becomes water. Or replace the hydrogen by a group that turns the oxygen into part of an excellent [leaving group](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile), without touching the carbon. This chapter follows the three routes, and the choices of mechanism and stereochemistry that come with them.

**You already know.**

SN1, SN2 and their stereochemistry ([Chapter 19](https://one-course.com/books/chemistry/2/en/chapter/19-nucleophilic-substitution#ch-b1-nucleophilic-substitution)); E1, E2 and [Zaitsev’s rule](https://one-course.com/books/chemistry/2/en/chapter/20-elimination#prop-b1-elimination-zaitsev) ([Chapter 20](https://one-course.com/books/chemistry/2/en/chapter/20-elimination#ch-b1-elimination)); [acidity constants](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-acidity-constant) and the predominant-reaction method ([Chapter 10](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#ch-b1-predominant-reaction)); the effect of alkyl groups on the acidity of alcohols ([Exercise 18.11](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#exo-b1-electronic-effects-11)).

## 22.1 Alcohols as acids: alkoxides

**Definition 22.1 (Alkoxide).**

An *alkoxide* is the conjugate base $\ce{RO-}$ of an alcohol $\ce{ROH}$: methoxide $\ce{CH3O-}$, ethoxide $\ce{CH3CH2O-}$, tert-butoxide $\ce{(CH3)3CO-}$. Alkoxides are [strong bases](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) and good [nucleophiles](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile).

**Proposition 22.2 (Acidity of alcohols).**

Alcohols are weaker acids than water or about as weak: $\mathrm{p}K_a$ 15.5 (methanol), 15.9 (ethanol), 17.1 (propan-2-ol), 19.2 (2-methylpropan-2-ol), against 14.0 for the couple $\ce{H2O}$/$\ce{OH-}$. Hydroxide therefore deprotonates them only partly; a complete conversion to the [alkoxide](#def-b1-alcohol-activation-alkoxide) needs a stronger base or an alkali metal.

**Proof.** The reaction $\ce{ROH + OH- <=> RO- + H2O}$ has $K = 10^{14.0 -
\mathrm{p}K_a(\ce{ROH})}$, between $10^{-1.5}$ and $10^{-5}$: unfavourable. Sodium metal reduces the proton, $\ce{2ROH + 2Na -> 2RO- + 2Na+ + H2}$, and the hydride ion of sodium hydride takes it irreversibly, $\ce{ROH + H- -> RO- + H2}$: the hydrogen escapes, and the reaction is complete whatever its equilibrium constant. ∎

**In the lab — Sodium hydride.**

Sodium hydride is sold as a grey powder dispersed in mineral oil, which protects it from the moisture of the air. It reacts violently with water, releasing flammable hydrogen; it is weighed quickly, added in portions to the dry alcohol under an inert gas, and the bubbling of hydrogen shows the progress of the deprotonation. Excess hydride is destroyed at the end by slow addition of an alcohol, never of water.

## 22.2 The Williamson ether synthesis

**Definition 22.3 (Williamson ether synthesis).**

The *Williamson ether synthesis* prepares an ether $\mathrm{R{-}O{-}R'}$ by an SN2 reaction of an [alkoxide](#def-b1-alcohol-activation-alkoxide) $\ce{RO-}$ on a halogenoalkane (or a [sulfonate ester](#def-b1-alcohol-activation-sulfonate)) $\mathrm{R'{-}X}$.

![Williamson synthesis of methoxyethane: the ethoxide attacks the carbon of iodomethane from the side opposite the iodine (SN2).](https://one-course.com/images/onecourse/chapters/chemistry-2/b1-alcohol-activation/fig-04f866371f41.svg)

*Williamson synthesis of methoxyethane: the ethoxide attacks the carbon of iodomethane from the side opposite the iodine (SN2).*

**Method 22.4 (Choosing the two partners).**

An ether $\mathrm{R{-}O{-}R'}$ can be cut on either side of the oxygen.

1. Write the two possible pairs: $\ce{RO-}$ with $\mathrm{R'X}$ , and $\mathrm{R'O^-}$ with $\ce{RX}$ .
2. Keep the pair in which the halide is methyl or primary: SN2 needs an unhindered carbon.
3. Reject a pair with a tertiary halide: the [alkoxide](#def-b1-alcohol-activation-alkoxide) , a [strong base](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) , would eliminate (E2) instead.
4. With a secondary halide, expect a mixture of ether and alkene.

**Example 22.5 (An unsymmetrical ether).**

2-Methoxy-2-methylpropane (methyl tert-butyl ether): sodium tert-butoxide with iodomethane gives it cleanly; sodium methoxide with the tertiary bromide, 2-bromo-2-methylpropane, gives 2-methylpropene by E2. Bulky on the [alkoxide](#def-b1-alcohol-activation-alkoxide) side, small on the halide side.

## 22.3 Activating the OH group

**Definition 22.6 (Sulfonate esters).**

A *sulfonate ester* $\mathrm{R{-}O{-}SO_2{-}R'}$ is formed from an alcohol and a sulfonyl chloride $\mathrm{R'SO_2Cl}$ in the presence of a base (pyridine). The *tosylate*, $\ce{R-OTs}$, comes from 4-methylbenzenesulfonyl chloride (tosyl chloride); the *mesylate*, $\ce{R-OMs}$, from methanesulfonyl chloride. The sulfonate anion $\mathrm{R'SO_3^-}$, the conjugate base of a [strong acid](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) and stabilised by resonance over three oxygens, is an excellent [leaving group](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile).

![Tosylation of an alcohol. The O–H bond is replaced by O–S; the C–O bond of the alcohol is not touched. Pyridine takes the HCl formed.](https://one-course.com/images/onecourse/chapters/chemistry-2/b1-alcohol-activation/fig-05a9e82445a0.svg)

*Tosylation of an alcohol. The O–H bond is replaced by O–S; the C–O bond of the alcohol is not touched. Pyridine takes the HCl formed.*

**Proposition 22.7 (Configuration through tosylation and substitution).**

Tosylation of an alcohol at a stereogenic carbon keeps its [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) (retention); a subsequent SN2 substitution of the [tosylate](#def-b1-alcohol-activation-sulfonate) inverts it. The two steps together replace OH by a [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) with inversion.

**Proof.** In the tosylation, the bonds that change are O–H and S–Cl: the oxygen of the alcohol attacks the sulfur and its hydrogen goes to the base. No bond to the stereogenic carbon is broken, so the arrangement around it is the same. In the SN2 step, the C–O bond breaks while the [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) bonds on the opposite side ([Proposition 19.4](https://one-course.com/books/chemistry/2/en/chapter/19-nucleophilic-substitution#prop-b1-nucleophilic-substitution-sn2-inversion)). ∎

![From (S)-butan-2-ol to 2-methylbutanenitrile: the tosylation keeps the configuration, the SN2 step with cyanide inverts it. Overall: OH replaced by CN with inversion.](https://one-course.com/images/onecourse/chapters/chemistry-2/b1-alcohol-activation/fig-4a39903d7a11.svg)

*From (*S*)-butan-2-ol to 2-methylbutanenitrile: the tosylation keeps the [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers), the SN2 step with cyanide inverts it. Overall: OH replaced by CN with inversion.*

The same goal can be reached in acid: the OH group, protonated, leaves as water, $\ce{R-OH2+ -> R+ + H2O}$ (SN1, E1) or under attack (SN2). Acid limits the [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile), though, to those that survive it — halide ions, water, alcohols — and opens the door to [carbocations](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) and their side reactions.

## 22.4 Conversion to halogenoalkanes

**Proposition 22.8 (Alcohols and hydrogen halides).**

Tertiary alcohols give the halogenoalkane with concentrated hydrochloric acid at room temperature (SN1); primary alcohols need hydrobromic or hydroiodic acid and heating (SN2 on the protonated alcohol); secondary alcohols react at intermediate rates, often by both mechanisms.

**Proof.** Protonation turns OH into $\ce{-OH2+}$. For a tertiary alcohol, water leaves easily, giving a stable [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) captured by the halide (SN1): even the modest [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) $\ce{Cl-}$ suffices. A primary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) is too unstable; the halide must push water out from behind (SN2), which needs a good [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) ($\ce{Br-}$, $\ce{I-}$, better in protic media than $\ce{Cl-}$, [Proposition 18.12](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#prop-b1-electronic-effects-nucleophilicity-basicity)) and heat. ∎

**Example 22.9 (A classification test).**

A mixture of concentrated hydrochloric acid and zinc chloride (a [Lewis acid](https://one-course.com/books/chemistry/2/en/chapter/3-lewis-structures-resonance-and-vsepr#def-b1-lewis-resonance-vsepr-lewis-acid) that helps the OH leave) turns a tertiary alcohol cloudy at once — the insoluble chloride separates — a secondary alcohol within minutes, and a primary alcohol hardly at all at room temperature: the order of [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) stability made visible in a test tube.

## 22.5 Dehydration and ether formation in acid

**Definition 22.10 (Dehydration of an alcohol).**

The *dehydration* of an alcohol is the elimination of water, catalysed by a [strong acid](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) (sulfuric or phosphoric acid) and heat, giving an alkene: $\mathrm{R_2CH{-}CR'_2OH} \to \mathrm{R_2C{=}CR'_2} + \ce{H2O}$.

![Acid-catalysed dehydration of 2-methylbutan-2-ol (E1): protonation, loss of water to the tertiary carbocation, loss of a proton. Removing the proton from the CH2 gives the trisubstituted 2-methylbut-2-ene (Zaitsev, major); from a methyl group, 2-methylbut-1-ene (minor).](https://one-course.com/images/onecourse/chapters/chemistry-2/b1-alcohol-activation/fig-af166be015f0.svg)

![Acid-catalysed dehydration of 2-methylbutan-2-ol (E1): protonation, loss of water to the tertiary carbocation, loss of a proton. Removing the proton from the CH2 gives the trisubstituted 2-methylbut-2-ene (Zaitsev, major); from a methyl group, 2-methylbut-1-ene (minor).](https://one-course.com/images/onecourse/chapters/chemistry-2/b1-alcohol-activation/fig-7fc57c0c816d.svg)

*Acid-catalysed [dehydration](#def-b1-alcohol-activation-dehydration) of 2-methylbutan-2-ol (E1): protonation, loss of water to the tertiary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), loss of a proton. Removing the proton from the $\ce{CH2}$ gives the trisubstituted 2-methylbut-2-ene (Zaitsev, major); from a methyl group, 2-methylbut-1-ene (minor).*

**Proposition 22.11 (Ether or alkene).**

A primary alcohol heated with sulfuric acid gives mainly a symmetrical ether at moderate temperature (one molecule substituting another by SN2) and mainly an alkene at higher temperature; secondary and tertiary alcohols give alkenes.

**Proof.** For a primary alcohol, the protonated alcohol can be attacked either at carbon by a second alcohol molecule (SN2, giving $\ce{R-O-R}$ after loss of a proton) or at a $\beta$ hydrogen (E2). Elimination makes more molecules than it consumes and is favoured as the temperature rises ([Proposition 20.10](https://one-course.com/books/chemistry/2/en/chapter/20-elimination#prop-b1-elimination-sn-vs-e)); substitution dominates when it is lower. Secondary and tertiary alcohols ionise to [carbocations](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), which lose a proton more easily than they are captured by a weak [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile), the more so on heating; the water formed is also removed by distillation of the volatile alkene. ∎

## 22.6 Exercises

**Exercise 22.1 ★.**

Write the reactions of ethanol with sodium, with sodium hydride, and with sodium hydroxide; compute the constant of the last ($\mathrm{p}K_a$ of ethanol 15.9).

**Solution of Exercise 22.1.**

$\ce{2CH3CH2OH + 2Na -> 2CH3CH2O- + 2Na+ + H2}$; $\ce{CH3CH2OH + NaH -> CH3CH2O- + Na+ + H2}$; $\ce{CH3CH2OH + OH- <=> CH3CH2O- + H2O}$, $K = 10^{14.0 - 15.9} = 10^{-1.9}$: partial.

**Exercise 22.2 ★.**

Give the products of: sodium methoxide with 1-bromopropane; sodium ethoxide with iodomethane; sodium phenoxide with bromoethane.

**Solution of Exercise 22.2.**

1-Methoxypropane; methoxyethane; ethoxybenzene (the phenoxide, a weaker base than an [alkoxide](#def-b1-alcohol-activation-alkoxide), is still a good [nucleophile](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile)).

**Exercise 22.3 ★.**

Write the tosylation of propan-1-ol and the reaction of the [tosylate](#def-b1-alcohol-activation-sulfonate) with sodium iodide. What is the advantage over the direct reaction of the alcohol with sodium iodide?

**Solution of Exercise 22.3.**

Tosylation in pyridine gives $\ce{CH3CH2CH2OTs}$; then

$$
\ce{CH3CH2CH2OTs + I- -> CH3CH2CH2I + TsO-}.
$$

Directly, iodide would have to expel $\ce{OH-}$: no reaction. The [tosylate](#def-b1-alcohol-activation-sulfonate) has an excellent [leaving group](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile), and the conditions are neither acidic nor strongly basic.

**Exercise 22.4 ★.**

Give the alkenes formed by acid [dehydration](#def-b1-alcohol-activation-dehydration) of butan-2-ol and of 2-methylpentan-2-ol, and the major one.

**Solution of Exercise 22.4.**

Butan-2-ol: but-1-ene, (*Z*)- and (*E*)-but-2-ene; major (*E*)-but-2-ene. 2-Methylpentan-2-ol: 2-methylpent-2-ene (major, trisubstituted) and 2-methylpent-1-ene.

**Exercise 22.5 ★★.**

Propose a Williamson synthesis of 1-ethoxy-2-methylpropane and explain your choice of partners. Why would the other choice give an alkene?

**Solution of Exercise 22.5.**

$\ce{(CH3)2CHCH2-O-CH2CH3}$: sodium 2-methylpropan-1-olate with bromoethane, or sodium ethoxide with 1-bromo-2-methylpropane. Both halides are primary, but 1-bromo-2-methylpropane is branched next to the reacting carbon, which slows SN2 and lets the [strong base](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) eliminate (2-methylpropene). The first choice is better.

**Exercise 22.6 ★★.**

(*R*)-octan-2-ol is converted into its [tosylate](#def-b1-alcohol-activation-sulfonate), then treated with sodium ethoxide in ethanol. Give the [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) of the ether. What would be obtained by heating the same alcohol with sulfuric acid?

**Solution of Exercise 22.6.**

The [tosylate](#def-b1-alcohol-activation-sulfonate) keeps the (*R*) [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers); SN2 with ethoxide inverts it: (*S*)-2-ethoxyoctane (OEt ranks first as OTs did). With sulfuric acid and heat: elimination to octenes (mainly (*E*)-oct-2-ene), via a secondary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), with loss of the stereochemistry.

**Exercise 22.7 ★★.**

Write the mechanism of the reaction of 2-methylpropan-2-ol with concentrated hydrochloric acid and explain why the reaction is fast at room temperature.

**Solution of Exercise 22.7.**

Protonation of OH; loss of water to the tertiary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) (slow); capture by $\ce{Cl-}$: 2-chloro-2-methylpropane. Fast because the tertiary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) is stable and the chloride, insoluble in the acid, separates.

**Exercise 22.8 ★★.**

Write the mechanism of the formation of ethoxyethane from ethanol in sulfuric acid, and the competing elimination.

**Solution of Exercise 22.8.**

$\ce{CH3CH2OH + H+ -> CH3CH2OH2+}$; a second ethanol attacks the carbon from behind, water leaving (SN2): $\ce{(CH3CH2)2OH+}$, which loses a proton: ethoxyethane. Competing: a base (ethanol, $\ce{HSO4-}$) takes a $\beta$ proton of $\ce{CH3CH2OH2+}$ as water leaves (E2): ethene.

**Exercise 22.9 ★★.**

In the classification test of this chapter, which alcohol among butan-1-ol, butan-2-ol and 2-methylpropan-2-ol turns cloudy first? Write the product.

**Solution of Exercise 22.9.**

2-Methylpropan-2-ol (tertiary), giving 2-chloro-2-methylpropane, insoluble.

**Exercise 22.10 ★★★.**

3,3-Dimethylbutan-2-ol, heated in acid, gives mainly 2,3-dimethylbut-2-ene, whose carbon skeleton differs from that of the alcohol. Propose a mechanism with a 1,2-shift of a methyl group in the [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), and justify the shift.

**Solution of Exercise 22.10.**

Protonation and loss of water give a secondary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) next to a quaternary carbon. A methyl group of that carbon moves with its [bonding pair](https://one-course.com/books/chemistry/2/en/chapter/3-lewis-structures-resonance-and-vsepr#def-b1-lewis-resonance-vsepr-lewis) to the cationic carbon: the positive charge is now on a [tertiary carbon](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-carbon-class), more stable. Loss of a proton from a neighbouring carbon gives the tetrasubstituted 2,3-dimethylbut-2-ene, the most stable alkene.

**Exercise 22.11 ★★★.**

Design a synthesis of (*S*)-2-methoxybutane from (*R*)-butan-2-ol, and another from (*S*)-butan-2-ol, each keeping the [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) under control.

**Solution of Exercise 22.11.**

From (*R*)-butan-2-ol: [tosylate](#def-b1-alcohol-activation-sulfonate) ((*R*)), then sodium methoxide (SN2, inversion): (*S*)-2-methoxybutane. From (*S*)-butan-2-ol: make the [alkoxide](#def-b1-alcohol-activation-alkoxide) (NaH) and add iodomethane: the stereogenic C–O bond is not touched, (*S*)-2-methoxybutane again.

**Exercise 22.12 ★★★.**

Show that the equilibrium $\ce{2CH3CH2OH <=> (CH3CH2)2O + H2O}$ can be driven to the ether by removing water continuously, using the [reaction quotient](https://one-course.com/books/chemistry/2/en/chapter/7-describing-a-chemical-system-extent-activities-q-and-k#def-b1-extent-q-and-k-quotient) ([Chapter 7](https://one-course.com/books/chemistry/2/en/chapter/7-describing-a-chemical-system-extent-activities-q-and-k#ch-b1-extent-q-and-k)).

**Solution of Exercise 22.12.**

$Q = [\text{ether}][\ce{H2O}]/[\ce{EtOH}]^2$. Removing water as it forms keeps $[\ce{H2O}]$ and $Q$ small: $Q < K$ and the reaction goes on forming ether until the alcohol is consumed.

## 22.7 Problem: Two Roads to an Ether

**Problem 22.1.**

Weekend problem — the two Williamson routes to methyl tert-butyl ether, a stereochemically controlled ether from an optically active alcohol, the dehydration of a tertiary alcohol, and the mass of ether obtained

2-Methoxy-2-methylpropane (methyl tert-butyl ether, MTBE) was produced on a large scale as a fuel additive. Molar masses ($\mathrm{g}/\mathrm{mol}$): $\ce{C4H10O}$ 74.0, $\ce{C5H12O}$ 88.0, $\ce{CH3I}$ 141.9.

**Part I — MTBE by the Williamson synthesis.**

1. Write the two pairs of partners ( [alkoxide](#def-b1-alcohol-activation-alkoxide) and halide) that could give MTBE.
2. Which pair fails? Write the reaction that takes place instead.
3. Write the successful reaction and its mechanism.
4. How is sodium tert-butoxide prepared from 2-methylpropan-2-ol? Why not with sodium hydroxide?
5. Why is the reaction run in the dry alcohol or an [aprotic solvent](https://one-course.com/books/chemistry/2/en/chapter/4-intermolecular-forces-and-solvents#def-b1-intermolecular-forces-solvents-solvent-classes) ?
6. Is the product [chiral](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-stereocentre) ?

**Part II — An optically active ether.**

7. ( *R* )-Butan-2-ol is converted into its [tosylate](#def-b1-alcohol-activation-sulfonate) . Write the reaction and give the [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) of the [tosylate](#def-b1-alcohol-activation-sulfonate) .
8. The [tosylate](#def-b1-alcohol-activation-sulfonate) reacts with sodium methoxide. Write the product and its [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) .
9. Which [configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) of the alcohol gives ( *R* )-2-methoxybutane by the same route?
10. Another route: the [alkoxide](#def-b1-alcohol-activation-alkoxide) of ( *R* )-butan-2-ol with iodomethane. [Configuration](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-isomers) of the product? Why?
11. Which side reaction competes in question 8, and why is it limited here?
12. Why would heating ( *R* )-butan-2-ol with methanol in sulfuric acid give a nearly racemic ether, if any?

**Part III — [Dehydration](#def-b1-alcohol-activation-dehydration) of a tertiary alcohol.**

13. Write the mechanism of the acid [dehydration](#def-b1-alcohol-activation-dehydration) of 2-methylbutan-2-ol.
14. Give the two alkenes and predict the major one.
15. Why is no ether formed from this alcohol?
16. Why is 2-methylbut-2-ene distilled out as it forms?
17. Draw the [energy profile](https://one-course.com/books/chemistry/2/en/chapter/9-reaction-mechanisms-elementary-steps-and-approximations#def-b1-elementary-steps-energy-profile) of the E1 step and mark the [rate-determining step](https://one-course.com/books/chemistry/2/en/chapter/9-reaction-mechanisms-elementary-steps-and-approximations#def-b1-elementary-steps-rds) .
18. Could a primary alcohol be dehydrated by the same mechanism?

**Part IV — Masses.**

19. $10.0\,\mathrm{g}$ of 2-methylpropan-2-ol are converted into the [alkoxide](#def-b1-alcohol-activation-alkoxide) . Compute the amount.
20. What mass of iodomethane is needed for a $10\,\%$ excess?
21. Compute the theoretical mass of MTBE.
22. Compute the mass obtained for a $75\,\%$ [yield](https://one-course.com/books/chemistry/2/en/chapter/7-describing-a-chemical-system-extent-activities-q-and-k#def-b1-extent-q-and-k-fractional-extent) .

**Solution of Problem 22.1.**

**1.** Sodium tert-butoxide with a methyl halide; sodium methoxide with a tert-butyl halide. **2.** The second: methoxide, a [strong base](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid), eliminates from the tertiary halide, $\ce{(CH3)3CBr + CH3O- -> (CH3)2C=CH2 + CH3OH + Br-}$. **3.** $\ce{(CH3)3CO- + CH3I -> (CH3)3COCH3 + I-}$: the [alkoxide](#def-b1-alcohol-activation-alkoxide) oxygen attacks the methyl carbon from behind as iodide leaves (SN2). **4.** With sodium (or sodium hydride): $\ce{2(CH3)3COH + 2Na ->
2(CH3)3CO- + 2Na+ + H2}$. Hydroxide is too weak a base: $K = 10^{14.0 -
19.2} = 10^{-5.2}$. **5.** Water would protonate the [alkoxide](#def-b1-alcohol-activation-alkoxide) and attack the halide. **6.** No: no [stereogenic centre](https://one-course.com/books/chemistry/2/en/chapter/16-stereochemistry-in-depth#def-b1-stereochemistry-in-depth-stereocentre). **7.** (*R*)-butan-2-ol + TsCl (pyridine) $\to$ (*R*)-butan-2-yl [tosylate](#def-b1-alcohol-activation-sulfonate): retention. **8.** (*S*)-2-methoxybutane, by SN2 inversion. **9.** (*S*)-butan-2-ol. **10.** (*R*)-2-methoxybutane: the C–O bond of the stereogenic carbon is kept; only O–C(methyl) forms. **11.** E2 (methoxide is a [strong base](https://one-course.com/books/chemistry/2/en/chapter/10-acidbase-equilibria-and-the-predominant-reaction-method#def-b1-predominant-reaction-strong-acid) and the carbon is secondary), giving butenes; limited by the small base, an excellent [leaving group](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-nucleophile) and mild temperature. **12.** The protonated alcohol ionises to a planar secondary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), captured on both faces by methanol: racemic ether, together with butenes. **13.** Protonation of OH, loss of water (slow) to the tertiary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), loss of a $\beta$ proton. **14.** 2-Methylbut-2-ene (major, trisubstituted) and 2-methylbut-1-ene. **15.** A tertiary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) is hindered and loses a proton far more easily than another alcohol molecule can attack it. **16.** To remove a product: with $Q$ kept small the reaction goes on, and the alkene is not left in contact with the acid. **17.** A high first barrier (loss of water, rate-determining) to the [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates), then a small barrier to the alkene. **18.** No: a primary [carbocation](https://one-course.com/books/chemistry/2/en/chapter/18-electronic-effects-and-reactive-intermediates#def-b1-electronic-effects-intermediates) is too unstable; primary alcohols eliminate by E2 on the protonated alcohol, at higher temperature. **19.** $10.0/74.0 = 0.135\,\mathrm{mol}$. **20.** $1.10 \times 0.135 \times 141.9 = 21.1\,\mathrm{g}$. **21.** $0.135 \times 88.0 = 11.9\,\mathrm{g}$. **22.** $0.75 \times 11.9 =$ **$8.9\,\mathrm{g}$ of MTBE**.