Protons, Neutrons & Electrons
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Lesson overview
The three sub-atomic particles, atomic and mass numbers, counting particles in atoms and ions, electron shells, and how the model of the atom developed.
Go to lesson quiz →Exam guidance · JAMB UTME Speed Lens
Pacing
~40 seconds per MCQ (180 questions in 120 minutes, no negative marking).
How JAMB marks this
Fast dimensional/sign elimination and standard formula shortcuts — skip multi-line algebra when substitution tests options faster.
Watch out for
UTME distractors routinely include the intermediate value (e.g., forgetting to convert cm³ to dm³ or °C to Kelvin).
Lesson content
Overview
Everything in chemistry, from why sodium reacts with water to why salt dissolves, comes down to the particles inside atoms. An atom is about a ten-millionth of a millimetre across, yet scientists have worked out what is inside it, how many of each particle it holds and how its electrons are arranged. In this lesson you will meet the proton, neutron and electron, use atomic number and mass number to count them in atoms and ions, arrange electrons in shells for the first twenty elements, and see how experiments changed the model of the atom from Dalton to Bohr. UTME questions on these counts are quick marks if you are systematic.
Key concept: sub-atomic particles
A proton has a relative mass of 1 and a charge of +1; it is found in the nucleus. A neutron has a relative mass of 1 and no charge; it is also in the nucleus. An electron has a relative mass of about 1/1840 and a charge of −1; it moves around the nucleus in energy levels (shells). The atomic number (Z) is the number of protons in the nucleus of an atom. It identifies the element: every atom with 6 protons is carbon. The mass number (A) is the total number of protons and neutrons (nucleons) in the nucleus. A nuclide is written ᴬ_Z X, for example ²³₁₁Na. In a neutral atom, the number of electrons equals the number of protons. An ion is an atom (or group of atoms) that has gained or lost electrons: a positive ion has fewer electrons than protons, a negative ion more.
Counting particles and arranging electrons
To count particles: protons = Z; neutrons = A − Z; electrons = Z in a neutral atom. For an ion, electrons = Z − charge. A 2+ ion has lost two electrons, so it has Z − 2 electrons; a 2− ion has gained two, so it has Z + 2. Rutherford's gold-foil experiment showed the structure. Most alpha particles passed straight through the foil, so the atom is mainly empty space. A few were deflected through large angles, so the positive charge and almost all the mass are concentrated in a tiny nucleus. In Bohr's model the electrons occupy shells at increasing distances from the nucleus. The first shell (K) holds up to 2 electrons, the second (L) up to 8, and for the first twenty elements the third (M) is filled to 8 before electrons enter the fourth (N). Calcium (Z = 20) is therefore 2,8,8,2. The electrons in the outermost shell, the valence electrons, decide how an element reacts. Atoms with the same number of valence electrons behave similarly, which is the basis of the groups of the periodic table. Atoms or ions with the same electron arrangement are said to be isoelectronic; Na⁺, Mg²⁺, F⁻ and O²⁻ all have the arrangement of neon, 2,8.
Relationships to know
Protons = atomic number Z Neutrons = mass number A − atomic number Z Electrons (neutral atom) = Z; electrons (ion of charge q) = Z − q (q is negative for anions) Maximum electrons in shell n = 2n² (2, 8, 18, …); for Z ≤ 20, fill as 2, 8, 8, 2 Number of valence electrons = group number for main-group elements
Worked example 1: particles in an atom
State the numbers of protons, neutrons and electrons in ²³₁₁Na, and give its electron arrangement.
Active Worked Example · Predict Step 1
4 stepsWrite down the formula, rule, or first move you would make before revealing Step 1.
Worked example 2: particles in ions
Compare the particles in ³²₁₆S, the sulphide ion ³²₁₆S²⁻, and the calcium ion ⁴⁰₂₀Ca²⁺. Use the bar chart to check your answers.
Active Worked Example · Predict Step 1
3 stepsWrite down the formula, rule, or first move you would make before revealing Step 1.
Worked example 3 (UTME standard): identifying an element from an ion
An ion X²⁺ contains 18 electrons and 20 neutrons. Find the atomic number and mass number of X, name it, and give the electron arrangement of the atom.
Active Worked Example · Predict Step 1
4 stepsWrite down the formula, rule, or first move you would make before revealing Step 1.
Common traps
• The atomic number, not the mass number, identifies the element. • For positive ions subtract the charge from Z; for negative ions add it. • Forming an ion never changes the number of protons or neutrons. • The mass number is a whole number count of nucleons; it is not the relative atomic mass (e.g. 35.5 for chlorine). • For Z up to 20, the third shell takes 8 electrons before the fourth shell starts.
Summary
• Protons (+1, mass 1) and neutrons (0, mass 1) form the nucleus; electrons (−1, mass ≈ 1/1840) occupy shells. • Z = protons; A = protons + neutrons; neutrons = A − Z. • Electrons = Z in atoms and Z − charge in ions. • Shells fill 2, 8, 8, 2 for the first twenty elements; valence electrons determine chemical behaviour. • Models of the atom: Dalton, Thomson, Rutherford (nucleus), Bohr (shells), Chadwick (neutron).
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