---
title: "Synthesis Strategy and Green Chemistry"
book: "School Chemistry — Grades 1 to 12"
subject: chemistry
language: en
chapter: 48
exercises: 15
source: https://one-course.com/books/chemistry/1/en/chapter/48-synthesis-strategy-and-green-chemistry
license: CC-BY-NC-SA-4.0
credit: "One Chemistry Book, One Course (one-course.com)"
---

# Chapter 48 — Synthesis Strategy and Green Chemistry

The same painkiller, ibuprofen, has been made in two ways. The older route takes six steps, and of every hundred kilograms of starting materials it buys, sixty end up as waste. The newer one takes three steps, and keeps almost every [atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) it buys. Both give the same white powder in the tablet; they differ in the planning. A chemist who plans a [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) asks four questions: how to go fast, how to get much, how to touch only the right part of a [molecule](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule), and how to waste little.

**You already know.**

A [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis): reaction, separation, purification, identification; its [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) ([Chapter 28](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#ch-g10-synthesis-yield)). [Curly arrows](https://one-course.com/books/chemistry/1/en/chapter/40-reaction-mechanisms-curly-arrows#def-g12-curly-arrows-curly-arrow), substitution, addition, [elimination](https://one-course.com/books/chemistry/1/en/chapter/40-reaction-mechanisms-curly-arrows#def-g12-curly-arrows-categories) ([Chapter 40](https://one-course.com/books/chemistry/1/en/chapter/40-reaction-mechanisms-curly-arrows#ch-g12-curly-arrows)). A [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) speeds up a reaction without being consumed ([Chapter 42](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#ch-g12-catalysis)). A [non-total reaction](https://one-course.com/books/chemistry/1/en/chapter/43-chemical-equilibrium-quotient-and-constant#def-g12-equilibrium-non-total) stops at $Q = K$; an excess of a [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant), or the removal of a product, carries it further ([Chapter 43](https://one-course.com/books/chemistry/1/en/chapter/43-chemical-equilibrium-quotient-and-constant#ch-g12-equilibrium)).

![A pharmaceutical plant: the reactors of a synthesis, scaled up to tonnes.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/img-b5f8b439ae9f.jpg)

*A pharmaceutical plant: the reactors of a [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis), scaled up to tonnes.*

## 48.1 Optimising a synthesis

Two different things can be improved: the *rate*, which decides how long the [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) takes, and the *[yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield)*, which decides how much product it gives.

**Proposition 48.1 (Levers on rate and yield).**

- The rate rises with the temperature, with the concentrations of the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) , and with a [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) .
- The final [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of a [total reaction](https://one-course.com/books/chemistry/1/en/chapter/27-the-reaction-progress-table#def-g10-reaction-progress-table-limiting) is fixed by the [limiting reactant](https://one-course.com/books/chemistry/1/en/chapter/27-the-reaction-progress-table#def-g10-reaction-progress-table-limiting) ; that of a [non-total reaction](https://one-course.com/books/chemistry/1/en/chapter/43-chemical-equilibrium-quotient-and-constant#def-g12-equilibrium-non-total) rises with an excess of one [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) , or with the removal of a product as it forms. A [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) does not change it: it only brings the system faster to the same [final state](https://one-course.com/books/chemistry/1/en/chapter/27-the-reaction-progress-table#def-g10-reaction-progress-table-system) .

**Proof.** The first point gathers the [kinetic factors](https://one-course.com/books/chemistry/1/en/chapter/41-reaction-rates#def-g12-reaction-rates-kinetic-factor) of Chapters [41](https://one-course.com/books/chemistry/1/en/chapter/41-reaction-rates#ch-g12-reaction-rates) and [42](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#ch-g12-catalysis). The second follows from $Q = K$ at the end of a [non-total reaction](https://one-course.com/books/chemistry/1/en/chapter/43-chemical-equilibrium-quotient-and-constant#def-g12-equilibrium-non-total): adding a [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) or removing a product makes $Q < K$, and the reaction goes on forwards. ∎

**Example 48.2 (Esterification with a water trap).**

Ethanoic acid and ethanol, one [mole](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-amount) of each, give only $67\,\%$ of [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) at equilibrium. If the [mixture](https://one-course.com/books/chemistry/1/en/chapter/8-pure-substances-and-mixtures#def-g6-pure-substances-and-mixtures-mixture) is heated under reflux in a [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) that does not [mix](https://one-course.com/books/chemistry/1/en/chapter/2-mixing-and-dissolving#def-g2-mixing-and-dissolving-mix) with water, with a little acid as [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst), the vapour condenses into a side tube, a *water trap*: the water, denser, settles at the bottom and stays there, while the [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) flows back into the flask. Water leaves the reaction as it forms, $Q$ stays below $K$, and the esterification goes almost to completion. The heating gives the rate, the [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) more rate, the trap the [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield).

![A water trap on a flask heated under reflux: the water formed is removed from the reaction as it condenses.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/fig-e4d48b8a4009.svg)

*A water trap on a flask heated under reflux: the water formed is removed from the reaction as it condenses.*

## 48.2 Selectivity

A real [molecule](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule) often carries several [functional groups](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-functional-group). A [reagent](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test) that attacks them all gives a [mixture](https://one-course.com/books/chemistry/1/en/chapter/8-pure-substances-and-mixtures#def-g6-pure-substances-and-mixtures-mixture); a good [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) uses one that attacks only the group to be changed.

**Definition 48.3 (Chemoselective reaction).**

A reaction is *chemoselective* when, on a [molecule](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule) carrying several [functional groups](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-functional-group), its [reagent](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test) transforms one group and leaves the others unchanged.

**Example 48.4 (A reductant that chooses).**

Sodium borohydride, $\ce{NaBH4}$, reduces the carbonyl group of [aldehydes](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) and [ketones](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) into an [alcohol](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-alcohol) group, but leaves [esters](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) untouched. On a [molecule](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule) that carries a [ketone](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) and an [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid), only the [ketone](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) changes:

$$
\ce{CH3-CO-CH2-CH2-CO-O-CH3}
  \;\xrightarrow{\ \ce{NaBH4}\ }\;
  \ce{CH3-CH(OH)-CH2-CH2-CO-O-CH3} .
$$

A stronger [reductant](https://one-course.com/books/chemistry/1/en/chapter/35-oxidation-and-reduction#def-g11-redox-oxidant), lithium aluminium hydride $\ce{LiAlH4}$, would reduce both groups: it is not [chemoselective](#def-g12-synthesis-strategy-chemoselective) here.

**Remark 48.5 (Several kinds of selectivity).**

Chemoselectivity chooses between groups. A reaction can also choose between two positions of the same group, or between two [stereoisomers](https://one-course.com/books/chemistry/1/en/chapter/39-stereochemistry-chirality-and-isomers#def-g12-stereochemistry-stereoisomer) of the product, as the [enzymes](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-enzyme) of [Chapter 42](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#ch-g12-catalysis) and the [chiral](https://one-course.com/books/chemistry/1/en/chapter/39-stereochemistry-chirality-and-isomers#def-g12-stereochemistry-chiral) [molecules](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule) of [Chapter 39](https://one-course.com/books/chemistry/1/en/chapter/39-stereochemistry-chirality-and-isomers#ch-g12-stereochemistry) showed. Each kind is studied in the university volumes.

## 48.3 Protecting groups

When no [reagent](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test) is selective enough, the chemist hides the group that must not react, does the reaction, and then uncovers the group again.

**Definition 48.6 (Protecting group).**

A *protecting group* is a group attached to a [functional group](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-functional-group) to stop it from reacting during one or more steps of a [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis), and removed afterwards to give back the original group. The three operations are *protection*, *reaction* and *deprotection*.

**Method 48.7 (Planning a protection).**

1. List the groups of each [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) , and the one bond to be made.
2. Mark every other group that the [reagent](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test) of that step could also attack.
3. Protect each of them with a group that resists the reaction conditions and that can be removed under gentle conditions that leave the new bond intact.
4. Count the cost: each protection adds two steps, protection and deprotection, and lowers the overall [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) .

**Example 48.8 (Making one dipeptide, not four).**

Glycine, $\ce{H2N-CH2-COOH}$, and alanine, $\ce{H2N-CH(CH3)-COOH}$, each carry an [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) group and an acid group. An [amide](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) bond between the acid of glycine and the [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of alanine gives the dipeptide Gly–Ala. Mixed directly, the two amino acids give four dipeptides, Gly–Ala, Ala–Gly, Gly–Gly and Ala–Ala, in a [mixture](https://one-course.com/books/chemistry/1/en/chapter/8-pure-substances-and-mixtures#def-g6-pure-substances-and-mixtures-mixture) hard to separate. The plan:

1. protect the [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of glycine with a group written $\ce{Z}$ , and the acid of alanine as its methyl [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) ;
2. form the [amide](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) bond: only one acid group and one [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) group are left free;
3. remove both [protecting groups](#def-g12-synthesis-strategy-protecting-group) .

![Protection, reaction, deprotection: the only amide bond that can form is the one wanted.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/fig-0e29c5affcdf.svg)

*Protection, reaction, deprotection: the only [amide](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) bond that can form is the one wanted.*

## 48.4 Atom economy

A [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of $100\,\%$ says that every [molecule](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule) of the [limiting reactant](https://one-course.com/books/chemistry/1/en/chapter/27-the-reaction-progress-table#def-g10-reaction-progress-table-limiting) became product. It does not say how many of the [atoms](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) bought ended up in the product: the other products of the equation, however pure, are waste unless someone can use them.

**Definition 48.9 (Atom economy).**

The *atom economy* of a [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) is the fraction of the mass of the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant), taken in the proportions of the [balanced equation](https://one-course.com/books/chemistry/1/en/chapter/13-conservation-of-mass-and-balanced-equations#def-g8-balanced-equations-equation), that ends up in the desired product.

**Proposition 48.10 (Atom economy from the equation).**

For a [balanced equation](https://one-course.com/books/chemistry/1/en/chapter/13-conservation-of-mass-and-balanced-equations#def-g8-balanced-equations-equation) $a_1\,\ce{R1} + a_2\,\ce{R2} + \cdots \rightarrow
p\,\ce{P} + \text{other products}$,

$$
\text{atom economy} =
  \frac{p\,M(\ce{P})}{a_1 M(\ce{R1}) + a_2 M(\ce{R2}) + \cdots}
  \times 100\,\% .
$$

**Proof.** For $x$ [moles](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-amount) of reaction, the mass of [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) consumed is $x\,(a_1 M(\ce{R1}) + \cdots)$ and the mass of desired product formed is $x\,p\,M(\ce{P})$; their ratio does not depend on $x$. ∎

**Method 48.11 (Computing an atom economy).**

1. Write the [balanced equation](https://one-course.com/books/chemistry/1/en/chapter/13-conservation-of-mass-and-balanced-equations#def-g8-balanced-equations-equation) ; for a route of several steps, add the steps so that every intermediate cancels.
2. Compute the [molar mass](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-molar-mass) of each [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) and of the desired product.
3. Apply the formula, with the [stoichiometric coefficients](https://one-course.com/books/chemistry/1/en/chapter/13-conservation-of-mass-and-balanced-equations#def-g8-balanced-equations-coefficient) .
4. The waste per kilogram of product is $(100 - \text{atom economy})/\text{atom economy}$ kilograms.

**Example 48.12 (Addition against substitution).**

Bromoethane from ethene, $\ce{C2H4 + HBr -> C2H5Br}$: every [atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) ends up in the product, [atom economy](#def-g12-synthesis-strategy-atom-economy) $108.9/(28.0 + 80.9) = 100\,\%$. Ethanol from bromoethane, $\ce{C2H5Br + NaOH -> C2H5OH + NaBr}$: the [atom economy](#def-g12-synthesis-strategy-atom-economy) is $46.0/(108.9 + 40.0) = 30.9\,\%$; per kilogram of ethanol, $2.2\,\mathrm{kg}$ of sodium bromide. An addition always has an [atom economy](#def-g12-synthesis-strategy-atom-economy) of $100\,\%$; a substitution or an [elimination](https://one-course.com/books/chemistry/1/en/chapter/40-reaction-mechanisms-curly-arrows#def-g12-curly-arrows-categories) never does.

![Atom economies computed from the equations: ethene with hydrogen bromide, ethanoic acid with ethanol, the two ibuprofen routes, and bromoethane with sodium hydroxide.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/fig-df2256ad6f8b.svg)

*[Atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) economies computed from the equations: ethene with hydrogen bromide, ethanoic acid with ethanol, the two ibuprofen routes, and bromoethane with sodium hydroxide.*

## 48.5 Green chemistry

**Definition 48.13 (Green chemistry).**

*Green chemistry* is the design of chemical products and processes that reduce or eliminate the use and the production of hazardous substances, from the choice of the starting materials to the fate of the product after use.

Twelve principles summarise the approach; each is a question to ask of a process.

1. Prevent waste rather than treat it.
2. Maximise [atom economy](#def-g12-synthesis-strategy-atom-economy) .
3. Design less hazardous syntheses.
4. Design safer chemicals and products.
5. Use safer [solvents](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) and reaction conditions.
6. Increase energy efficiency: work near room temperature and pressure.
7. Use renewable feedstocks.
8. Avoid chemical derivatives, such as [protecting groups](#def-g12-synthesis-strategy-protecting-group) .
9. Use [catalysts](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) , not stoichiometric [reagents](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test) .
10. Design products that degrade after use.
11. Analyse in real time to prevent pollution.
12. Minimise the potential for accidents.

**Remark 48.14 (Principles, not laws).**

The principles often pull in opposite directions: a [protecting group](#def-g12-synthesis-strategy-protecting-group) breaks principle 8 but may save a whole [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis); a [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) that saves energy may contain a scarce [metal](https://one-course.com/books/chemistry/1/en/chapter/20-the-periodic-table-a-first-look#def-g9-periodic-table-first-look-metal). Judging a process means weighing them, with numbers wherever possible: [atom economy](#def-g12-synthesis-strategy-atom-economy), [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield), mass of waste, energy.

**History — Green chemistry, 1998.**

In 1998 the chemists Paul Anastas and John Warner published a book, *Green Chemistry: Theory and Practice*, which laid out the twelve principles. A year earlier, a government prize for greener syntheses had gone to the three-step route to ibuprofen, run on an industrial scale since 1992. Since then, the principles have been taught to chemists as part of their trade.

**Example 48.15 (Two routes to ibuprofen).**

Ibuprofen, $\ce{C13H18O2}$, is made from the hydrocarbon $\ce{C10H14}$ (isobutylbenzene). The older route uses six steps and, in each, a full amount of [reagent](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test); added together, its [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) have a [molar mass](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-molar-mass) sum of $514.5\,\mathrm{g}/\mathrm{mol}$, for $206.0\,\mathrm{g}/\mathrm{mol}$ of ibuprofen: [atom economy](#def-g12-synthesis-strategy-atom-economy) $40\,\%$. The newer route uses three steps, two of them catalysed, and the overall equation

$$
\ce{C10H14 + C4H6O3 + H2 + CO -> C13H18O2 + C2H4O2}
$$

gives $206.0/266.0 = 77\,\%$. Its by-product, ethanoic acid, is recovered and used: counted as a product, the [atom economy](#def-g12-synthesis-strategy-atom-economy) exceeds $99\,\%$.

![Ibuprofen (top) and its two industrial routes: the older one, six steps, and the newer one, three catalysed steps, with their atom economies.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/fig-c455583953b4.svg)

![Ibuprofen (top) and its two industrial routes: the older one, six steps, and the newer one, three catalysed steps, with their atom economies.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/fig-44ec9e2a04d2.svg)

*Ibuprofen (top) and its two industrial routes: the older one, six steps, and the newer one, three catalysed steps, with their [atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) economies.*

**Example 48.16 (Greener solvents).**

Many reactions and [extractions](https://one-course.com/books/chemistry/1/en/chapter/22-chemical-species-natural-and-synthetic#def-g10-chemical-species-extraction) use organic [solvents](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) that are toxic, flammable or volatile. Water is the safest [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) of all, when the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) [dissolve](https://one-course.com/books/chemistry/1/en/chapter/2-mixing-and-dissolving#def-g2-mixing-and-dissolving-dissolve) in it. Carbon dioxide becomes another: above $31\,{}^{\circ}\mathrm{C}$ and $73.8\,\mathrm{bar}$ it is a *supercritical fluid*, neither liquid nor gas, which [dissolves](https://one-course.com/books/chemistry/1/en/chapter/2-mixing-and-dissolving#def-g2-mixing-and-dissolving-dissolve) many organic [molecules](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-molecule). It extracts caffeine from coffee beans, for example; when the pressure is released, it simply turns back into a gas and leaves no residue in the product.

![A high-pressure extraction vessel, in which supercritical carbon dioxide replaces an organic solvent.](https://one-course.com/images/onecourse/chapters/chemistry-1/g12-synthesis-strategy/img-9826e48dd6cd.jpg)

*A high-pressure [extraction](https://one-course.com/books/chemistry/1/en/chapter/22-chemical-species-natural-and-synthetic#def-g10-chemical-species-extraction) vessel, in which supercritical carbon dioxide replaces an organic [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute).*

## 48.6 Exercises

**Exercise 48.1 ★.**

Ethanol can be made by hydration of ethene, $\ce{C2H4 + H2O -> C2H5OH}$, or by fermentation of glucose, $\ce{C6H12O6 -> 2C2H5OH + 2CO2}$. Compute the [atom economy](#def-g12-synthesis-strategy-atom-economy) of each.

**Solution of Exercise 48.1.**

Hydration: $46.0/(28.0 + 18.0) = 100\,\%$. Fermentation: $2 \times 46.0/180.0 = 51.1\,\%$.

**Exercise 48.2 ★.**

In the dipeptide scheme of this chapter, name the step at which each [protecting group](#def-g12-synthesis-strategy-protecting-group) is put on, and the step at which it is taken off.

**Solution of Exercise 48.2.**

Both groups, $\ce{Z}$ on the [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of glycine and the methyl [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) on the acid of alanine, are put on at step 1 and taken off at step 3.

**Exercise 48.3 ★.**

A factory replaces a chlorinated [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) by water in one of its reactions. Which principle of [green chemistry](#def-g12-synthesis-strategy-green-chemistry) does it apply?

**Solution of Exercise 48.3.**

Principle 5: use safer [solvents](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) and reaction conditions.

**Exercise 48.4 ★.**

Why does an excess of ethanol raise the [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of an esterification, but a [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) does not?

**Solution of Exercise 48.4.**

An excess of ethanol makes $Q < K$, so the reaction goes further forwards. A [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) speeds up both directions alike: the same [final state](https://one-course.com/books/chemistry/1/en/chapter/27-the-reaction-progress-table#def-g10-reaction-progress-table-system) is reached, only sooner.

**Exercise 48.5 ★.**

Sodium borohydride reduces [aldehydes](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) and [ketones](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl), not [esters](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid). Is its reaction with methyl 4-oxopentanoate (a [ketone](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) and an [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid)) [chemoselective](#def-g12-synthesis-strategy-chemoselective)? Which group changes?

**Solution of Exercise 48.5.**

Yes: only the [ketone](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carbonyl) is reduced, into a secondary [alcohol](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-alcohol) group; the [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) is unchanged.

**Exercise 48.6 ★★.**

One [mole](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-amount) of ethanoic acid and one of ethanol give $0.67\,\mathrm{mol}$ of [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) at equilibrium. Propose two ways to raise this amount, and one way to reach it faster.

**Solution of Exercise 48.6.**

More [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid): an excess of one [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant), or removing the water (water trap) as it forms. Faster: heat under reflux, add an acid [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst).

**Exercise 48.7 ★★.**

Methyl 4-oxopentanoate, $\ce{CH3-CO-CH2-CH2-CO-O-CH3}$, is treated once with sodium borohydride, once with an excess of lithium aluminium hydride, which reduces the [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid) into two [alcohols](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-alcohol). Write each product.

**Solution of Exercise 48.7.**

With $\ce{NaBH4}$:

$$
\ce{CH3-CH(OH)-CH2-CH2-CO-O-CH3} .
$$

With $\ce{LiAlH4}$:

$$
\ce{CH3-CH(OH)-CH2-CH2-CH2OH}
$$

(pentane-1,4-diol), plus methanol from the [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid)’s other half.

**Exercise 48.8 ★★.**

On the bar chart of [atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) economies, which reactions keep more than three quarters of the [atoms](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom)? By what factor is the three-step route to ibuprofen better than the six-step one?

**Solution of Exercise 48.8.**

The addition ($100\,\%$), the esterification ($83\,\%$) and the three-step route to ibuprofen ($77\,\%$). $77.4/40.0 = 1.9$: almost twice as good.

**Exercise 48.9 ★★.**

Aspirin is made by $\ce{C7H6O3 + C4H6O3 -> C9H8O4 + C2H4O2}$. Compute its [atom economy](#def-g12-synthesis-strategy-atom-economy) and the mass of by-product per kilogram of aspirin.

**Solution of Exercise 48.9.**

$180.0/(138.0 + 102.0) = 75.0\,\%$. Ethanoic acid: $60.0/180.0 = 0.333\,\mathrm{kg}$ per kilogram of aspirin.

**Exercise 48.10 ★★.**

Why is a [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) heated under reflux rather than in an open flask? Which of the two, rate or [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield), does the heating improve?

**Solution of Exercise 48.10.**

The heating speeds up the reaction; the condenser returns the vapours to the flask, so that no [reactant](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) or [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) is lost. Heating improves the rate, not the final [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield).

**Exercise 48.11 ★★.**

On the figure of the two ibuprofen routes, count the steps and say which principles of [green chemistry](#def-g12-synthesis-strategy-green-chemistry) the newer route applies. Give three.

**Solution of Exercise 48.11.**

Six steps against three. Principles: prevent waste (1), maximise [atom economy](#def-g12-synthesis-strategy-atom-economy) (2), use [catalysts](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) (9); also fewer steps, less energy (6).

**Exercise 48.12 ★★★.**

A three-step [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) has [yields](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of $80\,\%$, $70\,\%$ and $90\,\%$. Compute the overall [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield). What amount of starting material is needed to obtain $0.10\,\mathrm{mol}$ of final product, one [mole](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-amount) of starting material giving at best one [mole](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-amount) of product?

**Solution of Exercise 48.12.**

$0.80 \times 0.70 \times 0.90 = 0.504$: $50.4\,\%$. Starting material: $0.10/0.504 = 0.20\,\mathrm{mol}$.

**Exercise 48.13 ★★★.**

Plan the [synthesis](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-synthesis) of the dipeptide Ala–Gly (the acid of alanine bonded to the [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of glycine): which groups do you protect, and how many steps does the plan take?

**Solution of Exercise 48.13.**

Protect the [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of alanine ($\ce{Z}$) and the acid of glycine (methyl [ester](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-carboxylic-acid)); form the [amide](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) bond between the free acid of alanine and the free [amine](https://one-course.com/books/chemistry/1/en/chapter/33-functional-groups-and-families#def-g11-functional-groups-amine) of glycine; remove both [protecting groups](#def-g12-synthesis-strategy-protecting-group). Three stages, that is five reactions if each protection and deprotection is counted.

**Exercise 48.14 ★★★.**

A company calls its process “green” because it uses a [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst). The process runs at $250\,{}^{\circ}\mathrm{C}$ in benzene, a toxic [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute), and its [atom economy](#def-g12-synthesis-strategy-atom-economy) is $35\,\%$. Judge the claim, principle by principle.

**Solution of Exercise 48.14.**

The [catalyst](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) applies principle 9. But $250\,{}^{\circ}\mathrm{C}$ goes against principle 6, benzene against principles 3 and 5, and an [atom economy](#def-g12-synthesis-strategy-atom-economy) of $35\,\%$ against principle 2: $65/35 = 1.9\,\mathrm{kg}$ of waste per kilogram of product. One green feature does not make a green process.

**Exercise 48.15 ★★★.**

Caffeine is extracted from coffee beans either with dichloromethane, a volatile chlorinated [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute), or with supercritical carbon dioxide at about $40\,{}^{\circ}\mathrm{C}$ and $100\,\mathrm{bar}$. Explain why the second is supercritical, why it needs a strong vessel, and give two advantages it has over the first.

**Solution of Exercise 48.15.**

$40\,{}^{\circ}\mathrm{C}$ and $100\,\mathrm{bar}$ are above the critical point of carbon dioxide, $31\,{}^{\circ}\mathrm{C}$ and $73.8\,\mathrm{bar}$. The pressure is a hundred times atmospheric pressure: the vessel is thick steel. Carbon dioxide is neither toxic nor flammable, and it turns back into a gas leaving no residue, and can be reused; no chlorinated [solvent](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute) escapes.

## 48.7 Problem: Two Routes to Ibuprofen

**Problem 48.1.**

Weekend problem — how much waste does the three-step route avoid per tonne of ibuprofen?

The older route to ibuprofen $\ce{C13H18O2}$ takes six steps. Added together, its [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) are $\ce{C10H14}$, $\ce{C4H6O3}$, $\ce{C4H7ClO2}$, $\ce{C2H5ONa}$, an acid counted as $\ce{H3O}$, $\ce{NH3O}$ and two $\ce{H2O}$. The newer route takes three steps:

$$
\ce{C10H14 + C4H6O3 + H2 + CO -> C13H18O2 + C2H4O2} .
$$

**Part I — The equations.**

1. Check that the equation of the newer route is balanced in carbon, hydrogen and oxygen.
2. Name the by-product of the newer route.
3. In the older route, which elements of the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) end up entirely in the waste?
4. Which of the two routes uses [catalysts](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) ? Which principle does that apply?

**Part II — [Atom](https://one-course.com/books/chemistry/1/en/chapter/11-atoms-and-molecules#def-g7-atoms-and-molecules-atom) economies.**

5. Compute the [molar mass](https://one-course.com/books/chemistry/1/en/chapter/25-the-mole-and-molar-mass#def-g10-the-mole-molar-mass) of ibuprofen.
6. Compute the sum of the molar masses of the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) of the older route.
7. Deduce its [atom economy](#def-g12-synthesis-strategy-atom-economy) .
8. Compute the sum of the molar masses of the [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) of the newer route.
9. Deduce its [atom economy](#def-g12-synthesis-strategy-atom-economy) .
10. What does it become if the ethanoic acid is counted as a product?

**Part III — Waste per tonne.**

11. For the older route, at $100\,\%$ [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) , what mass of [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) is bought per tonne of ibuprofen?
12. What mass of waste does it give per tonne?
13. Same question for the newer route: mass of [reactants](https://one-course.com/books/chemistry/1/en/chapter/12-chemical-reactions-reactants-and-products#def-g7-chemical-reactions-reactant) per tonne.
14. Mass of ethanoic acid per tonne.
15. What mass of waste per tonne is avoided if the ethanoic acid is counted as waste?

**Part IV — [Yields](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) and the real world.**

16. Suppose that every step has a [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of $90\,\%$ . Compute the overall [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) of the older route.
17. Same for the newer route.
18. Give one more reason why fewer steps mean less waste, besides the equation.
19. In practice the ethanoic acid is recovered and used. What mass of waste per tonne does the newer route then give, at $100\,\%$ [yield](https://one-course.com/books/chemistry/1/en/chapter/28-synthesis-yield-and-purity#def-g10-synthesis-yield-yield) ?
20. State the final answer: how much waste does the three-step route avoid per tonne of ibuprofen?

**Solution of Problem 48.1.**

**1.** C: $10 + 4 + 1 = 15 = 13 + 2$; H: $14 + 6 + 2 = 22 = 18 + 4$; O: $3 + 1 = 4 = 2 + 2$.

**2.** Ethanoic acid, $\ce{C2H4O2}$.

**3.** Nitrogen, chlorine and sodium: ibuprofen holds only carbon, hydrogen and oxygen.

**4.** The newer one: principle 9, [catalysts](https://one-course.com/books/chemistry/1/en/chapter/42-catalysis#def-g12-catalysis-catalyst) rather than stoichiometric [reagents](https://one-course.com/books/chemistry/1/en/chapter/10-identifying-substances#def-g7-identifying-substances-characteristic-test).

**5.** $13 \times 12.0 + 18 \times 1.0 + 2 \times 16.0 =
206.0\,\mathrm{g}/\mathrm{mol}$.

**6.** $134.0 + 102.0 + 122.5 + 68.0 + 19.0 + 33.0 + 36.0 =
514.5\,\mathrm{g}/\mathrm{mol}$.

**7.** $206.0/514.5 = 40.0\,\%$.

**8.** $134.0 + 102.0 + 2.0 + 28.0 = 266.0\,\mathrm{g}/\mathrm{mol}$.

**9.** $206.0/266.0 = 77.4\,\%$.

**10.** $(206.0 + 60.0)/266.0 = 100\,\%$ on paper; over $99\,\%$ in practice.

**11.** $514.5/206.0 = 2.50\,\mathrm{t}$.

**12.** $2.50 - 1 = 1.50\,\mathrm{t}$.

**13.** $266.0/206.0 = 1.29\,\mathrm{t}$.

**14.** $60.0/206.0 = 0.29\,\mathrm{t}$.

**15.** $1.50 - 0.29 = 1.21\,\mathrm{t}$.

**16.** $0.90^6 = 0.53$: $53\,\%$.

**17.** $0.90^3 = 0.73$: $73\,\%$.

**18.** Each step uses [solvents](https://one-course.com/books/chemistry/1/en/chapter/9-solutions-and-solubility#def-g6-solutions-and-solubility-solute), separations and purifications, and loses some product: fewer steps, fewer of these losses.

**19.** Almost none: its only by-product is used.

**20.** The three-step route avoids about $1.5\,\mathrm{t}$ of waste per tonne of ibuprofen ($1.2\,\mathrm{t}$ even if its ethanoic acid were thrown away).