HomeChemistryC1: Principles of ChemistryC1.5 Chemical Formulae and Equations

C1: Principles of Chemistry

C1.1 States of Matter and Kinetic TheoryC1.2 Elements, Compounds, and MixturesC1.3 Atomic StructureC1.4 The Periodic TableC1.5 Chemical Formulae and EquationsC1.6 Ionic BondingC1.7 Covalent BondingC1.8 Metallic Bonding and Properties of Metals
C1: Principles of Chemistry

Chemical Formulae and Equations

Learn to write chemical formulae, balance equations, and calculate formula masses

Chemical equations and formulae

The Language of Chemistry

Formulae, Equations, and Calculations

Chemical Formulae
Representing compounds with symbols and numbers

A chemical formula shows which elements are in a compound and how many atoms of each element are present. Subscript numbers indicate the number of atoms—for example, H₂O shows 2 hydrogen atoms bonded to 1 oxygen atom. When there's no subscript, it means there's just 1 atom.

Valency is the combining power of an element—the number of electrons it loses, gains, or shares when bonding. Knowing valencies helps you write correct formulae. Sodium has valency 1 (Na⁺), chlorine has valency 1 (Cl⁻), so sodium chloride is NaCl. Magnesium has valency 2 (Mg²⁺), so with chlorine it forms MgCl₂.

Polyatomic ions are groups of atoms that carry a charge, such as hydroxide (OH⁻), sulfate (SO₄²⁻), and nitrate (NO₃⁻). When writing formulae with these ions, use brackets if more than one is needed: Mg(OH)₂ shows two hydroxide ions bonded to one magnesium ion.

Chemical Equations
Showing what happens in a chemical reaction

A chemical equation uses formulae to show reactants (starting materials) and products (substances formed). Reactants are written on the left, products on the right, with an arrow (→) showing the direction of the reaction.

Equations must be balanced so that the same number of each type of atom appears on both sides—this reflects the law of conservation of mass. Balance by adding coefficients (numbers in front of formulae), never by changing subscripts.

State symbols show the physical state of each substance: (s) for solid, (l) for liquid, (g) for gas, and (aq) for aqueous (dissolved in water). For example: 2Na(s) + 2H₂O(l) → 2NaOH(aq) + H₂(g).

Calculations with Formulae
Relative formula mass and molar calculations

The relative formula mass (Mr) is the sum of all relative atomic masses in a compound's formula. For CO₂: Mr = 12 + (16 × 2) = 44. For H₂SO₄: Mr = (1 × 2) + 32 + (16 × 4) = 98.

A mole is the amount of substance containing 6.02 × 10²³ particles (Avogadro's number). The mass of one mole of a substance in grams equals its relative formula mass. One mole of CO₂ has a mass of 44 g.

To convert between mass and moles: moles = mass ÷ Mr. For example, 22 g of CO₂ = 22 ÷ 44 = 0.5 moles. This is essential for stoichiometry—calculating amounts in reactions.

Equation Balancer
Adjust the coefficients to balance each chemical equation

Equation 1 of 4

H₂
+O₂
→
H₂O
Key Terms Flashcards

Chemical Formula

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Worked Example
Writing and balancing an equation

Question:

Write a balanced equation for the reaction between magnesium and hydrochloric acid, including state symbols. Then calculate the mass of magnesium chloride produced from 2.4 g of magnesium. (Mg=24, Cl=35.5)

Solution:

Step 1 - Word equation: Magnesium + Hydrochloric acid → Magnesium chloride + Hydrogen

Step 2 - Write formulae: Mg + HCl → MgCl₂ + H₂

Step 3 - Balance: Mg + 2HCl → MgCl₂ + H₂

Step 4 - Add state symbols: Mg(s) + 2HCl(aq) → MgCl₂(aq) + H₂(g)

Step 5 - Calculate moles of Mg: moles = 2.4 ÷ 24 = 0.1 mol

Step 6 - Use ratio: 1:1 ratio, so moles of MgCl₂ = 0.1 mol

Step 7 - Calculate mass: Mr of MgCl₂ = 24 + (35.5 × 2) = 95

Mass = moles × Mr = 0.1 × 95 = 9.5 g

Test Your Knowledge
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What is the chemical formula for water?