Atoms, elements, compounds and isotopes
By the end of this chapter you will be able to
- Name the three particles in an atom and give their charges and positions
- Use atomic number and mass number to find protons, neutrons and electrons
- Write chemical symbols and formulae, and count the atoms in a formula
- Describe how the atomic model changed, and what evidence changed it
- Explain what isotopes are, and [H] calculate a relative atomic mass
- Convert nanometres into metres, using standard form
You should already know
- Elements and compounds at KS3 (what a substance is)
- Standard form and powers of ten (KS3 Maths)
Where this leads
- Electron arrangement and the periodic table (Chapter 2)
- Relative formula mass and balancing equations (Chapter 7)
- Ionic and covalent bonding (Chapters 4 and 5)
GCSE Chemistry. Content follows the GCSE (9-1) subject content for England (Edexcel and AQA). Content references: Describe the atom: protons, neutrons and electrons, their relative charge and mass, Use atomic number and mass number to work out the numbers of particles in an atom, Distinguish elements, compounds and mixtures, and use chemical symbols and formulae, Describe how the model of the atom developed (Dalton, plum pudding, nuclear model), Explain isotopes and their use, [H] Calculate relative atomic mass from isotope abundance, Know the size of atoms and the nanoscale, and use standard form for very small lengths.
Exercise P Do you remember?
Method. Add the two numbers.
- Add. Add the ones: 2 + 9 = 11, write 1 and carry 1. Add the tens: 1 + 1 = 2.12 + 9 = 21
- Write the answer. 21
Check. 21 - 9 = 12. ✓
Method. Write the decimal as tenths, then simplify.
- Write as tenths. 0.5 is five tenths.5/10
- Simplify. Divide the top and bottom by 5.5/10 = 1/2
- Write the answer. 1/2
Check. 1/2 = 0.5. ✓
Method. Share 100 into 4 equal parts.
- Divide. Each part is 100 / 4.100 / 4 = 25
- Write the answer. 25
Check. 25 x 4 = 100. ✓
Method. Powers of ten move the digits to the left.
- Work out the power. 10 squared is 100.102 = 100
- Multiply. Multiply 3 by 100.3 x 100 = 300
- Write the answer. 300
Check. 300 divided by 100 is 3. ✓
Method. A larger negative power means a smaller number.
- Compare. The power -6 is more negative, so the number is smaller.-6 is smaller than -3
- Decide. So 1 x 10^-6 is smaller.1 x 10^-6
- Write the answer. 1 x 10^-6
Check. 1 x 10^-6 = 0.000001 and 1 x 10^-3 = 0.001. ✓
Atoms and subatomic particles
An atom has a small, dense nucleus at its centre. The nucleus is made of protons and neutrons. Electrons move in shells around the outside of the nucleus. Most of the atom is empty space.
| Particle | Relative mass | Relative charge | Where it is |
|---|---|---|---|
| proton | 1 | +1 | in the nucleus |
| neutron | 1 | 0 (no charge) | in the nucleus |
| electron | very small (about 1/1840) | -1 | outside the nucleus, in shells |
Key ideas
- The atomic number is the number of protons. Every atom of an element has the same atomic number.
- The mass number is the number of protons plus neutrons.
- In a neutral atom, the number of electrons equals the number of protons.
- Number of neutrons = mass number - atomic number.
Method. Use the rule: neutrons = mass number - atomic number.
- Take the numbers. The mass number is 23 and the atomic number is 11.mass 23, atomic 11
- Subtract. Neutrons = 23 - 11.23 - 11 = 12
- Write the answer. 12
Check. 11 protons + 12 neutrons = 23, the mass number. ✓
Method. A neutral atom has as many electrons as protons.
- Count the protons. The number of protons is 8.8 protons
- Use the neutral rule. A neutral atom has equal numbers of protons and electrons.8 = 8
- Write the answer. So there are 8 electrons.8 electrons
- Write the answer. 8
Check. 8 electrons cancel the 8 protons, so the atom has no overall charge. ✓
Method. Read the atomic number and mass number, then work out the rest.
- Protons. The atomic number is the number of protons, so there are 3.protons = 3
- Neutrons. Neutrons = mass number - atomic number = 7 - 3.7 - 3 = 4
- Electrons. A neutral atom has as many electrons as protons, so 3.electrons = 3
- Write the answer. 3, 4, 3
Check. Protons 3 + neutrons 4 = 7, the mass number. ✓
Watch out
Watch out: the atomic number is the smaller number on the periodic table, and it gives the protons. Do not use it as the mass. Subtract it from the mass number to find the neutrons.
Exam tip
Exam tip. When you are asked for “the number of neutrons”, write the number, not the calculation. Show the subtraction on the way if you have room.
Exercise 1A Protons, neutrons, electrons and mass numbers
Method. Recall the charge of each particle.
- Recall. Protons have a relative charge of +1. Neutrons have no charge. Electrons have -1.proton = +1
- Write the answer. proton
Check. The neutron has a relative charge of 0. ✓
Method. Recall the particle with no charge.
- Recall. Neutrons have a relative charge of 0.charge of 0
- Write the answer. neutron
Check. Neutrons sit in the nucleus with the protons. ✓
Method. Recall where each particle is.
- Recall. Electrons move in shells around the nucleus.move in shells
- Write the answer. electrons
Check. Protons and neutrons are in the nucleus. ✓
Method. Use the neutral atom rule.
- Compare. A neutral atom has the same number of electrons as protons.6 protons, so 6 electrons
- Write the answer. 6
Check. Protons +6 and electrons -6 give a total of 0. ✓
Method. Subtract the atomic number from the mass number.
- Subtract. Neutrons = 19 - 9.19 - 9 = 10
- Write the answer. 10
Check. 9 protons + 10 neutrons = 19. ✓
Method. The atomic number gives the protons.
- Read. The atomic number is 3.atomic number = 3
- Write the answer. 3
Check. Lithium is element 3. ✓
Method. Subtract the atomic number from the mass number.
- Subtract. Neutrons = 7 - 3.7 - 3 = 4
- Write the answer. 4
Check. 3 + 4 = 7. ✓
Method. Use the two numbers given.
- Protons. The atomic number 8 gives the protons.protons = 8
- Neutrons. Neutrons = 16 - 8 = 8.16 - 8 = 8
- Write the answer. 8, 8
Check. 8 protons + 8 neutrons = 16. ✓
Method. The mass number is protons plus neutrons.
- Add. Mass number = protons + neutrons = 15 + 16.15 + 16 = 31
- Write the answer. 31
Check. 31 - 16 = 15 protons. ✓
Method. Find the protons first; the atomic number is the number of protons.
- Subtract. Protons = mass number - neutrons = 40 - 20.40 - 20 = 20
- Name. The atomic number is the number of protons, so it is 20.atomic number = 20
- Write the answer. 20
Check. An atom with 20 protons is calcium (Ca). ✓
Method. Think about the charge of the particles in the nucleus.
- Think. The nucleus contains protons and neutrons.protons and neutrons
- Compare. Protons have a charge of +1, so the nucleus is positively charged.+1 each
- Write the answer. Accept any sentence that says the nucleus contains positively charged protons.
Check. Only the neutrons in the nucleus have no charge. ✓
Method. Compare the charges of the particles.
- Protons. Each proton has a charge of +1.+1 each
- Electrons. Each electron has a charge of -1, and a neutral atom has equal numbers of each.-1 each
- Balance. The positive and negative charges cancel.total 0
- Write the answer. Accept any sentence that says the positive protons are balanced by the negative electrons.
Check. The total charge is zero. ✓
Method. Find the neutrons, then the electrons.
- Neutrons. Neutrons = 39 - 19 = 20.39 - 19 = 20
- Electrons. A neutral atom has as many electrons as protons, which is 19.electrons = 19
- Write the answer. 20, 19
Check. 19 protons + 20 neutrons = 39. ✓
Method. Subtract the atomic number from the mass number.
- Subtract. Neutrons = 35 - 17 = 18.35 - 17 = 18
- Write the answer. 18
Check. 17 protons + 18 neutrons = 35. ✓
Method. Think about what makes one element different from another.
- Think. Each element has its own number of protons.its own number
- Link. The atomic number is the number of protons, so it identifies the element.identifies the element
- Write the answer. Accept any sentence that says the number of protons is different for each element.
Check. Atoms of different elements have different atomic numbers. ✓
Elements, compounds and mixtures
An element is a substance made of only one type of atom. Each element has its own symbol, of one or two letters, and the first letter is always a capital. A compound contains two or more elements chemically joined in a fixed ratio. A mixture contains two or more substances that are not chemically joined, so each keeps its own properties.
| Element | Symbol | Element | Symbol |
|---|---|---|---|
| sodium | Na | potassium | K |
| iron | Fe | copper | Cu |
| silver | Ag | gold | Au |
| lead | Pb | tin | Sn |
| chlorine | Cl | magnesium | Mg |
| Formula | Name | Atoms in one unit |
|---|---|---|
| H2O | water | 2 H and 1 O: 3 atoms |
| CO2 | carbon dioxide | 1 C and 2 O: 3 atoms |
| NH3 | ammonia | 1 N and 3 H: 4 atoms |
| CH4 | methane | 1 C and 4 H: 5 atoms |
| H2SO4 | sulfuric acid | 2 H, 1 S and 4 O: 7 atoms |
Key ideas
- A formula tells you which elements are present and how many atoms of each.
- Use the small number after a symbol for the number of atoms of that element; if there is no number, there is one atom.
- The compound has a fixed composition; a mixture can have any proportions.
- Elements and compounds are pure substances; mixtures are not.
Method. Add up the numbers in the formula.
- Count hydrogen. There are 2 hydrogen atoms.H: 2
- Count sulfur and oxygen. There is 1 sulfur atom and 4 oxygen atoms.S: 1, O: 4
- Add. Total = 2 + 1 + 4.2 + 1 + 4 = 7
- Write the answer. 7
Check. Seven atoms: 2 H, 1 S and 4 O. ✓
Method. Carbon dioxide has two different elements chemically joined.
- Look at the formula. CO2 has the symbols C and O.C and O
- Decide. Two different elements in a fixed ratio form a compound.two elements, fixed ratio
- Write the answer. compound
Check. A compound has a fixed formula, so it is not a mixture. ✓
Method. Check whether the parts are chemically joined.
- Look. Air contains several gases that are not chemically joined.not chemically joined
- Decide. A compound must have its elements chemically joined in a fixed ratio.fixed ratio
- Write the answer. no
Check. Air can have different amounts of each gas, so it is a mixture. ✓
Watch out
Watch out: a number in front of a formula (for example 3 in 3H2O) multiplies every atom in it. The number after a symbol applies only to that symbol. Do not mix these up when you count.
Exam tip
Exam tip. Write the symbol with a capital letter and a small letter if there is one: Co is cobalt, but CO is carbon monoxide. Only the first letter is a capital for elements.
Exercise 1B Elements, compounds, mixtures and formulae
Method. Recall the symbol.
- Recall. The symbol for sodium comes from its Latin name, natrium.Na
- Write the answer. Na
Check. Na has a capital N and a small a. ✓
Method. Recall the element with this symbol.
- Recall. Fe is the symbol for iron.Fe = iron
- Write the answer. iron
Check. Iron is a metal used in steel. ✓
Method. Recall the symbol.
- Recall. Copper has the symbol Cu.Cu
- Write the answer. Cu
Check. The C is a capital and the u is small. ✓
Method. Add the atoms in the formula.
- Count. There are 2 hydrogen atoms and 1 oxygen atom.2 + 1 = 3
- Write the answer. 3
Check. Water has two hydrogen atoms for each oxygen atom. ✓
Method. Read the number after H.
- Read. The subscript 3 is after H, so there are 3 hydrogen atoms.H: 3
- Write the answer. 3
Check. The N has no number after it, so there is one nitrogen atom. ✓
Method. Read the number after O.
- Read. The subscript 2 is after O, so there are 2 oxygen atoms.O: 2
- Write the answer. 2
Check. There is one carbon atom. ✓
Method. Sodium and chlorine are two elements chemically joined.
- Look. Sodium chloride is made of sodium and chlorine, joined in a fixed ratio.fixed ratio
- Decide. So it is a compound.compound
- Write the answer. compound
Check. Sodium chloride always has one sodium for one chlorine. ✓
Method. Think about what a mixture is.
- Recall. In a mixture, the substances are not chemically joined.not chemically joined
- Decide. So a mixture is not held together by chemical bonds.no bonds
- Write the answer. no
Check. Salt and sand can be mixed, then separated by physical methods. ✓
Method. One molecule has two atoms, so multiply by 3.
- One molecule. Cl2 has 2 atoms.2 atoms
- Three molecules. Total = 3 x 2.3 x 2 = 6
- Write the answer. 6
Check. 6 / 3 = 2 atoms per molecule. ✓
Method. Add the carbon and hydrogen atoms.
- Carbon. There is 1 carbon atom.C: 1
- Hydrogen. There are 4 hydrogen atoms.H: 4
- Add. Total = 1 + 4.1 + 4 = 5
- Write the answer. 5
Check. Methane has 5 atoms in total. ✓
Method. Write each symbol, then its number of atoms.
- Carbon. One carbon atom is written as C with no number.C
- Hydrogen. Four hydrogen atoms are written as H with the number 4.H4
- Join. Put them together.CH4
- Write the answer. CH4
Check. The formula for methane is CH4. ✓
Method. Think about what makes a compound.
- Think. A compound needs its elements chemically joined in a fixed ratio.fixed ratio
- Compare. Air has several gases in changing amounts, which is a mixture.a mixture
- Write the answer. Accept any sentence that says air is a mixture because its gases are not chemically joined.
Check. Oxygen is an element, and an element is not a compound. ✓
Method. Compare the two definitions.
- Compound. In a compound, the elements are chemically joined in a fixed ratio.fixed ratio
- Mixture. In a mixture, the substances are not chemically joined.not chemically joined
- Write the answer. Accept any sentence that says a compound has elements chemically joined in a fixed ratio, and a mixture is not chemically joined.
Check. A mixture can be separated by physical methods. ✓
The development of the atomic model
Dalton (early 1800s) said atoms were tiny solid spheres that could not be split. Later, experiments showed that atoms contain smaller particles. In the plum pudding model, the electrons were spread through a positive sphere, like fruit in a pudding.
In the gold foil experiment, Rutherford and his team fired positively charged alpha particles at a very thin sheet of gold. Most went straight through. A few were deflected, and very few bounced back. This showed that the atom has a tiny, dense, positive nucleus, and that most of the atom is empty space.
Key ideas
- Dalton: atoms are solid spheres.
- Plum pudding: a positive sphere with electrons spread through it.
- Nuclear model: a tiny, dense, positive nucleus; electrons move around it; most of the atom is empty space.
- Models change when new evidence does not fit the old model.
Method. Think about what the alpha particles passed through.
- Look. The alpha particles passed through the foil with no change of direction.straight through
- Conclude. So most of the atom is empty space.empty space
- Write the answer. most of the atom is empty space
Check. Only a few alpha particles were deflected, so the nucleus is very small. ✓
Method. A large deflection needs a strong positive charge in a small place.
- Look. Alpha particles are positively charged, and they were pushed away by something.pushed away
- Conclude. The nucleus is positive, small and dense.small and dense
- Write the answer. the nucleus is small, dense and positive
Check. Like charges repel, so a positive nucleus pushes back an alpha particle. ✓
Method. Find the particle with no charge.
- Recall. Neutrons were found after the plum pudding model, by James Chadwick.neutron
- Check. A neutron has no charge, so it is in the nucleus without affecting its charge.no charge
- Write the answer. neutron
Check. Protons and neutrons are both found in the nucleus. ✓
Watch out
Watch out: a model is not a photograph. The nuclear model is still a model; electrons are not solid dots on fixed orbits. Use the model to explain evidence, and say when it changed.
Exam tip
Exam tip. When a question asks why a model changed, name the new evidence (for example, the deflected alpha particles) and the change it caused.
Try it (with your teacher). Use a sheet of paper and some small beads. Put the beads in a box and, without looking, roll small marbles at it. Use the paths of the marbles to draw a model of the box contents. Then compare your model with the gold foil results.
Exercise 1C The development of the atomic model
Method. Recall the scientist of the early 1800s.
- Recall. John Dalton proposed the solid sphere model.Dalton
- Write the answer. Dalton
Check. Dalton’s idea was later changed by new evidence. ✓
Method. Recall the plum pudding model.
- Recall. The electrons were spread through a positive sphere, like plums in a pudding.electrons
- Write the answer. electrons
Check. The electrons are negative, so they were spread through a positive sphere. ✓
Method. Recall the scientist who led the experiment.
- Recall. Ernest Rutherford led the gold foil experiment with his team.Rutherford
- Write the answer. Rutherford
Check. Geiger and Marsden worked with him on the experiment. ✓
Method. Recall the particles used.
- Recall. The experiment used positively charged alpha particles.alpha particles
- Write the answer. alpha particles
Check. Alpha particles are positive, so they can be deflected by a positive nucleus. ✓
Method. Recall the model that came from the gold foil results.
- Recall. The nuclear model says the atom has a small, dense, positive nucleus.nuclear model
- Write the answer. nuclear model
Check. The plum pudding model did not have a nucleus. ✓
Method. Recall the particle with no charge.
- Recall. Chadwick discovered the neutron, which has no charge.neutron
- Write the answer. neutron
Check. Neutrons are found in the nucleus. ✓
Method. Think about what can push an alpha particle straight back.
- Think. A reflection needs a very strong repulsion from a small, dense positive centre.small, dense, positive
- Conclude. So it hit a small, dense nucleus head-on.hit a small, dense nucleus
- Write the answer. it hit a small, dense nucleus
Check. Very few alpha particles do this, so the nucleus is very small. ✓
Method. Think about the size of the atom.
- Think. The particles passed through the atoms without hitting a nucleus.without hitting
- Conclude. So most of the atom must be empty space.empty space
- Write the answer. Accept any sentence that says most of the atom is empty space.
Check. The nucleus is very small compared with the atom. ✓
Method. Think about what repels a positive particle.
- Think. Alpha particles are positive.positive
- Link. Like charges repel, so a close approach to a positive nucleus deflects them.like charges repel
- Write the answer. Accept any sentence that says they came close to a small, positive nucleus that repelled them.
Check. Most alpha particles missed the nucleus, so they were not deflected. ✓
Method. Think about the target the alpha particles would hit.
- Think. A larger nucleus is a bigger target.bigger target
- Predict. More alpha particles would hit it and be deflected or bounced back.more deflected
- Write the answer. Accept any sentence that says more alpha particles would be deflected or bounced back.
Check. The results showed few deflections, so the nucleus is small. ✓
Method. Look at how the model changed over time.
- Look. The plum pudding model was replaced after the gold foil results.replaced
- Conclude. Models change when new evidence does not fit them.new evidence
- Write the answer. Accept any sentence that says models are changed when new evidence does not fit them.
Check. Science changes its ideas when evidence shows they are wrong. ✓
Isotopes and relative atomic mass [H]
Isotopes are atoms of the same element with the same number of protons but different numbers of neutrons. Isotopes have the same atomic number but different mass numbers. Isotopes of an element have the same chemical properties, because they have the same number of electrons.
| Isotope | Protons | Neutrons | Electrons (neutral atom) |
|---|---|---|---|
| hydrogen-1 | 1 | 0 | 1 |
| hydrogen-2 (deuterium) | 1 | 1 | 1 |
| hydrogen-3 (tritium) | 1 | 2 | 1 |
| carbon-12 | 6 | 6 | 6 |
| carbon-14 | 6 | 8 | 6 |
Key ideas
- Isotopes have the same number of protons (atomic number) and different numbers of neutrons (mass number).
- Isotopes of an element react in the same way.
- Some isotopes are radioactive and can be used for dating and medical tests.
[H] Higher tier only. The relative atomic mass (Ar) of an element is the weighted mean of the mass numbers of its isotopes. Use the percentage abundance of each isotope: Ar = (mass number x % abundance + mass number x % abundance) / 100. The answer is often not a whole number.
Method. Multiply each mass by its percentage, add the results, then divide by 100.
- Multiply. Multiply each mass number by its percentage.35 x 75 = 2625; 37 x 25 = 925
- Add. Add the two results.2625 + 925 = 3550
- Divide. Divide by 100 for the average.3550 / 100 = 35.5
- Write the answer. 35.5
Check. The answer is between 35 and 37, which it must be. ✓
Method. Use the same method with the two mass numbers.
- Multiply. Multiply each mass by its percentage.20 x 90 = 1800; 22 x 10 = 220
- Add. Add the results.1800 + 220 = 2020
- Divide. Divide by 100.2020 / 100 = 20.2
- Write the answer. 20.2
Check. The answer is closer to 20, because most atoms are neon-20. ✓
Method. Add the protons and neutrons, using carbon’s 6 protons.
- Protons. Carbon has 6 protons.6 protons
- Mass number. Mass number = 6 + 8 = 14.6 + 8 = 14
- Name. Carbon with mass number 14 is carbon-14.carbon-14
- Write the answer. carbon-14
Check. Carbon-12 has 6 neutrons, so carbon-14 is the isotope with 8. ✓
Watch out
Watch out: the mass number of an element on the periodic table is an average, so it is usually not a whole number. It is the relative atomic mass, not the mass number of one isotope.
Exam tip
Exam tip. In an abundance question, check the percentages add to 100 before you start. If they do not, read the question again.
Exercise 1D Isotopes and relative atomic mass
Method. Recall the definition of an isotope.
- Recall. Isotopes have the same number of protons, so the same atomic number.same protons
- Write the answer. protons
Check. Isotopes differ in their numbers of neutrons. ✓
Method. Subtract the atomic number from the mass number.
- Subtract. Neutrons = 14 - 6 = 8.14 - 6 = 8
- Write the answer. 8
Check. 6 protons + 8 neutrons = 14. ✓
Method. Use mass number minus atomic number.
- Subtract. Hydrogen has atomic number 1. Hydrogen-3 has 3 - 1 = 2 neutrons.3 - 1 = 2
- Write the answer. hydrogen-3
Check. Hydrogen-1 has no neutrons. ✓
Method. Think about the electrons, which control chemical behaviour.
- Recall. Isotopes have the same number of electrons.same electrons
- Decide. So they react in the same way.yes
- Write the answer. yes
Check. The number of neutrons does not change the reactions. ✓
Method. Compare two isotopes of carbon.
- Compare. Carbon-12 and carbon-14 both have 6 protons.6 protons each
- Decide. Carbon-12 has 6 neutrons and carbon-14 has 8, so the number of neutrons differs.neutrons differ
- Write the answer. neutrons
Check. The number of neutrons changes the mass number. ✓
Method. Subtract the neutron numbers.
- Neutrons. Chlorine-35 has 35 - 17 = 18 neutrons; chlorine-37 has 37 - 17 = 20.18 and 20
- Subtract. The difference is 20 - 18.20 - 18 = 2
- Write the answer. 2
Check. The difference equals the difference in mass numbers, 37 - 35 = 2. ✓
Method. Use the number of protons to identify the element.
- Element. Six protons means the element is carbon.carbon
- Mass number. Mass number = 6 + 8 = 14.14
- Name. So the isotope is carbon-14.carbon-14
- Write the answer. carbon-14
Check. Carbon-14 is radioactive. ✓
Method. Use the weighted mean method.
- Multiply. 63 x 70 = 4410; 65 x 30 = 1950.4410 and 1950
- Add. Add the results.4410 + 1950 = 6360
- Divide. Divide by 100.6360 / 100 = 63.6
- Write the answer. 63.6
Check. The answer lies between 63 and 65. ✓
Method. Use the weighted mean method.
- Multiply. 10 x 20 = 200; 11 x 80 = 880.200 and 880
- Add. Add the results.200 + 880 = 1080
- Divide. Divide by 100.1080 / 100 = 10.8
- Write the answer. 10.8
Check. More atoms are boron-11, so the answer is nearer 11 than 10. ✓
Method. Equal amounts give the simple average.
- Multiply. 64 x 50 = 3200; 66 x 50 = 3300.3200 and 3300
- Add. Add the results.3200 + 3300 = 6500
- Divide. Divide by 100.6500 / 100 = 65
- Write the answer. 65
Check. The average of 64 and 66 is 65. ✓
Method. Think about how the average is found.
- Think. Chlorine has two isotopes with different masses.two isotopes
- Conclude. The relative atomic mass is an average of these masses, weighted by abundance.weighted average
- Write the answer. Accept any sentence that says it is a weighted mean of isotopes with different mass numbers.
Check. Each atom has a whole-number mass, but the average need not be whole. ✓
Method. Think about what a radioactive isotope does over time.
- Think. Radioactive isotopes decay, and they do so at a steady, known rate.known rate
- Conclude. So the amount left shows how long ago the object formed.how long ago
- Write the answer. Accept any sentence that says a radioactive isotope decays at a known rate, so its amount shows the age.
Check. Carbon-14 decays slowly, so it is useful for dating older objects. ✓
The size of atoms, the nanoscale and standard form
Atoms are about 0.1 nm across, which is about 1 x 10-10 m. A nanometre (nm) is one billionth of a metre. The nanoscale is from about 1 nm to 100 nm. Very small lengths are easier to write in standard form.
| Unit | In metres | Standard form |
|---|---|---|
| 1 nanometre (nm) | 0.000000001 m | 1 x 10-9 m |
| 1 atom (about) | 0.0000000001 m | 1 x 10-10 m |
| 1 micrometre (um) | 0.000001 m | 1 x 10-6 m |
Key ideas
- 1 nm = 1 x 10-9 m.
- Atoms are about 0.1 nm wide.
- Nanoparticles are between about 1 and 100 nm.
- To convert nm to m, multiply by 10-9. To convert m to nm, divide by 10-9, or multiply by 109.
Method. Multiply by 10-9.
- Convert. Multiply 50 by 10-9.50 x 10-9 m
- Standard form. Write 50 as 5 x 10, so the number is 5 x 101 x 10-9.5 x 101 x 10-9
- Combine powers. Add the powers: 1 + (-9) = -8.5 x 10-8
- Write the answer. 5 x 10^-8 m
Check. 5 x 10-8 m = 0.00000005 m, which is 50 nanometres. ✓
Method. Use 1 nm = 1 x 10-9 m.
- Convert. 0.1 nm = 0.1 x 10-9 m.0.1 x 10-9
- Standard form. Write 0.1 as 1 x 10-1, so the power is -1 + (-9) = -10.1 x 10-10
- Write the answer. 1 x 10^-10 m
Check. Check: 0.1 nm = 0.1 x 10-9 m = 10-10 m. ✓
Method. Divide the two widths in the same unit.
- Same unit. Both are in nm: 40 nm and 0.1 nm.40 nm and 0.1 nm
- Divide. The ratio is 40 / 0.1.40 / 0.1 = 400
- Write the answer. 400
Check. 0.1 x 400 = 40. ✓
Watch out
Watch out: 0.1 nm is not 0.1 m. The prefix nano means 10-9, so the number of metres is always much smaller than the number of nanometres.
Exam tip
Exam tip. Write standard form with exactly one digit before the decimal point. For example, 0.0005 m is 5 x 10-4 m, not 0.5 x 10-3 m.
Exercise 1E The size of atoms and nanoscale
Method. Use 1 nm = 10-9 m.
- Invert. One metre is 109 times larger than one nanometre.1 m = 109 nm
- Write the answer. 10^9
Check. 109 nm = 1 m, because 10-9 m = 1 nm. ✓
Method. Use the definition of the nanometre.
- Recall. A nanometre is one billionth of a metre.1 nm = 10-9 m
- Write the answer. 1 x 10^-9 m
Check. 1 billionth = 10-9. ✓
Method. Compare the powers of ten.
- Compare. The power -9 matches the nanometre, so the number is the same.2 x 10-9 m = 2 nm
- Write the answer. 2
Check. 2 x 10-9 is the same as 2 nm. ✓
Method. Multiply 0.25 by 10-9, then write in standard form.
- Convert. 0.25 x 10-9 m.0.25 x 10-9
- Standard form. Write 0.25 as 2.5 x 10-1; the power is -1 - 9 = -10.2.5 x 10-10
- Write the answer. 2.5 x 10^-10 m
Check. 2.5 x 10-10 is 0.00000000025 m. ✓
Method. Use 50 nm = 50 x 10-9 m.
- Convert. 50 x 10-9 m.50 x 10-9
- Standard form. 50 = 5 x 10, so 5 x 101 x 10-9 = 5 x 10-8.5 x 10-8
- Write the answer. 5 x 10^-8 m
Check. 5 x 10-8 m = 0.00000005 m. ✓
Method. Recall the nanoscale range.
- Recall. Nanoparticles are between about 1 and 100 nm across.1 to 100 nm
- Write the answer. 1 to 100 nm
Check. An atom is about 0.1 nm, which is smaller than the nanoscale. ✓
Method. Recall the symbol.
- Recall. The symbol for potassium is K, from its Latin name kalium.K
- Write the answer. K
Check. K is written with a capital letter. ✓
Method. Recall the symbol.
- Recall. Silver has the symbol Ag.Ag
- Write the answer. Ag
Check. Ag comes from the Latin argentum. ✓
Method. Write the symbols with the numbers of atoms.
- Hydrogen. Two hydrogen atoms: H2.H2
- Oxygen. One oxygen atom: O.O
- Write the answer. H2O
Check. Water has 3 atoms in each molecule. ✓
Method. Divide the larger width by the smaller.
- Divide. 40 / 0.1 = 400.40 / 0.1 = 400
- Write the answer. 400
Check. 0.1 x 400 = 40. ✓
Method. Count the decimal places to find the power of ten.
- Count. The number 0.0000000001 has its 1 in the tenth decimal place.10 decimal places
- Write. So it is 1 x 10-10 m.1 x 10-10
- Write the answer. 1 x 10^-10 m
Check. 1 x 10-10 = 0.0000000001. ✓
Method. Compare the unit with the actual size.
- Compare. The correct size is 0.1 nm, which is 10-10 m.0.1 nm
- Conclude. A metre is far bigger than an atom, so 0.1 m is wrong.far bigger
- Write the answer. Accept any sentence that says an atom is about 0.1 nm, which is much smaller than 0.1 m.
Check. Atoms are not visible with a light microscope. ✓
Method. Think about how many zeros a size would need.
- Think. Writing 0.0000000001 m takes many zeros.many zeros
- Conclude. Standard form shows the same size as 1 x 10-10 m, which is easy to read.easy to read
- Write the answer. Accept any sentence that says it avoids writing many zeros.
Check. Standard form also makes it easy to compare sizes. ✓
Chapter summary
| Skill | Method |
|---|---|
| Atom | Nucleus (protons and neutrons) with electrons in shells around it. |
| Atomic number | Number of protons; identifies the element; equals electrons in a neutral atom. |
| Mass number | Protons plus neutrons. Neutrons = mass number - atomic number. |
| Element, compound, mixture | One type of atom; two or more elements chemically joined in a fixed ratio; not chemically joined. |
| Atomic models | Dalton (solid sphere), plum pudding (electrons in a positive sphere), nuclear model (small dense nucleus). |
| Isotopes | Same protons, different neutrons; same chemical properties. |
| [H] Relative atomic mass | Weighted mean: (mass x %) added over 100. |
| Nanoscale | 1 nm = 1 x 10-9 m; atoms are about 0.1 nm across. |
Can you…?
- I can name the three particles and give their charges and positions
- I can use atomic number and mass number to find protons, neutrons and electrons
- I can tell an element, a compound and a mixture apart
- I can count atoms in a formula and write simple formulae
- I can describe the atomic models and the evidence that changed them
- I can explain isotopes and convert nanometres to metres in standard form
- [H] I can calculate a relative atomic mass from isotope percentages
Key terms
- atomic number
- the number of protons in an atom; it identifies the element
- mass number
- the number of protons plus neutrons in an atom
- isotope
- atoms of the same element with the same protons but a different number of neutrons
- compound
- two or more elements chemically joined in a fixed ratio
- mixture
- two or more substances not chemically joined; each keeps its own properties
- alpha particle
- a positively charged particle fired in the gold foil experiment
- nucleus
- the small, dense, positive centre of an atom
- nanometre
- one billionth of a metre (1 x 10-9 m)
- relative atomic mass
- [H] the weighted mean mass of the isotopes of an element
Exercise 1Z Check-up
Method. Recall the particle with no charge.
- Recall. Neutrons have a relative charge of 0.neutron
- Write the answer. neutron
Check. Protons are +1 and electrons are -1. ✓
Method. Subtract the atomic number from the mass number.
- Subtract. Neutrons = 24 - 12 = 12.24 - 12 = 12
- Write the answer. 12
Check. 12 protons + 12 neutrons = 24. ✓
Method. Recall the symbol.
- Recall. Magnesium has the symbol Mg.Mg
- Write the answer. Mg
Check. The capital M and small g. ✓
Method. Add the carbon and oxygen atoms.
- Count. 1 carbon and 2 oxygen.1 + 2 = 3
- Write the answer. 3
Check. Carbon dioxide has three atoms. ✓
Method. Recall the model from the gold foil experiment.
- Recall. The nuclear model has a tiny, dense, positive nucleus.nuclear model
- Write the answer. nuclear model
Check. The plum pudding model had no nucleus. ✓
Method. Multiply by 10-9, then write in standard form.
- Convert. 0.5 x 10-9 m.0.5 x 10-9
- Standard form. 0.5 = 5 x 10-1, so the power is -1 - 9 = -10.5 x 10-10
- Write the answer. 5 x 10^-10 m
Check. 0.5 nm is five times the size of 0.1 nm, the size of an atom. ✓
Method. Use the weighted mean method.
- Multiply. 35 x 75 = 2625; 37 x 25 = 925.2625 and 925
- Add and divide. (2625 + 925) / 100 = 3550 / 100.35.5
- Write the answer. 35.5
Check. The answer is between 35 and 37. ✓
Method. Recall the positive particle in the nucleus.
- Recall. Protons carry +1 and are in the nucleus.proton
- Write the answer. proton
Check. Electrons are -1 and are outside the nucleus. ✓
Method. Think about what controls chemical reactions.
- Think. Chemical reactions depend mainly on the electrons.electrons
- Conclude. Isotopes have the same number of electrons, so they react the same way.same electrons
- Write the answer. Accept any sentence that says they have the same number of electrons.
Check. Neutrons do not change how atoms react. ✓
Method. Write each symbol with its number of atoms.
- Sodium. One sodium atom is written as Na.Na
- Chlorine. One chlorine atom is written as Cl.Cl
- Join. Together they form NaCl.NaCl
- Write the answer. NaCl
Check. The formula has no numbers because there is one atom of each. ✓
Total 26 marks. Allow about 26 minutes.
Exercise 1X Exam-style questions
Method. Recall the particle with no charge.
- Recall. Neutrons are in the nucleus and have no charge.neutron
- Write the answer. neutron
Check. Protons are in the nucleus too, but they are positive. ✓
Method. A neutral atom has as many electrons as protons.
- Compare. The atomic number 9 gives 9 protons, so 9 electrons.9 = 9
- Write the answer. 9
Check. The protons and electrons cancel. ✓
Method. Recall the symbol.
- Recall. Iron has the symbol Fe.Fe
- Write the answer. Fe
Check. Fe is from the Latin ferrum. ✓
Method. Recall the scientist who discovered the neutron.
- Recall. James Chadwick discovered the neutron.Chadwick
- Write the answer. Chadwick
Check. The neutron was found after the nuclear model was proposed. ✓
Method. Think about the atom’s structure.
- Think. The particles passed through without hitting a nucleus.without hitting
- Conclude. So most of the atom is empty space.empty space
- Write the answer. Accept any sentence that says most of the atom is empty space.
Check. Only a few particles hit the tiny nucleus. ✓
Method. Compare the average with the two mass numbers.
- Compare. The relative atomic mass 35.5 is closer to 35 than to 37.35.5 is closer to 35
- Conclude. So chlorine-35 is the more common isotope.chlorine-35
- Write the answer. Accept chlorine-35 with a reason that the answer is closer to 35.
Check. Check: 35 x 75% + 37 x 25% = 35.5. ✓
Method. Use the weighted mean method.
- Multiply. 20 x 90 = 1800; 22 x 10 = 220.1800 and 220
- Add and divide. (1800 + 220) / 100 = 2020 / 100.20.2
- Write the answer. 20.2
Check. Most of the atoms have mass 20, so the answer is close to 20. ✓
Method. Multiply 40 by 10-9, then write in standard form.
- Convert. 40 x 10-9 m.40 x 10-9
- Standard form. 40 = 4 x 10, so 4 x 101 x 10-9 = 4 x 10-8.4 x 10-8
- Write the answer. 4 x 10^-8 m
Check. 4 x 10-8 m = 0.00000004 m. ✓
Method. Give the definition and an example for each.
- Element. An element is one type of atom; for example, oxygen, O2.oxygen
- Compound. A compound has two or more elements chemically joined; for example, water, H2O.water
- Write the answer. Accept any answer that gives an element such as oxygen and a compound such as water.
Check. Oxygen has one kind of atom; water has two kinds. ✓
Method. Think about the evidence that changed the model.
- Evidence. A few alpha particles were deflected or bounced back.deflected or bounced back
- Explain. Only a small, dense positive nucleus could cause this, which the plum pudding model could not explain.small, dense nucleus
- Write the answer. Accept any sentence that says the gold foil results showed a small, dense nucleus that the plum pudding model could not explain.
Check. A spread-out positive charge would not deflect alpha particles strongly. ✓
Method. Count the atoms in one molecule, then multiply.
- One molecule. H2SO4 has 2 + 1 + 4 = 7 atoms.7 atoms
- Two molecules. 2 x 7 = 14 atoms.14 atoms
- Write the answer. 7, 14
Check. 14 / 2 = 7 atoms per molecule. ✓
Method. Convert first, then compare the two lengths in metres.
- Convert. 0.25 nm = 0.25 x 10-9 m = 2.5 x 10-10 m.2.5 x 10-10 m
- Compare. Compare 2.5 x 10-10 with 1 x 10-10: 2.5 is larger.2.5 > 1
- Conclude. So 0.25 nm is the larger length.0.25 nm larger
- Write the answer. Accept 2.5 x 10^-10 m, and say 0.25 nm is larger because 0.25 nm = 2.5 x 10^-10 m, which is larger than 1 x 10^-10 m.
Check. Both lengths have the same power of ten, so compare the numbers in front. ✓