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Change · The laws of chemical reactions

The atomic-molecular model

Imagine Seán lights a turf fire on a cold night in Galway. The turf crumbles to a small pile of ash, yet the smoke and heat have gone up the chimney. Where did it all go? Lavoisier's and Proust's laws describe what happens in a reaction, but they do not explain why it happens. The answer came with one idea: all matter is made of atoms, and in a reaction those atoms do not disappear, they are simply rearranged.

Atoms that regroup

When an electric current is passed through liquid water, two different gases are obtained (hydrogen and oxygen), but the combined mass of the two gases is exactly equal to that of the water used up. How is it possible for one substance to turn into completely different ones without a single gram too many or too few?

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

Animation of the electrolysis of water: the atoms of the H₂O molecule separate, the two H atoms travel together to form H₂ and the O moves down to join an O from a second water molecule (shown pale; its two H atoms would form another H₂, not drawn) to form O₂. They keep their colour 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
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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.

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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
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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?

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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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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

Reading a chemical formula

A formula such as $H_2O$ is not just a name: it is an exact recipe showing 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
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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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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.
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Joined atoms and loose atoms

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

O₂ is a molecule with two joined atoms; 2 O are two separate atoms. The same with 3 Cl₂ (three molecules) and 6 Cl (six separate atoms). O₂: 1 molecule 2 O: 2 separate atoms 3 Cl₂: 3 molecules 6 Cl: 6 separate atoms the same number of atoms, but not the same substance
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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
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We want to build a model of the water molecule using plasticine balls: we use red balls for the oxygen atoms and white balls for the hydrogen atoms. a) How many balls of…

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

  1. a) How many balls of each colour 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

Balanced chemical equations

A chemical equation is a sentence written with formulae: the reactants on the left, the products on the right, and an arrow meaning "turn into". Always start with a word equation, for example hydrogen + oxygen → water, and then replace each name with its formula. To obey Lavoisier's law, the equation has to be balanced: the same number of atoms of each element on both sides.

State symbols show the physical state of each substance: (s) solid, (l) liquid, (g) gas and (aq) dissolved in water (aqueous). For example, $2\ H_2(g) + O_2(g) \rightarrow 2\ H_2O(l)$ tells us that hydrogen and oxygen are gases and the water formed is a liquid.

Move the coefficients until the table below says "balanced" for every element. Notice: the subscripts of a formula are never changed, only the coefficients in front.

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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 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
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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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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 colour 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 colour 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
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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
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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

Counting atoms with coefficients

When an equation has coefficients and subscripts at the same time, you have to multiply them to count the atoms correctly.

Two identical CO₂ molecules, each with a central carbon atom and two oxygen atoms at the sides: 2 C atoms and 4 O atoms in total 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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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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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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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 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

Back to the start: Mass is conserved (Lavoisier) because the reacting atoms just change partners without being destroyed, and a compound has a fixed composition because each molecule always has the same number of each type of atom.

Summary

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