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Secondary 3 · Physical Sciences
Matter · The structure of matter

Subatomic Particles and Isotopes

If the atom were Estadio Quisqueya, the nucleus would be a marble placed at the center of the infield. Inside that "marble" and in the stands around it live only three kinds of particles, and with just three you can explain almost all the matter you will study this year.

The Three Particles of the Atom

Rub a plastic ruler against your dry hair and bring it close to little scraps of paper: the scraps jump toward it. Matter contains electric charges that can pass from one body to another. But which charged particles make up each atom?

Diagram of the atom: a central nucleus with protons (+) and neutrons, surrounded by circular shells in which the electrons (−) move + n n + nucleus: protons (+) and neutrons electron (−), in the shells

A normal atom is neutral: it has the same number of protons as electrons, and the positive and negative charges cancel out.

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In the board game "Build an Atom", there are three types of counters: protons, neutrons, and electrons. State the electrical charge of each of the three particles:…

In the board game "Build an Atom", there are three types of counters: protons, neutrons, and electrons. State the electrical charge of each of the three particles: positive, negative, or no charge.

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If the atom were a soccer stadium, the nucleus would be a marble in the center of the field. Which particles would be inside that "marble"? And which particles would be…

If the atom were a soccer stadium, the nucleus would be a marble in the center of the field. Which particles would be inside that "marble"? And which particles would be moving around the stands, surrounding the nucleus?

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Complete the sentence with the missing words: "The proton has a $\dots$ charge, the electron has a $\dots$ charge, and the neutron has no $\dots$."

Complete the sentence with the missing words: "The proton has a $\dots$ charge, the electron has a $\dots$ charge, and the neutron has no $\dots$."

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The Atomic Number Z: The ID Card

Iron is a hard metal, helium is a gas that makes balloons float, and sulfur is a yellow powder. Yet all three are made of protons, neutrons, and electrons. What makes an atom iron and not helium or sulfur?

Move the protons slider: when you change $Z$, the element you are talking about changes.

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The atomic number $Z$ is like the identity card of an element. Explain what the number $Z$ counts and state its value for an atom with $6$ protons.

The atomic number $Z$ is like the identity card of an element. Explain what the number $Z$ counts and state its value for an atom with $6$ protons.

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When you breathe, oxygen atoms reach your lungs, which have $8$ protons. If an oxygen atom is neutral, how many electrons does it have? Explain why.

When you breathe, oxygen atoms reach your lungs, which have $8$ protons. If an oxygen atom is neutral, how many electrons does it have? Explain why.

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A neutral calcium atom, the mineral found in bones, has $20$ electrons and a mass number $A = 40$. Calculate its atomic number $Z$ and the number of neutrons in its…

A neutral calcium atom, the mineral found in bones, has $20$ electrons and a mass number $A = 40$. Calculate its atomic number $Z$ and the number of neutrons in its nucleus.

Solve

The Mass Number A: Counting Protons and Neutrons

A proton and a neutron weigh almost the same, about $2000$ times more than an electron. That is why almost all of the atom's mass is in the nucleus.

Nucleus with 2 protons and 1 neutron: Z = 2, N = 1, and mass number A = Z + N = 3 p p n Z = 2 protons N = 1 neutron A = Z + N = 3 nucleus with 2 protons and 1 neutron

To find the neutrons, solve for it: $N = A - Z$.

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The mass number $A$ counts the "heavy" particles of the atom. A carbon atom has $6$ protons and $6$ neutrons, as shown in the figure. What is its mass number $A$? Which…

The mass number $A$ counts the "heavy" particles of the atom. A carbon atom has $6$ protons and $6$ neutrons, as shown in the figure.

6 protons 6 neutrons p n p n n p n p n p n p A = ?

What is its mass number $A$? Which particles of the atom are not included in this count?

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Table salt contains sodium atoms, with $11$ protons and $12$ neutrons in their nucleus, as shown in the figure. Calculate the mass number $A$ of sodium.

Table salt contains sodium atoms, with $11$ protons and $12$ neutrons in their nucleus, as shown in the figure.

11 protons 12 neutrons nucleus A = ?

Calculate the mass number $A$ of sodium.

Solve
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Sparklers glow with an intense white light because they burn magnesium. A neutral magnesium atom has $Z = 12$ and $A = 24$. Calculate how many protons, neutrons, and…

Sparklers glow with an intense white light because they burn magnesium. A neutral magnesium atom has $Z = 12$ and $A = 24$. Calculate how many protons, neutrons, and electrons it has.

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The chlorine used to disinfect swimming pools has $Z = 17$ and $A = 35$. Calculate how many neutrons its nucleus has and how many electrons a neutral chlorine atom has.

The chlorine used to disinfect swimming pools has $Z = 17$ and $A = 35$. Calculate how many neutrons its nucleus has and how many electrons a neutral chlorine atom has.

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The smell of rotten eggs is due to a gas containing sulphur. A neutral sulphur atom has $16$ electrons and $16$ neutrons. Calculate its atomic number $Z$ and its mass…

The smell of rotten eggs is due to a gas containing sulphur. A neutral sulphur atom has $16$ electrons and $16$ neutrons. Calculate its atomic number $Z$ and its mass number $A$.

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Solving Problems with Z, A, and N

Almost all the problems in this section are the same calculation seen from different angles. For a neutral atom:

Quantity How to get it
Protons $Z$
Electrons $Z$ (same as the protons)
Neutrons $N = A - Z$
Mass number $A = Z + N$

You can also write the atom with its symbol: $A$ on top and $Z$ on the bottom, to the left, as in ${}^{7}_{3}\text{Li}$.

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Aluminum foil used in the kitchen consists of atoms with $Z = 13$ and $A = 27$. Calculate the number of protons, neutrons, and electrons of a neutral aluminum atom.

Aluminum foil used in the kitchen consists of atoms with $Z = 13$ and $A = 27$. Calculate the number of protons, neutrons, and electrons of a neutral aluminum atom.

Solve
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The iron in lentils helps transport oxygen in the blood. A neutral iron atom has $Z = 26$ and $A = 56$. How many neutrons does it have in its nucleus? And how many…

The iron in lentils helps transport oxygen in the blood. A neutral iron atom has $Z = 26$ and $A = 56$. How many neutrons does it have in its nucleus? And how many electrons around it?

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Cell phone batteries use lithium. Its chemical symbol with its atomic numbers is written like this: ${}^{7}{3}\text{Li}$. The top number is $A$ and the bottom number is…

Cell phone batteries use lithium. Its chemical symbol with its atomic numbers is written like this: ${}^{7}_{3}\text{Li}$. The top number is $A$ and the bottom number is $Z$.

  1. a) How many protons, neutrons and electrons does a neutral lithium atom have?
  2. b) Beryllium has $4$ protons and $5$ neutrons: write its symbol using the same format.
Solve
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A neutral atom has a mass number $A = 31$ and $16$ neutrons in its nucleus. a) Calculate its atomic number $Z$ and its number of electrons. b) Using this list, find out…

A neutral atom has a mass number $A = 31$ and $16$ neutrons in its nucleus.

  1. a) Calculate its atomic number $Z$ and its number of electrons.
  2. b) Using this list, find out which element it is: oxygen ($Z = 8$), sodium ($Z = 11$), silicon ($Z = 14$), phosphorus ($Z = 15$) or chlorine ($Z = 17$).
  3. c) Match heads contain this element. Explain why it is the number $Z$, and not the number of neutrons, that determines which element an atom is.
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Ions: Atoms with a Charge

A neutral atom can gain or lose electrons. When that happens, the charges no longer cancel out and an ion forms.

Lower the number of electrons below the number of protons: a net positive charge appears. That is what happens to potassium when it loses an electron.

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Potassium is a mineral abundant in bananas. A neutral potassium atom, with $Z = 19$, loses one of its electrons, as shown in the figure. a) How many protons and how many…

Potassium is a mineral abundant in bananas. A neutral potassium atom, with $Z = 19$, loses one of its electrons, as shown in the figure.

19 p 19 e− loses 1 e− 19 p e− = ? net charge = ?
  1. a) How many protons and how many electrons does the atom have left?
  2. b) Is it still potassium? Justify your answer by considering what defines an element.
  3. c) What net charge does the atom have now? Explain the result by comparing its positive and negative charges.
Solve
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A puzzle in a magazine sets this challenge: build, using loose pieces of protons, neutrons and electrons, a neutral beryllium atom, which has $Z = 4$ and $A = 9$, as…

A puzzle in a magazine sets this challenge: build, using loose pieces of protons, neutrons and electrons, a neutral beryllium atom, which has $Z = 4$ and $A = 9$, as shown in the figure.

loose pieces p n e− beryllium: Z = 4 · A = 9 p = ? n = ? e = ?
  1. a) How many pieces of each type do you need?
  2. b) If by mistake you add an extra electron, would the atom still be neutral? What net charge would it have? Justify your answer.
  3. c) And if you removed a neutron, would the element change? Would anything about the atom change? Explain your answers.
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Isotopes: Same Element, Different Mass

In 1912, when neon atoms were deflected with electric fields, it was discovered that some atoms had mass 20 and others mass 22, even though they behaved the same chemically. How can atoms of the same element have different masses?

Comparison of two carbon isotopes. Carbon-12 has 6 protons, 6 neutrons, and 6 electrons. Carbon-14 has 6 protons, 8 neutrons, and 6 electrons. carbon-12 carbon-14 same Z different N 6 protons (Z = 6) 6 neutrons (N = 6) 6 electrons A = 6 + 6 = 12 6 protons (Z = 6) 8 neutrons (N = 8) 6 electrons A = 6 + 8 = 14 proton neutron electron enlarged nucleus, not to scale

Since $Z$ is the same, isotopes are the same element and behave almost the same in reactions. What changes is the mass and sometimes the stability: some isotopes are stable and others are radioactive.

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Carbon-12 and carbon-14 are like two siblings: they belong to the same element, but they do not "weigh" the same. Explain what the two atoms have in common and how they…

Carbon-12 and carbon-14 are like two siblings: they belong to the same element, but they do not "weigh" the same. Explain what the two atoms have in common and how they differ. What is the relationship between them called?

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Hydrogen has three known isotopes: protium ($A = 1$), deuterium ($A = 2$), present in so-called "heavy water", and tritium ($A = 3$). They all have $Z = 1$, as shown in…

Hydrogen has three known isotopes: protium ($A = 1$), deuterium ($A = 2$), present in so-called "heavy water", and tritium ($A = 3$). They all have $Z = 1$, as shown in the figure.

p n = ? protium A = 1 · Z = 1 p n = ? deuterium A = 2 · Z = 1 p n = ? tritium A = 3 · Z = 1

Calculate how many neutrons each isotope has and explain why all three are the same element.

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Carbon-12 has $A = 12$ and carbon-14 has $A = 14$; both have $Z = 6$, as shown in the figure. a) Calculate the number of neutrons each isotope has. b) Explain what the…

Carbon-12 has $A = 12$ and carbon-14 has $A = 14$; both have $Z = 6$, as shown in the figure.

p p p p p p n = ? carbon-12 Z = 6 · A = 12 p p p p p p n = ? carbon-14 Z = 6 · A = 14
  1. a) Calculate the number of neutrons each isotope has.
  2. b) Explain what the two atoms share and what makes them the same element.
Solve
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Scientists study past climate by analysing glacier ice, where oxygen-16 ($Z = 8$, $A = 16$) and oxygen-18 ($Z = 8$, $A = 18$) are found. a) Work out the number of…

Scientists study past climate by analysing glacier ice, where oxygen-16 ($Z = 8$, $A = 16$) and oxygen-18 ($Z = 8$, $A = 18$) are found.

  1. a) Work out the number of protons, neutrons and electrons for each isotope, assuming neutral atoms.
  2. b) Explain why both are the same element even though they have different masses.
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Archaeologists find a mammoth tusk and want to know its age. To calculate it, they use the carbon-14 remaining in the remains. a) Carbon-14 is an isotope of carbon:…

Archaeologists find a mammoth tusk and want to know its age. To calculate it, they use the carbon-14 remaining in the remains.

  1. a) Carbon-14 is an isotope of carbon: explain what this means, referring to protons and neutrons.
  2. b) All living things contain carbon and, when they die, their carbon-14 gradually decreases over the years. Explain why this allows us to estimate how long ago the animal died.
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Three atoms have these particles: atom X has $6$ protons and $6$ neutrons; atom Y has $6$ protons and $8$ neutrons; atom Z has $7$ protons and $7$ neutrons. a) Which of…

Three atoms have these particles: atom X has $6$ protons and $6$ neutrons; atom Y has $6$ protons and $8$ neutrons; atom Z has $7$ protons and $7$ neutrons.

  1. a) Which of them are the same element? Why?
  2. b) Which pair represents a case of isotopes?
  3. c) Calculate the mass number $A$ of each of the three atoms.
Solve

Where Is the Atom's Mass?

If the atom were the stadium, the electrons would be like mosquitoes in the stands and the nucleus the marble at the center. So where is almost all the mass?

A proton and a neutron have almost the same mass, and each weighs about $2000$ times more than an electron. That is why the atom's mass is concentrated in the nucleus, and why $A$ (protons plus neutrons) is useful for comparing the masses of atoms.

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A proton has almost the same mass as a neutron, and each of them has a mass about $2000$ times greater than that of an electron. a) A carbon-12 atom has $6$ protons, $6$…

A proton has almost the same mass as a neutron, and each of them has a mass about $2000$ times greater than that of an electron.

  1. a) A carbon-12 atom has $6$ protons, $6$ neutrons and $6$ electrons: explain why virtually all its mass is concentrated in the nucleus.
  2. b) Estimate how many times heavier the nucleus of that atom is than all its electrons combined.
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Summary

See all the exercises in this section