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Change · The laws of chemical reactions

The Atomic-Molecular Model

Before you start, make sure you know: Atomic models (from Dalton to Bohr) (Secondary Year 2)

When LP gas burns on the stove, the tank loses gas and the flame disappears, but the matter doesn't just "run out": it turns into other substances. How can everything change without a single gram being lost? The answer came with an idea: all matter is made of atoms, and in a reaction those atoms don't disappear, they just get rearranged.

Atoms that regroup

When an electric current is passed through liquid water, two different gases are produced, hydrogen and oxygen, and the mass of the two gases together equals the mass of the water that was used up. How can one substance turn into totally different ones without any mass left over or missing?

According to the atomic-molecular model, elements are made of atoms, and these join together to form molecules. In a chemical reaction some bonds are broken and others are formed, but atoms are neither created nor destroyed.

Animation of the electrolysis of water: the atoms of the H₂O molecule separate, the two H travel together to form H₂ and the O moves down to join the O of a second water molecule (drawn in a pale tone; its two H would form another H₂, which is not drawn) to form O₂. They keep their color and size, and then everything returns to the initial state. O H H H₂O before electrolysis O O O₂ pale O: from another H₂O H H H₂ the same H atoms

Notice the difference from a physical change. When ice melts or water boils, the $H_2O$ molecules separate or move differently, but they stay intact: that's why steam is still water. In a chemical change the molecules do break apart and their atoms form new molecules.

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Complete the sentence with the missing words: 'According to the atomic-molecular model, all matter is made up of $\dots$. These group together to form $\dots$ and, in a…

Complete the sentence with the missing words: 'According to the atomic-molecular model, all matter is made up of $\dots$. These group together to form $\dots$ and, in a chemical reaction, they do not disappear: they simply $\dots$ to form new substances.'

Solve
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When ice melts, the molecules remain $H_2O$; when water is decomposed by an electric current, $H_2$ and $O_2$ are produced. The figure shows the particles in both…

When ice melts, the molecules remain $H_2O$; when water is decomposed by an electric current, $H_2$ and $O_2$ are produced. The figure shows the particles in both processes.

ice melts water decomposes H₂ O₂

Use the atomic-molecular model to explain which of the two changes is a chemical change and why.

Solve
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When water boils, the $H_2O$ molecules separate from one another, but do not break apart. a) Why is steam still water? b) What would have to happen to the molecules for…

When water boils, the $H_2O$ molecules separate from one another, but do not break apart.

  1. a) Why is steam still water?
  2. b) What would have to happen to the molecules for steam to stop being water?
Solve

Sphere models: elements, compounds, and mixtures

To "see" what can't be seen, chemists use models: colored spheres (made of modeling clay, foam, or drawn) that represent atoms, and toothpicks or lines that represent bonds. Each color is an element.

Sphere model: an element (O₂), a compound (H₂O), and a mixture of loose N₂ and O₂ molecules Element: O₂ a single type of atom Compound: H₂O different atoms joined Mixture: N₂ and O₂ molecules not joined to each other

With this model, the differences are easy to see:

Type What you see in the model Example
Element A single color of sphere $O_2$, $H_2$, $N_2$
Compound Different colors always joined the same way $H_2O$, $CO_2$, $CH_4$
Mixture Several substances together, not joined air: $N_2$ and $O_2$

Air is a mixture: its molecules are loose and can be separated. Water is a compound: the H and O atoms are joined and can't be separated by a physical method.

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In a ball model, black balls are carbon atoms, white balls are hydrogen atoms, and red balls are oxygen atoms. A black ball joined to four white balls represents…

In a ball model, black balls are carbon atoms, white balls are hydrogen atoms, and red balls are oxygen atoms. A black ball joined to four white balls represents methane, $CH_4$.

  1. a) Which molecule is represented by a black ball joined to two red balls?
  2. b) Describe the water molecule using the balls from this model.
Solve
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We want to build a model of the water molecule using modeling clay balls: we use red balls for the oxygen atoms and white balls for the hydrogen atoms. a) How many balls…

We want to build a model of the water molecule using modeling clay balls: we use red balls for the oxygen atoms and white balls for the hydrogen atoms.

  1. a) How many balls of each color do you need for a water molecule?
  2. b) Describe how the balls would be joined together.
Solve
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In air, $N_2$ and $O_2$ molecules are separate and mixed together; in water, hydrogen and oxygen atoms are joined together forming $H_2O$ molecules, as shown in the…

In air, $N_2$ and $O_2$ molecules are separate and mixed together; in water, hydrogen and oxygen atoms are joined together forming $H_2O$ molecules, as shown in the figure.

nitrogen oxygen hydrogen air water

Explain the difference between a mixture and a compound using the atomic-molecular model.

Solve

Sphere model of a reaction

A model isn't only for a single substance: it can also show a whole reaction, with the atoms before and after. Let's take $2\ H_2 + O_2 \rightarrow 2\ H_2O$.

Sphere model of the reaction 2 H₂ + O₂ → 2 H₂O: before, two hydrogen molecules and one oxygen molecule; after, two water molecules with the same 4 H atoms and 2 O atoms Before: 4 H and 2 O After: 4 H and 2 O

This is the method for modeling any reaction: build the reactants, take them apart, and rebuild the products with the same little balls. If you have one left over or one missing, the equation isn't balanced.

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The industrial synthesis of ammonia is written as: $N_2 + 3\ H_2 \rightarrow 2\ NH_3$. a) Design a model using balls (choose a color for each element) to represent this…

The industrial synthesis of ammonia is written as: $N_2 + 3\ H_2 \rightarrow 2\ NH_3$.

  1. a) Design a model using balls (choose a color for each element) to represent this reaction, before and after.
  2. b) Verify, by counting atoms in your model, that conservation of mass is respected.
  3. c) How many ammonia molecules are formed for each nitrogen molecule?
Solve

Reading a chemical formula

A formula like $H_2O$ is an exact recipe of which atoms, and how many, make up the molecule.

Structure of the water molecule illustrating how to interpret chemical subscripts O H H H₂O: 2 H atoms, 1 O atom, 3 in total

The symbols are letters that identify each element: $H$ (hydrogen), $C$ (carbon), $N$ (nitrogen), $O$ (oxygen).

Two identical CO₂ molecules, each with a central carbon atom and two oxygen atoms on the sides: in total 2 C atoms and 4 O atoms 2 CO₂ = two identical molecules C O O CO₂ C O O CO₂ in total: 2 C atoms, 4 O atoms
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The formula of water is $H_2O$. The figure shows its space-filling model. a) How many hydrogen atoms does a water molecule have? b) How many oxygen atoms? c) How many…

The formula of water is $H_2O$. The figure shows its space-filling model.

O H H H₂O
  1. a) How many hydrogen atoms does a water molecule have?
  2. b) How many oxygen atoms?
  3. c) How many atoms are there in total in the molecule?
Solve
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The formula of carbon dioxide is $CO_2$. State which elements form its molecule and how many atoms of each element it contains.

The formula of carbon dioxide is $CO_2$. State which elements form its molecule and how many atoms of each element it contains.

Solve
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Match each chemical symbol to its element: $H$, $O$, $C$ and $N$, with the names hydrogen, carbon, nitrogen and oxygen.

Match each chemical symbol to its element: $H$, $O$, $C$ and $N$, with the names hydrogen, carbon, nitrogen and oxygen.

Solve
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Count carefully: a) How many hydrogen and oxygen atoms are there in $3\ H_2O$? b) How many carbon and oxygen atoms are there in $5\ CO_2$?

Count carefully:

  1. a) How many hydrogen and oxygen atoms are there in $3\ H_2O$?
  2. b) How many carbon and oxygen atoms are there in $5\ CO_2$?
Solve
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The formula of ammonia is $NH_3$. a) How many atoms are there in an ammonia molecule? b) How many atoms of each element are there in $2\ NH_3$?

The formula of ammonia is $NH_3$.

  1. a) How many atoms are there in an ammonia molecule?
  2. b) How many atoms of each element are there in $2\ NH_3$?
Solve

Joined atoms and loose atoms

Writing $O_2$ is not the same as writing $2\ O$, even though both have two oxygen atoms. The difference is whether they are joined to form a molecule or are loose.

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Look at the figure: Explain the difference between writing $O_2$ and writing $2\ O$: how many oxygen atoms are there in each case and how are they arranged (bonded…

Look at the figure:

O O O₂ O O 2 O

Explain the difference between writing $O_2$ and writing $2\ O$: how many oxygen atoms are there in each case and how are they arranged (bonded together or separate)?

Solve

Balanced chemical equations

A chemical equation is a sentence made of formulas: the reactants on the left, the products on the right, and an arrow that means "turn into." To respect the Law of Conservation of Matter (Lavoisier), it must be balanced: the same number of atoms of each element on both sides.

Move the coefficients until all the elements are balanced. Subscripts are never changed, only coefficients.

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In the formation of water, two hydrogen molecules ($2\ H_2$) react with one oxygen molecule ($O_2$) to form two water molecules ($2\ H_2O$), as shown in the particle…

In the formation of water, two hydrogen molecules ($2\ H_2$) react with one oxygen molecule ($O_2$) to form two water molecules ($2\ H_2O$), as shown in the particle diagram.

2 H₂ + O₂ 2 H₂O

Count the hydrogen and oxygen atoms before and after the reaction. Has any atom disappeared?

Solve
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The combustion of methane is written as follows: $CH_4 + 2\ O_2 \rightarrow CO_2 + 2\ H_2O$. The diagram represents the molecules before and after. Count the atoms of…

The combustion of methane is written as follows: $CH_4 + 2\ O_2 \rightarrow CO_2 + 2\ H_2O$. The diagram represents the molecules before and after.

CH₄ + 2 O₂ CO₂ + 2 H₂O

Count the atoms of each element before and after the reaction and verify that they are conserved.

Solve
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A student writes the combustion of methane in their notebook as follows: $CH_4 + O_2 \rightarrow CO_2 + H_2O$. a) Count the atoms of each element on both sides of the…

A student writes the combustion of methane in their notebook as follows: $CH_4 + O_2 \rightarrow CO_2 + H_2O$.

  1. a) Count the atoms of each element on both sides of the arrow.
  2. b) Does their diagram respect the law of conservation of mass?
  3. c) Correct the equation so that the atoms balance and explain what you changed.
Solve

Explaining the laws with atoms

Now we can answer the opening question. The atoms are the same before and after a reaction, and each type of atom always has the same mass. That's why the total mass doesn't change.

This explains cases that seem strange:

  • Magnesium when it burns: the magnesium ribbon joins with oxygen atoms from the air, so the oxide weighs more. If you also weighed the oxygen that took part, the total mass would be the same before and after.

  • Rust on a gate: in $4\ Fe + 3\ O_2 \rightarrow 2\ Fe_2O_3$ the oxygen atoms from the air are added to the iron, which is why the rusted gate weighs more.

  • Ash from a bonfire: it weighs less because part of the matter left as gases ($CO_2$, water vapor).

Volume of gases and number of molecules

In the electrolysis of water, $2\ H_2O \rightarrow 2\ H_2 + O_2$, twice as much volume of hydrogen as of oxygen is collected. Why? Because equal volumes of gases, at the same temperature and pressure, contain the same number of molecules. So volume is proportional to the number of molecules: for every molecule of $O_2$, 2 of $H_2$ are formed, which is why the volume of hydrogen is double.

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Explain, using the atomic-molecular model, why mass is conserved in a chemical reaction (Lavoisier's law): what happens to the atoms during the reaction and what happens…

Explain, using the atomic-molecular model, why mass is conserved in a chemical reaction (Lavoisier's law): what happens to the atoms during the reaction and what happens to their mass?

Solve
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Water is $H_2O$ and hydrogen peroxide is $H_2O_2$. The figure shows the model of both molecules. a) Do they contain the same elements? b) Are they the same substance? c)…

Water is $H_2O$ and hydrogen peroxide is $H_2O_2$. The figure shows the model of both molecules.

O H H H₂O water H O O H H₂O₂ hydrogen peroxide
  1. a) Do they contain the same elements?
  2. b) Are they the same substance?
  3. c) Relate your answer to the law of definite proportions.
Solve
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The formation of water is represented as follows: $2\ H_2 + O_2 \rightarrow 2\ H_2O$. a) How many molecules are there before and after the reaction? b) How many atoms of…

The formation of water is represented as follows: $2\ H_2 + O_2 \rightarrow 2\ H_2O$.

  1. a) How many molecules are there before and after the reaction?
  2. b) How many atoms of each type are there before and after?
  3. c) Use the atomic-molecular model to justify the law of conservation of mass.
Solve
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When a magnesium ribbon is burned in air, the oxide formed weighs more than the original ribbon. a) Explain this gain in mass using the atomic-molecular model. b)…

When a magnesium ribbon is burned in air, the oxide formed weighs more than the original ribbon.

  1. a) Explain this gain in mass using the atomic-molecular model.
  2. b) Predict what would happen to the total mass if we could also weigh all the air that took part in the reaction.
Solve
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When an electric current is passed through water, it decomposes: $2\ H_2O \rightarrow 2\ H_2 + O_2$. The figure shows the experimental apparatus. a) Count the atoms of…

When an electric current is passed through water, it decomposes: $2\ H_2O \rightarrow 2\ H_2 + O_2$. The figure shows the experimental apparatus.

H₂ O₂
  1. a) Count the atoms of each element before and after.
  2. b) In the experiment, twice the volume of hydrogen is collected compared to oxygen: relate this to the number of molecules of each gas formed.
  3. c) Is mass conserved in this decomposition? Justify your answer.
Solve
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The formation of iron oxide can be written as: $4\ Fe + 3\ O_2 \rightarrow 2\ Fe_2O_3$. The diagram represents the atoms before and after. a) Count the iron and oxygen…

The formation of iron oxide can be written as: $4\ Fe + 3\ O_2 \rightarrow 2\ Fe_2O_3$. The diagram represents the atoms before and after.

4 Fe + 3 O₂ 2 Fe₂O₃
  1. a) Count the iron and oxygen atoms before and after.
  2. b) An old, heavily rusted iron gate weighs more than when it was new: explain this using the atomic-molecular model.
  3. c) Where have the atoms that increase its mass come from?
Solve
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In a closed container there are $10$ molecules of $H_2$ and $10$ molecules of $O_2$, and the reaction $2\ H_2 + O_2 \rightarrow 2\ H_2O$ takes place. The figure shows…

In a closed container there are $10$ molecules of $H_2$ and $10$ molecules of $O_2$, and the reaction $2\ H_2 + O_2 \rightarrow 2\ H_2O$ takes place. The figure shows the container before the reaction.

10 H₂ + 10 O₂ ?
  1. a) How many water molecules are formed?
  2. b) Are there any molecules of gas left over? How many and of which gas?
  3. c) Relate the result to the law of definite proportions.
Solve
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The atomic-molecular model makes it possible to explain the two laws of chemical reactions you have studied. a) Explain the law of conservation of mass using the model:…

The atomic-molecular model makes it possible to explain the two laws of chemical reactions you have studied.

  1. a) Explain the law of conservation of mass using the model: why does mass not change if atoms do not disappear and each type of atom always has the same mass?
  2. b) Explain the law of definite proportions using the model: why does a compound always have the same proportion by mass if its formula is always the same?
Solve

Back to the beginning: when LP gas burns, the carbon and hydrogen atoms in the gas regroup with oxygen from the air and form $CO_2$ and water vapor. No atom was lost, so the total mass is conserved even though the tank empties.

Summary

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