K = product of a_i to the power nu_i
K records the equilibrium composition tendency as a product of activities raised to their stoichiometric powers.
Thermodynamic equilibrium constant built from activities and signed stoichiometric numbers.
- a_i
- activity of species i
- nu_i
- signed stoichiometric coefficient of species i
Use when — Defined standard states are fixed at a given temperature.
Common trap — Inserting a pure solid or pure liquid concentration as a variable term instead of treating its activity as unity.
Kp = Kc × (RT) ^ Δn_g
Pressure and concentration equilibrium constants differ through gas stoichiometry.
Gas-phase relation between the pressure-based and concentration-based equilibrium constants under the common ideal-gas convention.
- Δn_g
- change in moles of gas, products minus reactants
- R
- gas constant
- T
- absolute temperature (K)
Use when — Ideal gases, a consistent standard-state convention, and the same balanced reaction.
Common trap — Counting solids or liquids in Δn_g instead of only gaseous species.
ΔG = ΔG° + RT ln Q
The reaction quotient tells how the present composition shifts the current driving force away from standard conditions.
Current reaction Gibbs energy change at a given composition, expressed through the reaction quotient.
- ΔG°
- standard Gibbs energy change (J mol^-1)
- Q
- reaction quotient at the current state
Use when — A defined reaction, activities, and a fixed temperature are given.
Common trap — Comparing Q with K for different reaction directions without matching the reaction as written.
Kw = a(H+) × a(OH-)
Acid and base ion activities in water remain linked through the autoionization constant.
Water autoionization constant relating hydrogen-ion and hydroxide-ion activities.
- Kw
- water autoionization constant
Use when — A fixed temperature is specified.
Common trap — Treating 10^-14 as exact at every temperature instead of a value specific to 25 degrees Celsius.
pH = -log10( a(H+) )
pH is a logarithmic measure of hydrogen-ion activity.
Thermodynamic definition of pH as the negative logarithm of hydrogen-ion activity.
- pH
- logarithmic measure of hydrogen-ion activity
Use when — Hydrogen-ion activity is known or can be approximated.
Common trap — Replacing activity with concentration without stating the dilute-solution approximation being used.
pH ≈ pKa + log( [A-] / [HA] )
Buffer pH depends on the logarithm of the conjugate-base to acid concentration ratio.
Henderson relation for an acid buffer, relating pH to the conjugate-base to acid concentration ratio.
- pKa
- negative logarithm of the acid ionization constant
- [A-]
- conjugate base concentration
- [HA]
- weak acid concentration
Use when — The same solution contains a suitable weak-acid buffer and the concentration ratio approximates the activity ratio.
Common trap — Using it before completing reaction stoichiometry, or at an equivalence point where it does not apply.
Ksp = product of a_i to the power nu_i
Dissolution stoichiometry controls the ion powers used in the solubility product.
Solubility product for the dissolution ions of a sparingly soluble salt at saturation.
- Ksp
- solubility product
Use when — A saturated solution is in equilibrium with its solid.
Common trap — Equating molar solubility directly to every ion concentration without applying dissolution stoichiometry.
p = kH × x
Gas partial pressure is proportional to dissolved mole fraction in this convention.
One common Henry's law convention relating gas partial pressure to dissolved mole fraction.
- p
- partial pressure of the gas (Pa)
- kH
- Henry's law constant in the stated convention
- x
- mole fraction of dissolved gas
Use when — Dilute gas solubility is described under a stated convention and temperature.
Common trap — Mixing reciprocal Henry-constant conventions from different sources.