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Change · The laws of chemical reactions

Law of Conservation of Matter (Lavoisier)

Before you start, make sure you know: Measurement errors and instruments (Secondary Year 2)

You light a candle on a scale and, as time goes by, the reading goes down. You burn a piece of steel wool (the kind used to scrub pots and pans) and, instead, it weighs more. Is matter created or destroyed in a chemical reaction? The answer, which took centuries to arrive, is no: matter only changes place.

Lavoisier's Experiment

Antoine Lavoisier worked in Paris at the end of the 18th century. Before him, many chemists weighed the solids and liquids in a reaction, but they didn't worry about the gases that came in or went out. Lavoisier was the first to seal reactions in closed containers and weigh absolutely everything, including the air.

Lavoisier's experiment: a sealed glass retort with liquid mercury and air containing oxygen before heating and, after heating it for twelve days, the same retort with red mercury oxide powder on top of the mercury and less oxygen in the air. The total mass does not change. air (with oxygen) liquid mercury (Hg) sealed retort, before heated 12 days less oxygen mercury + red powder (mercury oxide) sealed retort, after total mass before = total mass after

Stated as word equations: mass of the reactants = mass of the products.

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Complete the sentence with the missing words: "In any chemical reaction, the total mass of the $\dots$ is equal to the total mass of the $\dots$: mass is neither created…

Complete the sentence with the missing words: "In any chemical reaction, the total mass of the $\dots$ is equal to the total mass of the $\dots$: mass is neither created nor $\dots$, it is only transformed."

Solve
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Lucía weighs two solutions in a sealed beaker: before mixing them, the balance reads $185\ \text{g}$. When mixed, a white precipitate appears. The figure shows the…

Lucía weighs two solutions in a sealed beaker: before mixing them, the balance reads $185\ \text{g}$. When mixed, a white precipitate appears. The figure shows the sealed beaker on the balance, before and after mixing.

185 g before ? after

What will the balance read after the reaction? Justify your answer using Lavoisier's law.

Solve

When It Looks Like Mass Changes

The problem is almost always the same: if the reaction releases or uses up a gas and we don't weigh that gas, the scale fools us.

Candle burning on a scale in an open system: oxygen from the air reaches the flame and the carbon dioxide and water vapor escape into the air, so the scale only measures what stays on it. CO₂ and H₂O escape into the air CO₂ H₂O O₂ from the air O₂ from the air candle (wax) 48.2 g scale the scale only «sees» what stays on it

There are also physical changes where nothing is lost: if a $30\ \text{g}$ ice cube melts in a covered glass, the liquid water weighs $30\ \text{g}$. Here there isn't even a chemical reaction: only the state of matter changed.

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We leave a burning candle on a balance, in the open air, and see that the reading gradually decreases, as shown in the figure. Does this mean that matter is being…

We leave a burning candle on a balance, in the open air, and see that the reading gradually decreases, as shown in the figure.

gases into the air candle

Does this mean that matter is being destroyed? Where does the mass go that the balance no longer detects?

Solve
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When cooking with butane gas, the cylinder gradually loses mass. Does this mean that matter disappears? Explain where the mass lost by the cylinder goes.

When cooking with butane gas, the cylinder gradually loses mass. Does this mean that matter disappears? Explain where the mass lost by the cylinder goes.

Solve
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An ice cube of $30\ \text{g}$ melts completely inside a tightly covered glass. How much will the resulting liquid water weigh? Has a chemical reaction taken place?…

An ice cube of $30\ \text{g}$ melts completely inside a tightly covered glass. How much will the resulting liquid water weigh? Has a chemical reaction taken place? Reason your answers.

Solve
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We dissolve an effervescent tablet of $4\ \text{g}$ in an open glass with $150\ \text{g}$ of water. When the bubbling stops, the glass with its contents weighs…

We dissolve an effervescent tablet of $4\ \text{g}$ in an open glass with $150\ \text{g}$ of water. When the bubbling stops, the glass with its contents weighs $152\ \text{g}$. The figure shows the open glass on the balance.

152 g gas = ?
  1. a) What mass of gas has escaped into the air?
  2. b) How much would the whole assembly weigh if the experiment had been carried out in a sealed container?
Solve

Calculating with Lavoisier's Law

If you break down $18.0\text{ g}$ of water with electricity and get $16.0\text{ g}$ of oxygen, can you figure out how much hydrogen formed without weighing it? Yes: the law lets you calculate a mass you don't know if you know the others.

Move the coefficients in the interactive: the number of carbon and oxygen atoms has to be the same on both sides of the arrow, because they are the same atoms before and after.

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In a reaction, $12\ \text{g}$ of carbon combine exactly with $32\ \text{g}$ of oxygen, with nothing left over, as shown in the diagram. What mass of carbon dioxide is…

In a reaction, $12\ \text{g}$ of carbon combine exactly with $32\ \text{g}$ of oxygen, with nothing left over, as shown in the diagram.

C 12 g carbon + O O 32 g oxygen O C O ? carbon dioxide

What mass of carbon dioxide is formed?

Solve
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When heating $10\ \text{g}$ of copper in the presence of air, $12.5\ \text{g}$ of copper oxide are formed, as shown in the diagram. Why does the oxide weigh more than…

When heating $10\ \text{g}$ of copper in the presence of air, $12.5\ \text{g}$ of copper oxide are formed, as shown in the diagram.

Cu 10 g copper + O O ? oxygen Cu O 12.5 g copper oxide

Why does the oxide weigh more than the copper it comes from? What mass of oxygen has combined?

Solve
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A magnesium ribbon of $6\ \text{g}$ burns in air, and $10\ \text{g}$ of powdered magnesium oxide are collected. a) What mass of oxygen from the air has combined with the…

A magnesium ribbon of $6\ \text{g}$ burns in air, and $10\ \text{g}$ of powdered magnesium oxide are collected.

  1. a) What mass of oxygen from the air has combined with the magnesium?
  2. b) If we burned $12\ \text{g}$ of magnesium with excess oxygen, what mass of oxide would we obtain?
Solve
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An iron nail of $28\ \text{g}$ is left outdoors, and when it has completely rusted, the iron oxide formed weighs $40\ \text{g}$. a) What mass of oxygen has been bound…

An iron nail of $28\ \text{g}$ is left outdoors, and when it has completely rusted, the iron oxide formed weighs $40\ \text{g}$.

  1. a) What mass of oxygen has been bound from the air?
  2. b) Express that mass of oxygen in milligrams.
Solve

Open and Closed Containers

To check the law in the lab, you have to think carefully about the setup: if any gas can escape uncontrolled, the check fails even though the law is true.

Comparison of two scales with an effervescent tablet dissolving in water, both at 150.0 g at the start: in the open glass the carbon dioxide escapes into the air and the scale reads 148.8 g; in the stoppered closed flask the gas stays inside and the mass is still 150.0 g. Open container Closed container initial mass: 150.0 g initial mass: 150.0 g 148.8 g CO₂ The CO₂ escapes into the air: the scale reads less mass 150.0 g stopper CO₂ trapped The CO₂ stays inside: the mass does not change
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Inside an airtight glass bell jar, there are $250\ \text{g}$ of air and a candle of $20\ \text{g}$. We light it, and after a while, the candle weighs $14\ \text{g}$. The…

Inside an airtight glass bell jar, there are $250\ \text{g}$ of air and a candle of $20\ \text{g}$. We light it, and after a while, the candle weighs $14\ \text{g}$. The figure shows the sealed bell jar.

air 250 g candle 20 g → 14 g total mass = ?
  1. a) What is the total mass of the contents of the bell jar at that moment?
  2. b) By how much has the mass of the air mixed with the gases produced increased?
Solve
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An open container contains $200\ \text{g}$ of hydrogen peroxide, which decomposes slowly, releasing oxygen gas. When the decomposition finishes, $184\ \text{g}$ of water…

An open container contains $200\ \text{g}$ of hydrogen peroxide, which decomposes slowly, releasing oxygen gas. When the decomposition finishes, $184\ \text{g}$ of water remains.

  1. a) What mass of oxygen has escaped from the container?
  2. b) Explain why this result does not contradict the law of conservation of mass.
Solve
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Design an experiment using a bottle, a balloon, vinegar and bicarbonate of soda to demonstrate the law of conservation of mass even when a gas is given off in the…

Design an experiment using a bottle, a balloon, vinegar and bicarbonate of soda to demonstrate the law of conservation of mass even when a gas is given off in the reaction. Describe the setup step by step, predict what the balance will read before and after the reaction, and point out two experimental errors that could ruin the verification.

Solve

Checking the Law with Precision

In the lab, scales are never perfect. When results don't match exactly, you have to tell the difference between a small measurement error and a real contradiction of the law.

Two scale readings of the same sealed flask: before the reaction 164.8 g and after 164.6 g; the 0.2 g difference is within the measurement error. before after 164.8 g 164.6 g reaction sealed flask difference: 0.2 g within the measurement error
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In a lime kiln, $100\ \text{kg}$ of limestone are heated to produce $56\ \text{kg}$ of quicklime. a) A worker claims: "Mass has been lost, so Lavoisier was wrong."…

In a lime kiln, $100\ \text{kg}$ of limestone are heated to produce $56\ \text{kg}$ of quicklime.

  1. a) A worker claims: "Mass has been lost, so Lavoisier was wrong." Explain to him why this is not the case.
  2. b) Calculate the mass of carbon dioxide that has escaped through the chimney.
  3. c) How would you repeat the experiment to test the law of conservation of mass directly?
Solve
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Lavoisier heated mercury for twelve days in a retort (a sealed glass vessel) containing air. The mercury became covered with a red powder and its mass increased, while…

Lavoisier heated mercury for twelve days in a retort (a sealed glass vessel) containing air. The mercury became covered with a red powder and its mass increased, while the air inside lost part of its volume. The figure shows the sealed retort.

air red powder mercury
  1. a) Why did the mass of the mercury increase?
  2. b) Where did the gained mass come from?
  3. c) Explain why the total mass of the sealed retort did not change during the experiment.
Solve
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A group of students checks the conservation of mass in a precipitation reaction and notes down: mass before mixing, $164.8\ \text{g}$; mass after, $164.6\ \text{g}$. a)…

A group of students checks the conservation of mass in a precipitation reaction and notes down: mass before mixing, $164.8\ \text{g}$; mass after, $164.6\ \text{g}$.

  1. a) Do these data refute Lavoisier's law?
  2. b) Calculate the difference between both measurements and express it in milligrams.
  3. c) Give two possible experimental causes for this slight discrepancy.
Solve

Back to the beginning: the candle seems to lose mass because its products (CO₂ and water vapor) escape into the air as invisible gases, while the steel wool weighs more when it burns because it traps oxygen from the air and forms solid iron oxide. If you do both combustions in a closed container, the scale doesn't change.

Summary

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