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Antoine Lavoisier

Antoine-Laurent de Lavoisier

A course in two strands: the life of the tax farmer and academician who made the balance the arbiter of chemistry and died on the guillotine, and the quantitative science he built from it, from the conservation of mass to the heat of respiration.

Born 26 August 1743, Paris Died 8 May 1794, Paris Traité élémentaire de chimie 1789 Level advanced undergraduate
The twelve-day experiment of the Traité. Heated mercury takes up about one sixth of the enclosed air (50 → 42–43 cubic inches) and forms 45 grains of red calx.
Lesson 00

How to use this course

Antoine Lavoisier is called the founder of modern chemistry. His method was a physicist’s: he weighed everything that entered and left a reaction, gases included, and insisted that the totals balance. With that rule he overturned the phlogiston theory, identified oxygen’s role in combustion, showed that water is a compound, and reorganized the names of substances. With Pierre-Simon Laplace he turned heat into a measurable quantity and showed that breathing is a slow combustion.

Prerequisites for Part II
  • Secondary-school chemistry: formulas, moles, balancing equations.
  • The ideal gas law \(pV=nRT\).
  • Heat capacity and latent heat at the level of a first physics course.

Each technical lesson opens with a paragraph for the general reader, then states the key results precisely, reconstructs Lavoisier’s numbers in modern units and ends with exercises whose solutions are folded. Old French units appear because his data were recorded in them: 1 livre (pound) = 16 onces (ounces) = 489.5 g, 1 once = 8 gros = 576 grains, so 1 grain ≈ 53.1 mg; 1 pouce (inch) ≈ 2.707 cm, so 1 cubic inch ≈ 19.84 cm³.

Reference

Timeline

1743Born 26 August in Paris, son of Jean-Antoine Lavoisier, an attorney at the Parlement of Paris.
1748His mother dies; he inherits a fortune.
1754–61Collège des Quatre-Nations (Collège Mazarin). Mathematics and astronomy with Nicolas-Louis de Lacaille.
1763–64Bachelor’s degree and licence in law. Attends Guillaume-François Rouelle’s chemistry lectures; reads his first paper to the Academy, on gypsum.
1766Gold medal from the king for an essay on the lighting of Paris streets.
1767Geological survey of Alsace and Lorraine with Jean-Étienne Guettard.
1768Elected to the Academy of Sciences. Buys a share in the Ferme générale, the private company that collected indirect taxes.
1771December: marries Marie-Anne Pierrette Paulze, aged thirteen.
1772November: deposits a sealed note with the Academy: phosphorus and sulfur gain weight when they burn, by fixing air.
1774Calcination of tin in sealed vessels. Autumn: Joseph Priestley, visiting Paris, describes the gas he obtained from mercury calx.
177526 April: the “Easter memoir” on the principle that combines with metals during calcination. Appointed a commissioner of the Gunpowder Administration; moves into the Arsenal.
1777–79Theory of combustion without phlogiston; names the respirable part of air oxygène.
1782–83Winter: ice calorimeter experiments with Laplace. June 1783: memoir on heat; synthesis of water.
1784Decomposes water over red-hot iron with Jean-Baptiste Meusnier.
1787Méthode de nomenclature chimique, with Louis-Bernard Guyton de Morveau, Claude-Louis Berthollet and Antoine-François Fourcroy.
1789Traité élémentaire de chimie. Respiration experiments with Armand Seguin begin.
1791Works on the commission of weights and measures that proposes the metric system. Attacked in print by Jean-Paul Marat.
17938 August: the Academy is suppressed. November: arrest of all former tax farmers ordered; he gives himself up.
17948 May: tried, condemned and guillotined in Paris with 27 other former tax farmers, including his father-in-law.
Part I · Formation
Lesson 01

Paris, 1743–1764

Antoine-Laurent Lavoisier was born in Paris on 26 August 1743. His father was an attorney at the Parlement of Paris, and the family was prosperous. His mother died when he was five, leaving him a substantial inheritance.

In 1754 he entered the Collège des Quatre-Nations, known as the Collège Mazarin, one of the best schools of the University of Paris. Besides the classics he studied mathematics and astronomy with the abbé Nicolas-Louis de Lacaille, an astronomer who had mapped the southern sky from the Cape of Good Hope. From Lacaille he learned the habits of careful measurement that later shaped his chemistry.

Family tradition pointed to the law. He took a bachelor’s degree in law in 1763 and the licence in 1764 and was admitted to the bar, but never practised. At the same time he attended the public chemistry lectures of Guillaume-François Rouelle at the Jardin du Roi. Rouelle taught chemistry in the tradition of Georg Ernst Stahl, in which burning releases a principle called phlogiston. Lavoisier’s first paper read to the Academy of Sciences analysed gypsum and the water it takes up when plaster sets.

Lesson 02

Geology, the Academy and the tax farm, 1763–1771

The naturalist Jean-Étienne Guettard, a friend of the family, took Lavoisier on field trips from 1763 and enlisted him in a project for a mineralogical atlas of France. In 1767 they surveyed Alsace and Lorraine together. Lavoisier recorded rock layers in sequence and with numbers, and his notes on the alternation of marine and shore deposits are now read as an early contribution to stratigraphy.

In 1766 the Academy’s competition on the best way to light the streets of Paris earned him a gold medal from the king. In 1768, at 25, he was elected to the Academy of Sciences. The same year he bought a share in the Ferme générale, the company of financiers who collected the indirect taxes on salt, tobacco and goods entering Paris on the crown’s behalf. The investment gave him an income large enough to pay for his laboratory. It also tied him to the most hated institution of the old regime, a fact that would cost him his life.

Lesson 03

Marriage, the Arsenal and the turn to air, 1771–1775

In December 1771 Lavoisier married Marie-Anne Pierrette Paulze, the thirteen-year-old daughter of a senior tax farmer. She became his scientific partner. She learned English to translate British chemistry for him, studied drawing with Jacques-Louis David and made the engravings of apparatus in the Traité, kept laboratory records, and hosted the gatherings where his ideas were argued over. In 1788 she published a French translation of Richard Kirwan’s Essay on Phlogiston with critical notes by the new school.

The sealed note

In 1772 Lavoisier turned to combustion. In November he deposited a sealed note with the Academy, a standard way of establishing priority: sulfur and phosphorus gain weight when burned, because they absorb air, and the same is probably true of metals when they are calcined. In February 1773 he wrote in his notebook that he expected his work to produce a revolution in physics and chemistry.

In 1774 he heated tin in sealed glass vessels and showed that the total weight did not change; when the vessel was opened air rushed in, and the gain in weight matched the weight of the calx formed. In the autumn of that year the English chemist Joseph Priestley, visiting Paris, told him of a new air obtained by heating the red calx of mercury, in which a candle burned brilliantly. Carl Wilhelm Scheele in Sweden had prepared the same gas independently. Lavoisier took up the experiment and, on 26 April 1775, read his “Easter memoir” on the principle that combines with metals during calcination.

In 1775 he became one of four commissioners of the royal Gunpowder Administration and moved into the Arsenal in Paris, where he lived and kept his laboratory until 1792.

Part II · The chemistry and physics
Lesson 04

The balance and the conservation of mass

For the general reader. Burn a log and the ash weighs much less than the wood. Rust iron and it gets heavier. Lavoisier insisted that matter is neither lost nor gained in such changes: if you also weigh the gases that leave and enter, the totals agree. He used this rule as the foundation of all chemical reasoning.

Goals
  • State the conservation of mass as Lavoisier used it.
  • Apply it to the sealed-vessel experiments and to fermentation.
  • Know its modern limits.
Principle (conservation of mass, Traité, 1789)

In every operation of art or nature, the quantity of matter is the same before and after; only its combinations change. Consequently, for a chemical process in a closed vessel, the total weight of the reactants equals the total weight of the products.

Earlier chemists had often assumed something like this. Lavoisier made it an explicit axiom and a working tool. In the Traité’s chapter on vinous fermentation he wrote, in effect, an equation: the must of grapes equals carbonic acid plus alcohol, and from the weights of all the products he deduced the composition of sugar. A chemical equation is a balance sheet in this sense, and each element must balance separately.

Limits

In special relativity, the conserved quantity is energy, and a system’s rest mass changes by \(\Delta E/c^2\) when it gives off energy \(\Delta E\). For chemical reactions \(\Delta E\) is a few hundred kilojoules per mole, so the mass change is of order \(10^{-9}\) of the total, far below any balance.

Exercise 4.1Check the conservation of mass for alcoholic fermentation, \(\mathrm{C_6H_{12}O_6}\to2\,\mathrm{C_2H_5OH}+2\,\mathrm{CO_2}\), using atomic masses C = 12.011, H = 1.008, O = 15.999. What fraction of the sugar’s mass escapes as gas?

Show solution
Glucose: \(6(12.011)+12(1.008)+6(15.999)=180.156\). Ethanol: \(2(12.011)+6(1.008)+15.999=46.069\); two give 92.138. Carbon dioxide: \(12.011+2(15.999)=44.009\); two give 88.018. Sum: 180.156. The gas carries off \(88.018/180.156\approx48.9\%\) of the mass, which is why an open fermentation seems to lose matter.

Exercise 4.2In a sealed retort, 100.0 g of tin is heated in air until 20 g of tin has become calx \(\mathrm{SnO_2}\). (Sn = 118.71.) By how much does the retort’s weight change before opening, and how much does it gain after opening?

Show solution
Before opening, no change: the oxygen came from the air inside. The calx contains \(20\times(2\times15.999)/118.71\approx5.39\) g of oxygen. On opening, fresh air enters to replace the oxygen consumed, so the retort gains about 5.4 g, equal to the gain in weight of the metal. This was Lavoisier’s 1774 argument against Robert Boyle’s view that particles of fire passed through the glass.

Exercise 4.3Burning one mole of methane releases about 890 kJ. Estimate the relative change in mass of the reacting system.

Show solution
\(\Delta m=8.9\times10^5/(3.0\times10^8)^2\approx9.9\times10^{-12}\) kg, about \(10^{-8}\) g. The reactants (\(\mathrm{CH_4}+2\mathrm{O_2}\)) weigh 80 g, so the fraction is about \(1.2\times10^{-10}\).
Lesson 05

Calcination, combustion and oxygen

For the general reader. The phlogiston theory said that a burning body gives something off. Lavoisier showed that it takes something in: a particular part of the air, which he named oxygen. A metal “calx”, what we call an oxide, is the metal plus oxygen, not the metal minus phlogiston.

Goals
  • Compare the phlogiston and oxygen accounts of calcination and reduction.
  • Reconstruct the mercury calx experiment quantitatively.
  • Use weight gains to determine formulas.

Two theories

In Stahl’s theory, metal = calx + phlogiston. Calcination releases phlogiston into the air; heating the calx with charcoal, rich in phlogiston, restores the metal. The theory explained a great deal qualitatively. But calxes weigh more than their metals, so phlogiston would have to weigh less than nothing, or the theory needed further assumptions. Lavoisier’s reading is the reverse:

\[ \text{metal}+\text{oxygen}\longrightarrow\text{calx},\qquad \text{calx}+\text{carbon}\longrightarrow\text{metal}+\text{fixed air}. \]

The mercury experiments

Mercury calx is special: it gives up its oxygen on stronger heating alone, without charcoal. This made a closed cycle possible. In the version described in chapter 3 of the Traité, Lavoisier heated mercury near its boiling point for twelve days in a retort whose neck opened under a bell jar of air over mercury.

Data (Traité, Part I, chapter 3)

About 50 cubic inches of air shrank to 42–43 cubic inches, about five sixths of the original. The residual air extinguished flames and suffocated animals. 45 grains of red calx formed. Heated strongly on its own, the calx gave back 41½ grains of mercury and 7–8 cubic inches of a gas in which a candle burned with dazzling brightness. Mixing the two airs again restored ordinary air.

The experiment is a full analysis and synthesis: air is separated into two components and recombined, and mercury goes round a cycle, with the balance and the measured volumes accounting for each step. In the late 1770s Lavoisier named the active part oxygène, from Greek for “acid-former”, because he believed it to be a constituent of every acid. The second half of the name was mistaken: hydrochloric acid contains no oxygen, as Humphry Davy showed in 1810.

Exercise 5.1From the data, compute the mass of oxygen in the 45 grains of calx. Using Hg = 200.59 and O = 16.00, what mass of oxygen should 41½ grains of mercury take up to form HgO? Convert to a volume at 0 °C and 1 atm (molar volume 22.4 L), and compare with the 7–8 cubic inches recovered.

Show solution
By difference, \(45-41.5=3.5\) grains. Theory: \(41.5\times16.00/200.59\approx3.31\) grains. At 53.1 mg per grain, 3.31 grains is 0.176 g, or \(0.176/32.0=5.5\times10^{-3}\) mol of \(\mathrm O_2\), occupying 0.123 L = 123 cm³ ≈ 6.2 cubic inches. Lavoisier measured at a higher temperature (about 12.5 °C) and recovered some gas from the residual air of the apparatus, so 7–8 cubic inches is in reasonable agreement.

Exercise 5.2Lavoisier reports that 100 grains of iron burned in pure air give 135–136 grains of black oxide. Which iron oxide fits best: FeO, \(\mathrm{Fe_3O_4}\) or \(\mathrm{Fe_2O_3}\)? (Fe = 55.85.)

Show solution
Oxide mass per 100 of iron: FeO, \(100\times71.85/55.85=128.6\); \(\mathrm{Fe_3O_4}\), \(100\times231.5/167.6=138.2\); \(\mathrm{Fe_2O_3}\), \(100\times159.7/111.7=143.0\). The black oxide is \(\mathrm{Fe_3O_4}\), magnetite, with incomplete combustion explaining the slightly low gain.

Exercise 5.3A phlogistonist says that 100 g of lead loses phlogiston and becomes 107.7 g of litharge (PbO). What “weight” must the phlogiston have? Give the oxygen account. (Pb = 207.2.)

Show solution
The phlogiston would weigh \(-7.7\) g, a negative weight. On Lavoisier’s account, \(100\times16.00/207.2=7.7\) g of oxygen is taken from the air, which a sealed-vessel experiment confirms.
Lesson 06

Measuring gases: the composition of air

For the general reader. To balance a reaction that involves air, you must weigh gases. Since that is hard, you measure volumes and convert. Lavoisier corrected every volume for the pressure and temperature of the day and used gas densities to turn volumes into weights. This made pneumatic chemistry part of quantitative physics.

Goals
  • Reduce gas volumes to standard conditions.
  • Convert volumes to masses with densities.
  • Interpret Lavoisier’s estimates of the composition of air.

The Traité reduced gas volumes to a barometric height of 28 French inches (about 758 mm of mercury) and a temperature of 10° on the Réaumur scale (12.5 °C). Boyle’s law, \(pV\) constant at fixed temperature, was known; the linear expansion of gases with temperature was being measured in his time and was established by Joseph-Louis Gay-Lussac in 1802. In modern form:

Combined gas law

For a fixed amount of gas, \(\dfrac{p_1V_1}{T_1}=\dfrac{p_2V_2}{T_2}\) with \(T\) absolute temperature. The mass of gas is \(m=\rho V\), where at fixed \(p,T\) the density \(\rho=pM/RT\) is proportional to the molar mass \(M\).

From the mercury experiment Lavoisier concluded that about one sixth of air was respirable. Elsewhere in the Traité he gave a better estimate of about 27 parts respirable air to 73 of azote (nitrogen) by volume. The modern dry-air value is about 21% oxygen. Slow calcination never removed all the oxygen, so the mercury method underestimated it.

Exercise 6.1A gas sample occupies 50.0 cubic inches at 27 French inches of mercury and 15° Réaumur. Reduce it to Lavoisier’s standard of 28 inches and 10° Réaumur. (Réaumur degrees are \(\tfrac54\) of Celsius degrees.)

Show solution
\(T_1=273.15+18.75=291.9\) K, \(T_2=273.15+12.5=285.65\) K. \(V_2=50.0\times\frac{27}{28}\times\frac{285.65}{291.9}\approx47.2\) cubic inches. Errors of several percent arise if the correction is skipped, enough to spoil a mass balance.

Exercise 6.2In the twelve-day experiment the air lost about 7.5 of 50 cubic inches. If air is in fact 21% oxygen, what fraction of the oxygen was absorbed? What would the residue be if all were absorbed?

Show solution
Oxygen present: \(0.21\times50=10.5\) cubic inches. Absorbed: \(7.5/10.5\approx71\%\). Complete absorption would leave 39.5 cubic inches, a loss of about one fifth rather than one sixth.

Exercise 6.3Show that a litre of oxygen weighs about \(32/28\) as much as a litre of nitrogen at the same \(p,T\), and compute the mass of 1 cubic inch of dry air at 0 °C and 1 atm.

Show solution
At equal \(p,T\), equal volumes hold equal numbers of molecules (Avogadro), so densities are as molar masses: \(32/28\approx1.14\). Air has \(M\approx28.96\) g/mol, so \(\rho=28.96/22414\ \mathrm{g\,cm^{-3}}\approx1.29\times10^{-3}\ \mathrm{g\,cm^{-3}}\), and 19.84 cm³ weigh about 25.6 mg, roughly half a grain.
Lesson 07

Water is not an element

For the general reader. Since antiquity water had been one of the four elements. In 1783 Lavoisier burned “inflammable air”, our hydrogen, in oxygen and obtained water; the next year he did the reverse, passing steam over red-hot iron to split water into its parts. Both directions, weighed, showed that water is a compound of two gases.

Goals
  • Follow the synthesis and the analysis of water.
  • Compute mass ratios and compare with Lavoisier’s figures.
  • See why this result was decisive against phlogiston.

Henry Cavendish had isolated inflammable air in 1766 and found by 1781 that burning it with common air produced water. In June 1783 Charles Blagden, visiting Paris, reported this to Lavoisier, who with Laplace immediately burned the two gases together and collected water. Lavoisier, unlike Cavendish, drew the conclusion that water is a compound of the two airs and named the inflammable one hydrogène, “water-former”. In 1784, with the engineer Jean-Baptiste Meusnier, he decomposed water by passing steam through a red-hot iron gun barrel: the iron gained weight as it oxidized and hydrogen came out at the far end. In 1785 they carried out a large public synthesis and analysis before members of the Academy.

Reactions \[ 2\,\mathrm{H_2}+\mathrm{O_2}\longrightarrow2\,\mathrm{H_2O},\qquad 3\,\mathrm{Fe}+4\,\mathrm{H_2O}\longrightarrow\mathrm{Fe_3O_4}+4\,\mathrm{H_2}. \]

By mass, water is 88.8% oxygen and 11.2% hydrogen. Lavoisier’s figure in the Traité was 85 parts oxygen to 15 of hydrogen.

The result removed a central support of the phlogiston theory. Metals dissolving in acids give off inflammable air, which many took to be phlogiston itself. On Lavoisier’s scheme the hydrogen comes from the water in the acid, and the metal takes its oxygen. Every reaction could now be described without phlogiston and with the books balanced.

Exercise 7.1Use H = 1.008, O = 15.999 to compute the mass percentages of water. What ratio of hydrogen to oxygen by volume is needed to make it, and what by mass?

Show solution
\(M=18.015\); O is \(15.999/18.015=88.8\%\), H is 11.2%. By volume 2 : 1 (two molecules of \(\mathrm H_2\) per molecule of \(\mathrm O_2\)), by mass \(4.032:31.998\approx1:7.94\).

Exercise 7.2In the gun-barrel experiment, a barrel gains 32.0 g in weight. How much water was decomposed and how much hydrogen was collected? What volume does the hydrogen occupy at 0 °C and 1 atm?

Show solution
The gain is oxygen: 2.00 mol O, from 2.00 mol \(\mathrm{H_2O}\) = 36.0 g of water. Hydrogen: 2.00 mol \(\mathrm H_2\) = 4.03 g, occupying 44.8 L. The weighed gain of the iron plus the weighed hydrogen equals the weight of water lost from the boiler: the mass balance closes.
Lesson 08

Caloric and the ice calorimeter

For the general reader. How much heat does a burning candle give? In the winter of 1782–83 Lavoisier and the mathematician Pierre-Simon Laplace answered such questions with a vessel packed with ice: whatever heat a body gives off melts ice, and the meltwater is weighed. Their memoir on heat made calorimetry a precise science.

Goals
  • Explain the design and principle of the ice calorimeter.
  • Measure specific heats and heats of reaction with it.
  • State the Lavoisier–Laplace principle and its link to Hess’s law.

The apparatus

The calorimeter had three nested chambers. The body under study sat in an inner wire cage. Around it a middle chamber packed with ice at 0 °C absorbed its heat; the meltwater drained out and was weighed. An outer jacket of ice kept heat from the room from reaching the middle chamber. Because melting ice stays at 0 °C, the measurement is of heat alone, independent of temperature readings.

Principle of the method

If a body releases heat \(Q\) to ice at 0 °C, the mass of ice melted is \(m_{\text{ice}}=Q/L_f\), where \(L_f\approx334\ \mathrm{J\,g^{-1}}\) is the latent heat of fusion. A body of mass \(m\) and specific heat \(c\) cooled from temperature \(\theta\) to 0 °C releases \(Q=mc\theta\), so \(c=L_f\,m_{\text{ice}}/(m\theta)\).

The latent heat of fusion had been discovered by Joseph Black around 1761. Lavoisier explained heat by a weightless fluid, caloric, which he listed among the simple substances. The memoir of 1783 is more cautious: it sets out both the caloric hypothesis and the mechanical one, in which heat is the vis viva of the insensible motions of the particles of bodies, and builds its method on a principle valid under either.

Lavoisier–Laplace principle (1783)

The heat absorbed when a compound is decomposed into given substances equals the heat released when it is formed from them. More generally, if a system returns to its initial state, the net heat exchanged is zero.

In modern terms, the enthalpy \(H\) is a state function: \(\Delta H\) for a reaction depends only on the initial and final states. Germain Henri Hess extended the principle in 1840 to reactions taken by different paths.

Exercise 8.1A 500 g piece of iron at 100 °C is placed in the calorimeter and melts 66 g of ice. Find the specific heat of iron.

Show solution
\(Q=66\times334=2.20\times10^4\) J. \(c=Q/(m\theta)=2.20\times10^4/(500\times100)=0.44\ \mathrm{J\,g^{-1}K^{-1}}\), close to the modern value 0.45.

Exercise 8.2The heats of formation of CO and \(\mathrm{CO_2}\) from graphite and oxygen are \(-110.5\) and \(-393.5\) kJ/mol. Use the Lavoisier–Laplace principle to find the heat released when 1 mol of CO burns to \(\mathrm{CO_2}\).

Show solution
Path C → CO → \(\mathrm{CO_2}\) and path C → \(\mathrm{CO_2}\) start and end in the same states, so \(\Delta H(\mathrm{CO}\to\mathrm{CO_2})=-393.5-(-110.5)=-283.0\) kJ/mol. The CO combustion releases 283.0 kJ.

Exercise 8.3Lavoisier and Laplace burned one ounce of charcoal and collected about 6 pounds 2 ounces of meltwater. Taking charcoal as pure carbon (\(\Delta H=-393.5\) kJ/mol), predict the meltwater. (1 once = 30.59 g, 1 livre = 489.5 g.)

Show solution
\(30.59/12.011=2.547\) mol, releasing \(2.547\times393.5\approx1002\) kJ, which melts \(1.002\times10^6/334\approx3000\) g of ice. Their 6 lb 2 oz is \(6\times489.5+2\times30.59\approx2998\) g. The agreement, to better than one percent, is partly fortunate, since charcoal is not pure carbon; but it shows how good the method was.
Lesson 09

Respiration as slow combustion

For the general reader. Why are animals warm? Lavoisier and Laplace put a guinea pig in the ice calorimeter and measured both the ice it melted and the carbon dioxide it breathed out. Burning charcoal to produce the same amount of carbon dioxide melts nearly the same amount of ice. Breathing, they concluded, is a slow combustion, and it is the source of animal heat.

Goals
  • Reconstruct the guinea pig experiment and its comparison with charcoal.
  • Explain the discrepancy using the oxidation of hydrogen.
  • Connect the result to modern metabolic measurement.
Data (memoir on heat, 1783)

In the calorimeter a guinea pig melted about 13 ounces of ice in 10 hours. In separate trials it produced about 224 grains of fixed air (\(\mathrm{CO_2}\)) in 10 hours. Burning charcoal, each ounce of fixed air formed melted about 26.7 ounces of ice. So the fixed air produced by the animal corresponds to about 10.4 ounces of ice by combustion of carbon.

Lavoisier and Laplace judged 10.4 and 13 close enough, given the different conditions of the two experiments, to conclude that respiration is a combustion of carbon, very slow but otherwise like that of charcoal, taking place in the lungs. Later work by Lavoisier showed that respiration also burns hydrogen to water, which accounts for much of the difference; and the oxidation takes place throughout the tissues, not in the lungs. From 1789 he measured human oxygen consumption with Armand Seguin as the subject, at rest, after meals and while working a treadle, and found that it increased with food, work and cold. The Revolution ended these experiments.

Exercise 9.1Verify the 10.4-ounce figure: 224 grains of \(\mathrm{CO_2}\), with 26.69 ounces of ice per ounce of \(\mathrm{CO_2}\), and 576 grains to the ounce.

Show solution
\(224/576=0.3889\) oz of \(\mathrm{CO_2}\), times 26.69 gives 10.38 oz of ice.

Exercise 9.2Redo the calculation in modern units. Convert 224 grains of \(\mathrm{CO_2}\) to moles, compute the heat if it came from burning carbon (393.5 kJ/mol), and the ice melted. Then compute the heat if it came from oxidizing glucose, \(\mathrm{C_6H_{12}O_6}+6\mathrm{O_2}\to6\mathrm{CO_2}+6\mathrm{H_2O}\), \(\Delta H=-2803\) kJ/mol. Which matches the measured 13 oz (about 400 g) better?

Show solution
\(224\times0.0531=11.9\) g, \(11.9/44.01=0.270\) mol. Carbon: \(0.270\times393.5=106\) kJ, melting 318 g ≈ 10.4 oz. Glucose: \(2803/6=467\) kJ per mol of \(\mathrm{CO_2}\), so \(0.270\times467=126\) kJ, melting 378 g ≈ 12.4 oz. Including the hydrogen oxidized to water brings the prediction close to the measured 13 oz.

Exercise 9.3The respiratory quotient (RQ) is moles of \(\mathrm{CO_2}\) produced per mole of \(\mathrm{O_2}\) consumed. Find it for carbon, for glucose and for the fat tripalmitin, \(\mathrm{C_{51}H_{98}O_6}\).

Show solution
Carbon: \(\mathrm{C}+\mathrm{O_2}\to\mathrm{CO_2}\), RQ = 1. Glucose: 6/6 = 1. Tripalmitin: \(\mathrm{C_{51}H_{98}O_6}+72.5\,\mathrm{O_2}\to51\,\mathrm{CO_2}+49\,\mathrm{H_2O}\), RQ \(=51/72.5\approx0.70\). The RQ below 1 shows hydrogen being burned, the effect Lavoisier later recognized.
Lesson 10

Names, elements and the Traité

For the general reader. Before 1787 chemical substances had names like “oil of vitriol” and “flowers of zinc”, which said nothing about composition. Lavoisier and three colleagues proposed names built from the elements a substance contains. Two years later his Traité set out the new chemistry from first principles, with a list of the simple substances that analysis had not yet split.

Goals
  • Use the 1787 nomenclature.
  • Understand Lavoisier’s operational definition of an element.
  • Read his table of simple substances critically.

The nomenclature

The Méthode de nomenclature chimique (1787), by Guyton de Morveau, Lavoisier, Berthollet and Fourcroy, named compounds from their constituents. Oxygen compounds of a base became oxides; acids with more and less oxygen took endings -ic and -ous (sulfuric, sulfurous); their salts took -ate and -ite (sulfate, sulfite). The system survives, with modifications, in modern inorganic nomenclature.

Definition (element, Traité, 1789)

An element, or simple substance, is a substance that chemical analysis has not been able to decompose. The definition is provisional: a substance remains on the list only until some method decomposes it.

The Traité élémentaire de chimie appeared in 1789; Robert Kerr’s English translation, Elements of Chemistry, followed in Edinburgh in 1790. Its table listed 33 simple substances in four groups: light, caloric, oxygen, azote and hydrogen; non-metallic substances that can be oxidized or acidified (sulfur, phosphorus, carbon and the unknown radicals of muriatic, fluoric and boracic acids); 17 metals; and five salifiable earths (lime, magnesia, baryta, alumina and silica).

Exercise 10.1Give the 1787-style names for: the salt of sulfuric acid and potash; \(\mathrm{Na_2SO_3}\); the compound of lead with oxygen; the salt of nitric acid and lime.

Show solution
Sulfate of potash (potassium sulfate); sulfite of soda (sodium sulfite); oxide of lead; nitrate of lime (calcium nitrate).

Exercise 10.2Which entries in Lavoisier’s list of 33 are not elements today, and why did his own definition keep them there?

Show solution
Light and caloric are not substances. The five earths are oxides (CaO, MgO, BaO, \(\mathrm{Al_2O_3}\), \(\mathrm{SiO_2}\)); Lavoisier suspected they were metal oxides, but no method of his day reduced them. Davy isolated calcium, magnesium and barium by electrolysis in 1808. The muriatic radical turned out to be chlorine, itself an element, once it was recognized that muriatic acid contains no oxygen. His definition kept them because it was operational: undecomposed so far.
Part III · Life and legacy
Lesson 11

Reformer: powder, farming and measures

Lavoisier spent as much time on public administration as on chemistry. At the Gunpowder Administration from 1775 he improved the supply of saltpetre and the quality of French powder, which was exported in quantity during the American War of Independence. Among those he trained at the Arsenal was Éleuthère Irénée du Pont, who later founded a powder works in Delaware.

He ran an experimental farm in the Sologne and served as secretary of the government’s committee on agriculture, reporting in 1788 that the tax system made reform impossible for tenant farmers. He worked on water supply, hospital ventilation and prison conditions, and on a new wall around Paris to stop smuggling, which made the tax farmers still more unpopular. In 1789 he helped found the Annales de chimie, the journal of the new chemistry.

Under the Revolution he served the new regime as a commissioner of the treasury and sat on the Academy’s commission of weights and measures. Its report of March 1791 proposed a unit of length based on the size of the Earth, the start of the metric system, adopted by the National Convention in August 1793. He also wrote on public education and national wealth.

Lesson 12

Revolution, death and legacy, 1791–1794

From January 1791 Jean-Paul Marat, who had once failed to win the Academy’s approval for his own theory of fire, denounced Lavoisier in print as a tax farmer and an enemy of the people. In 1792 Lavoisier left the Arsenal. On 8 August 1793 the Convention abolished the Academy of Sciences along with the other royal academies. In November it ordered the arrest of all former tax farmers, and Lavoisier gave himself up. In December he was removed from the commission of weights and measures.

On 8 May 1794 the Revolutionary Tribunal tried the former tax farmers in a single morning on charges of defrauding the people, and that afternoon Lavoisier was guillotined at the Place de la Révolution with 27 others, among them his father-in-law Jacques Paulze. The story that the presiding judge declared that the Republic needed no savants is a legend. The mathematician Joseph-Louis Lagrange remarked the next day that it had taken only a moment to cut off the head, and a century might not produce another like it. About a year and a half later the government acknowledged that he had been wrongly condemned and returned his property to his widow. Marie-Anne Paulze Lavoisier published his collected memoirs and later married Benjamin Thompson, Count Rumford, whose experiments on cannon boring had argued that heat is motion rather than caloric.

Legacy

  • Method: the closed mass balance, applied to gases as well as solids and liquids, is the basis of quantitative chemistry and chemical engineering.
  • Theory: the oxygen theory of combustion, the compound nature of water and air, and the operational notion of an element, which John Dalton’s atomic theory (1808) turned into a theory of atomic weights.
  • Physics: calorimetry and the principle that the heat of a reaction depends only on initial and final states, a forerunner of the first law of thermodynamics.
  • Physiology: respiration as oxidation and the measurement of metabolism by gas exchange and heat.
  • Language: the systematic nomenclature still taught to every student of chemistry.

Final projectChoose one experiment from Part II. Reconstruct it in full from Lavoisier’s numbers: convert all units, write the balanced equation, compute the predicted results with modern data, and explain each discrepancy in terms of the apparatus or the theory he used.

Reference

Connections

People linked to Antoine Lavoisier across this collection. A name without a link has no page here yet. See Antoine Lavoisier in the network of all 337 lives →

Teachers and advisors

  • Guillaume-François Rouelle
  • Jean-Étienne Guettard 1763-1767
  • Nicolas-Louis de Lacaille 1760-1761

Students

  • Éleuthère Irénée du Pont

Influenced by

Influenced

Colleagues and collaborators

Rivals

Family

  • Marie-Anne Paulze Lavoisier

Also mentioned in this life

Fields

Reference

Sources and further reading

Biography

  1. Antoine Lavoisier, Wikipedia.
  2. American Chemical Society, Antoine-Laurent Lavoisier: The Chemical Revolution, International Historic Chemical Landmark booklet.
  3. D. McKie, Antoine Lavoisier: Scientist, Economist, Social Reformer, Schuman, 1952.
  4. F. L. Holmes, Lavoisier and the Chemistry of Life, University of Wisconsin Press, 1985.
  5. J.-P. Poirier, Lavoisier: Chemist, Biologist, Economist, University of Pennsylvania Press, 1996.

Chemistry and physics

  1. A. Lavoisier, Traité élémentaire de chimie, Paris, Cuchet, 1789; Elements of Chemistry, trans. R. Kerr, Edinburgh, 1790 (Project Gutenberg).
  2. A. Lavoisier and P.-S. Laplace, Mémoire sur la chaleur, Mémoires de l’Académie royale des sciences for 1780 (1784). English excerpt.
  3. L. B. Guyton de Morveau, A. Lavoisier, C. L. Berthollet, A. F. Fourcroy, Méthode de nomenclature chimique, Paris, 1787.
  4. On the early history of thermochemistry and calorimetry, Pure and Applied Chemistry 59 (1987) 91.
  5. Elements of Chemistry, Wikipedia.
  6. H. Guerlac, Lavoisier: The Crucial Year, Cornell University Press, 1961.