The law of equivalents
Substances combine in fixed quantitative ratios. An equivalent is the amount that combines with, or takes the place of, 1 mol of hydrogen atoms (1 g). The mass of one equivalent is called the equivalent mass: E(H) = 1 g/mol, E(O) = 16 : 2 = 8 g/mol. For an element E = Aᵣ : valency, for example E(Mg) = 24 : 2 = 12, E(Al) = 27 : 3 = 9. For compounds: E(oxide) = M : (valency · number of atoms of the element), E(acid) = M : n(H), E(base) = M : n(OH), E(salt) = M : (valency of the metal · number of metal atoms). The law of equivalents: the masses of reacting substances are proportional to their equivalent masses, m₁ : m₂ = E₁ : E₂. Many elements show different valencies in different compounds, so their equivalent changes too (iron: 28 in FeCl₂, 56 : 3 ≈ 18.7 in FeCl₃).
“Equivalent cards”: write 8 elements on cards (Na, Mg, Al, Ca, O, Cl, S(VI), C(IV)); write E on the back and check with a friend. Only calculate; no substances are used.