Whiteboard Chemistry with Joe White

Formulae & Equations

At GCSE, writing formulae and balancing equations were standalone exam questions. These will now be assumed skills underpinning every calculation.

2+ 2

The ions you must know

Two rules generate almost every name: metals form positive ions, non-metals form negative ions; and the ending tells you about oxygen; -ide means the element alone (chloride, oxide, nitride), -ate means oxygen is in there too (sulfate, nitrate, carbonate). Where a metal can form more than one ion, the Roman numeral in brackets gives the charge: iron(II) is Fe2+, iron(III) is Fe3+.

To build a formula, start from one fact: a compound has no overall charge, so the positive and negative charges must cancel to zero. Take enough of each ion that the pluses and minuses balance — one Al3+ is +3, one O2− is −2, so you need two Al3+ (+6) and three O2− (−6) to reach zero: Al2O3. Crossing the charges over — the size of one ion's charge becoming the other's subscript — is just the quick way to land on those same numbers. Either way, if a polyatomic ion (NO3, OH, SO42−…) needs a subscript, bracket it first so the whole group multiplies.

1+2+3+1−2−3−
Na+ K+ Li+ Ag+ NH4+ H+ Mg2+ Ca2+ Ba2+ Sr2+ Zn2+ Cu2+ Fe2+ Pb2+ Ni2+ Al3+ Fe3+ Cr3+ Cl Br I F OH NO3 HCO3 O2− S2− SO42− CO32− N3− PO43−
Worked example — the formula of calcium nitrate
  1. Find the ions: calcium is Group 2 → Ca2+; nitrate is in the table → NO3.
  2. Balance the charges to zero: one Ca2+ is +2, so you need two NO3 (2 × −1 = −2) to cancel it. (Crossing the charges over lands on the same 2 — it's the shortcut.)
  3. Bracket the polyatomic ion:

    Ca(NO3)2

💡 How to type formulae here

Plain text is fine: Na2CO3 reads as Na2CO3, brackets work as normal — Fe(OH)3 — and the preview beside the box shows exactly how your answer reads. Capital letters matter: CO is carbon monoxide, Co is cobalt.

Formula drill, level 1 — simple ionic

Twelve formulae, one at a time, shuffled each run. Type the formula, check it, and read the feedback on anything you miss — then retry the missed ones at the end until the deck is clean.

potassium bromide

calcium chloride

sodium oxide

magnesium sulfide

lithium nitride

aluminium chloride

potassium sulfide

barium iodide

sodium fluoride

calcium oxide

strontium fluoride (deduce: Sr is in Group 2)

magnesium phosphide

Formula drill, level 2 — Roman numerals & polyatomic ions

Now the ions that carry their charge in the name — iron(III) means Fe3+, no exceptions — and the polyatomic groups that need brackets the moment they pick up a subscript.

iron(II) chloride

iron(III) sulfate

copper(II) nitrate

silver(I) oxide

ammonium phosphate

potassium carbonate

calcium hydrogencarbonate

chromium(III) oxide

zinc hydroxide

lead(II) iodide

nickel(II) sulfate

tin(IV) oxide

Formula drill, level 3 — elements & molecules

Not everything is ionic. Remember the diatomic seven — H2, N2, O2, F2, Cl2, Br2, I2 — the elements that go around in pairs. Noble gases are single atoms; metals and giant structures are written as the bare symbol (Fe, C, SiO2 as a unit); and a handful of molecular compounds simply have to be known.

💡 Never forget the seven

Have No Fear Of Ice Cold Beer — the first letters give the diatomic seven: Have (H2), No (N2), Fear (F2), Of (O2), Ice (I2), Cold (Cl2), Beer (Br2).

oxygen

nitrogen

iodine

neon

iron

ammonia

carbon dioxide

sulfuric acid

silicon dioxide

caesium oxide (deduce: Cs is in Group 1)

gallium oxide (deduce: Ga is in Group 3)

rubidium sulfide (deduce)

Balancing equations

Balancing is bookkeeping: the same number of every atom on each side, changed only by the big numbers in front — never by editing a formula. Type the balancing numbers (a blank box counts as 1) and check; any correct multiple is accepted, and the feedback shows the simplest form.

🧪 Balance these
Q1
N2 H2 NH3
Q2
C3H8 O2 CO2 H2O
Q3
Na H2O NaOH H2
Q4
Mg(OH)2 HCl MgCl2 H2O
Q5
Fe O2 Fe2O3
💡 Halves are welcome here

At A-Level, ½O2 is not just allowed — it's often preferred (e.g. in enthalpy equations “per mole of fuel”).

Q6

Try balancing this one with just ONE C2H6 — decimals allowed.

C2H6 O2 CO2 H2O

Equations from words

A-Level questions often describe a reaction in a sentence and expect the balanced equation back. The skill is spotting what the products must be — and what can't exist. Pick the correct balanced equation for each description.

🧪 Pick the correct equation
Q1

Lithium reacts with water to form lithium hydroxide and hydrogen. Tick (✓) one box.

Q2

Complete combustion of ethene, C2H4. Tick (✓) one box.

Q3

Sulfuric acid neutralised by potassium hydroxide. Tick (✓) one box.

Q4

Thermal decomposition of copper(II) carbonate. Tick (✓) one box.

Q5

Magnesium burns in nitrogen to form magnesium nitride. Tick (✓) one box.

Stretch: ionic equations

In solution, soluble ionic compounds exist as separate ions — and often only some of them actually react. An ionic equation keeps the ions that change and crosses out the spectator ions that don't. At A-Level you'll also be expected to include state symbols: (s), (l), (g), (aq).

The one thing to get right is what splits and what stays whole. Only dissolved ionic compounds — the (aq) ones — break apart into separate ions. Everything else is written as a full formula: solids (s), liquids (l), gases (g), and covalent molecules like water. Split one of those by mistake and the equation is wrong.

Worked example — HCl + NaOH, spectators crossed out
  1. Write everything as ions:

    H+(aq) + Cl(aq) + Na+(aq) + OH(aq) → Na+(aq) + Cl(aq) + H2O(l)

  2. Cross out what appears unchanged on both sides: Na+ and Cl are spectators.
  3. What's left is the ionic equation:

    H+(aq) + OH(aq) → H2O(l)

Worked example — magnesium displacing copper, spectators crossed out
  1. Start with the balanced equation:

    Mg(s) + CuSO4(aq) → MgSO4(aq) + Cu(s)

  2. Split only the (aq) compounds into ions — the two metals are solids, so they stay whole:

    Mg(s) + Cu2+(aq) + SO42−(aq) → Mg2+(aq) + SO42−(aq) + Cu(s)

  3. Cancel the spectator: SO42− is identical on both sides, so it takes no part:

    Mg(s) + Cu2+(aq) → Mg2+(aq) + Cu(s)

🧪 Try it — ionic equations
Q1

Every strong acid–alkali neutralisation has the same ionic equation. Which? Tick (✓) one box.

Q2

Mixing barium chloride solution with sodium sulfate solution gives a white precipitate. Ionic equation? Tick (✓) one box.

Q3

Ionic equation for dilute acid + a carbonate solution? Tick (✓) one box.

Q4

How many moles of NaOH neutralise 1 mol of H2SO4?

mol
Q5

How many moles of ammonia, NH3, react with 1 mol of HNO3?

mol
Worked steps
  1. NH3 + H+ → NH4+ — one proton each

How did you do?

Work the drills above and your score appears here.

Run the drills again tomorrow — ten minutes a day beats two hours once. Next stop: moles, the currency of A-Level Chemistry.

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