← Equilibrium principles in aqueous systems

1 Reading the notation

This standard uses many subscripted K values and log-scale quantities. Here is what each actually means.

📖 Symbols used in aqueous equilibria

8 terms

Cover the right column and check you can say what each one means.

⇌ (double half-arrow)
A reversible reaction at equilibrium, both directions occur at once. Different from →, which means the reaction goes essentially to completion.
K (equilibrium constant)
The ratio of products to reactants at equilibrium, each raised to its coefficient. Large K means products are favoured. K changes ONLY with temperature. Concentration and pressure shift the position of equilibrium, not K.
Ka / Kb
Acid and base dissociation constants: how far a weak acid or base ionises. Larger Ka = stronger acid. For a conjugate pair, Ka × Kb = Kw.
Kw
The ionic product of water: [H⁺][OH⁻] = 1.0 × 10⁻¹⁴ at 25 °C.
Ks (solubility product)
The equilibrium constant for a sparingly soluble solid dissolving. A precipitate forms when the ionic product exceeds Ks.
p (the p in pH, pKa, pOH)
An operator meaning −log₁₀. pH = −log[H⁺]; pKa = −log Ka. The minus sign INVERTS the scale: a smaller pKa means a larger Ka, i.e. a stronger acid.
[X] (square brackets)
The concentration of X in mol L⁻¹. [H⁺] is the hydrogen-ion concentration. Here square brackets always mean concentration, not mathematical grouping.
mol L⁻¹
Moles per litre. The ⁻¹ means “per”, so L⁻¹ is “per litre”.
✓

Reading a negative superscript

A superscript −1 means “per”. mol L⁻¹ = moles per litre; J K⁻¹ mol⁻¹ = joules per kelvin per mole; cm⁻¹ = per centimetre. It is division, written compactly.

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