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3.1.1 Writing formulae and balanced chemical equations

Formulae are built from chemical symbols

Definition

Chemical symbol

A one- or two-letter code for an element, such as Na for sodium, in which the first letter is always a capital.

Definition

Chemical formula

A group of element symbols and numbers that shows which elements a substance contains and how many atoms of each are present.

  1. Each element has a chemical symbol of one or two letters, such as H for hydrogen and Mg for magnesium.
  2. The first letter of a symbol is always a capital letter, and a second letter is always lower case, as in Ca for calcium and Cl for chlorine.
  3. The Periodic Table you are given shows the symbol, name, atomic number and relative atomic mass of every element, so you can look up any symbol you are unsure of.
  4. Some symbols come from Latin names, so sodium is Na, potassium is K, iron is Fe, copper is Cu, silver is Ag and lead is Pb.
  5. A chemical formula combines symbols to show which elements a substance contains.
    1. A small number written after and below a symbol, called a subscript, gives the number of atoms of that element, and no number means one atom.
Common Mistake

Do not use two capital letters for one element, because CO\text{CO}CO is carbon monoxide, a compound of carbon and oxygen, while Co\text{Co}Co is the metal cobalt.

Formulae of elements and simple covalent compounds

Definition

Molecule

A particle made from two or more atoms joined by covalent bonds.

  1. Metals, carbon and the noble gases are written as their symbol alone, such as Fe, C and He.
  2. Seven elements exist as diatomic molecules, so their formulae are H2\text{H}_2H2​, N2\text{N}_2N2​, O2\text{O}_2O2​, F2\text{F}_2F2​, Cl2\text{Cl}_2Cl2​, Br2\text{Br}_2Br2​ and I2\text{I}_2I2​.
    1. Hydrogen gas is therefore H2\text{H}_2H2​, while H on its own stands for a single hydrogen atom.
  3. A simple covalent compound is made of small molecules, and its formula counts every atom in one molecule.
    1. Water is H2O\text{H}_2\text{O}H2​O, ammonia is NH3\text{NH}_3NH3​, methane is CH4\text{CH}_4CH4​ and hydrogen chloride is HCl\text{HCl}HCl.
  4. In the names of covalent compounds, the prefixes mono, di and tri mean one, two and three atoms of the element they are attached to.
    1. Carbon monoxide is CO\text{CO}CO, carbon dioxide is CO2\text{CO}_2CO2​ and nitrogen dioxide is NO2\text{NO}_2NO2​.
Key Idea

The numbers in a formula are part of the substance's identity, so SO2\text{SO}_2SO2​ and SO3\text{SO}_3SO3​ are two different compounds with different properties.

Formulae and names of simple ionic compounds

Definition

Ionic compound

A compound made of positive and negative ions held together by electrostatic attraction, with charges that cancel overall.

  1. An ionic compound usually forms when a metal reacts with a non-metal, and the metal is named first.
  2. A name ending in -ide usually means the compound contains only two elements, as in sodium chloride, NaCl\text{NaCl}NaCl, and magnesium oxide, MgO\text{MgO}MgO.
    1. Hydroxide is the exception, because it contains oxygen and hydrogen, as in sodium hydroxide, NaOH\text{NaOH}NaOH.
  3. A name ending in -ate means the compound also contains oxygen, as in calcium carbonate, CaCO3\text{CaCO}_3CaCO3​, copper sulfate, CuSO4\text{CuSO}_4CuSO4​, and sodium nitrate, NaNO3\text{NaNO}_3NaNO3​.
  4. The formula gives the simplest ratio of ions, because the ions form a giant lattice rather than separate molecules.
    1. In MgCl2\text{MgCl}_2MgCl2​ there are two chloride ions for every magnesium ion.
  5. The common acids have the formulae HCl\text{HCl}HCl for hydrochloric acid, H2SO4\text{H}_2\text{SO}_4H2​SO4​ for sulfuric acid and HNO3\text{HNO}_3HNO3​ for nitric acid.
Note

Working out an ionic formula from the charges on its ions follows in the next topic, on formulae of compounds from ions.

Balanced equations conserve atoms on both sides

Definition

Balanced equation

A chemical equation with the same number of atoms of each element on the reactant side and the product side.

Definition

Balancing number

A number written in front of a formula in an equation, which multiplies every atom in that formula.

  1. In a reaction, atoms are rearranged into new substances, but no atoms are made or destroyed.
    1. The total mass of the products therefore equals the total mass of the reactants, which is the conservation of mass.
  2. An equation shows the reactants on the left of the arrow and the products on the right, with a plus sign between substances.
  3. To balance an equation, write a balancing number in front of a formula, which multiplies every atom in that formula.
    1. In 2H2O2\text{H}_2\text{O}2H2​O there are four hydrogen atoms and two oxygen atoms.
  4. Never change the subscripts in a formula, because that would change the substance.
    1. Changing H2O\text{H}_2\text{O}H2​O to H2O2\text{H}_2\text{O}_2H2​O2​ would turn water into hydrogen peroxide.
Example
  • Balance the equation for methane burning in oxygen: CH4+O2→CO2+H2O\text{CH}_4 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O}CH4​+O2​→CO2​+H2​O.
  • Count the atoms: the left has 1 C, 4 H and 2 O, while the right has 1 C, 2 H and 3 O.
  • Put 222 in front of H2O\text{H}_2\text{O}H2​O to balance hydrogen, giving 4 H and 4 O on the right.
  • Put 222 in front of O2\text{O}_2O2​ to balance oxygen, giving 4 O on the left.
  • Check that each side now has 1 C, 4 H and 4 O: CH4+2O2→CO2+2H2O\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}CH4​+2O2​→CO2​+2H2​O.

Four steps from names to a balanced equation

Definition

Word equation

An equation that names the reactants and products instead of giving their formulae.

  1. Start with a word equation, such as magnesium + oxygen →\rightarrow→ magnesium oxide.
  2. Replace each name with its correct formula, using the Periodic Table for any symbol you need: Mg+O2→MgO\text{Mg} + \text{O}_2 \rightarrow \text{MgO}Mg+O2​→MgO
    1. Oxygen is written as O2\text{O}_2O2​, because it is one of the diatomic elements.
  3. Balance one element at a time, leaving any element that appears in several formulae until last.
    1. Putting 222 in front of MgO\text{MgO}MgO balances oxygen, and then 222 in front of Mg\text{Mg}Mg balances magnesium: 2Mg+O2→2MgO2\text{Mg} + \text{O}_2 \rightarrow 2\text{MgO}2Mg+O2​→2MgO
  4. Finish by recounting every atom on both sides, and use the smallest whole-number balancing numbers that work.
Exam technique
  • When a question gives names, write every formula before you add any balancing numbers, because a wrong formula cannot be fixed by balancing.
  • Write +++ between substances and an arrow between the two sides, never the word 'and' or an equals sign.
Self review
  • What is the formula of chlorine gas, and why?
  • What is the difference between Co\text{Co}Co and CO\text{CO}CO?
  • Which elements does calcium carbonate contain, and what is its formula?
  • Why must you never change a subscript when balancing an equation?
  • Balance the equation Al+O2→Al2O3\text{Al} + \text{O}_2 \rightarrow \text{Al}_2\text{O}_3Al+O2​→Al2​O3​.
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A chemical symbol is a one- or two-letter code for an element. The first letter is always capitalised and the second letter, if present, is always lower case, so calcium is Ca\text{Ca}Ca and chlorine is Cl\text{Cl}Cl.

A chemical formula combines symbols and subscripts to show which elements are present and how many atoms of each are included. A missing subscript means one atom, so CO2\text{CO}_2CO2​ contains one carbon atom and two oxygen atoms.

Capitalisation matters: CO\text{CO}CO is carbon monoxide, whereas Co\text{Co}Co is the element cobalt.

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3.1.1 Writing formulae and balanced chemical equations Revision Guide

  1. GCSE
  2. /Chemistry
  3. /3.1.1 Writing formulae and balanced chemical equations

Revision notes for OCR GCSE Chemistry 3.1.1 Writing formulae and balanced chemical equations: explanations and worked examples.

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