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AP Chemistry Notes

7.3.3 What to omit from Q/K (and exam notes)

AP Syllabus focus: ‘Q and K omit solids and pure liquids because their concentrations are effectively constant. Be aware of whether Kc or Kp is used; converting between them is not assessed on the AP Exam.’

Equilibrium expressions are powerful only when written correctly. The most common errors come from including the wrong species, especially pure solids and pure liquids, or mixing up KcK_c and KpK_p.

What to omit from QQ and KK

The core rule (heterogeneous equilibria)

In any equilibrium expression (both reaction quotient QQ and equilibrium constant KK), omit:

  • Pure solids (e.g., CaCO3(s)\mathrm{CaCO_3(s)}, Fe(s)\mathrm{Fe(s)})

  • Pure liquids (e.g., H2O(l)\mathrm{H_2O(l)}, Br2(l)\mathrm{Br_2(l)})

Include species only when their amounts can change the “effective concentration” in a meaningful way, such as:

Pasted image

This graph shows that the solubility (concentration) of several gases in water changes substantially with temperature even at constant pressure. It visually reinforces why gaseous species are treated as composition-dependent terms in equilibrium expressions, unlike pure condensed phases whose activities are taken as approximately 1. Source

  • Aqueous solutes (use bracket concentration, e.g., [Na+][\mathrm{Na^+}])

  • Gases (use partial pressures for Qp/KpQ_p/K_p)

Why pure solids and pure liquids are omitted

Their “concentrations” do not meaningfully change as long as some of the phase is present:

  • A pure solid has essentially constant density, so its molar amount per unit volume of solid is constant.

  • A pure liquid similarly has nearly constant density (and thus constant molar concentration for the pure liquid).

These constant factors are mathematically absorbed into the constant itself, so the equilibrium expression is written only in terms of variable composition species (gases and dissolved solutes).

Activity viewpoint (what the rule is really saying)

Activity: An effective concentration used in equilibrium expressions; for a pure solid or pure liquid, activity is approximately 1 under typical conditions.

Because the activity of a pure solid or liquid is ~1, including it would multiply the expression by ~1 and change nothing, so it is omitted by convention.

How to write expressions without the omitted phases

Write QQ or KK using only species whose measured amounts can vary in the mixture (typically aqueous and gaseous species), with exponents equal to stoichiometric coefficients.

Kc=[products]ν[reactants]νK_c = \dfrac{\prod [\text{products}]^{\nu}}{\prod [\text{reactants}]^{\nu}}

[ ][\ ] = equilibrium molar concentration of an aqueous solute, mol,L1\mathrm{mol,L^{-1}}

Kp=(Pproducts)ν(Preactants)νK_p = \dfrac{\prod (P_{\text{products}})^{\nu}}{\prod (P_{\text{reactants}})^{\nu}}

PP = partial pressure of a gaseous species (commonly in atm)

This same “include/omit” logic applies identically to QcQ_c and QpQ_p.

Common traps involving H2O\mathrm{H_2O}

Water is frequently present, so state symbols matter:

  • Omit H2O(l)\mathrm{H_2O(l)} when it is a pure liquid (even if it appears as a reactant or product in the balanced equation).

  • Include H2O(g)\mathrm{H_2O(g)} because it is a gas (its partial pressure can change).

  • Include H2O(aq)\mathrm{H_2O(aq)} only if it is being treated as a solute in a nonstandard way (rare in AP-level contexts; most often you won’t see water written as (aq)\mathrm{(aq)}).

A related idea: in reactions occurring in water, the solvent is not written into KK as a “reactant” because its effective concentration is treated as constant under the conditions assumed.

“Be aware of whether KcK_c or KpK_p is used” (AP exam note)

Always match the equilibrium constant form to the data provided:

Pasted image

These two expressions highlight the structural parallel between KcK_c and KpK_p: both are products-over-reactants with exponents equal to stoichiometric coefficients. The key difference is the measurable quantity used—molar concentrations for KcK_c versus partial pressures for KpK_p. Source

  • If the problem gives molar concentrations or refers to species in solution, it is typically Qc/KcQ_c/K_c.

  • If the problem gives partial pressures for gases, it is Qp/KpQ_p/K_p.

Use consistent quantities within one expression (don’t mix [ ][\ ] and PP in the same QQ or KK expression unless a problem explicitly defines a nonstandard approach).

Conversion note (what you are not required to do)

You should recognise that KcK_c and KpK_p are different forms, but converting between KcK_c and KpK_p is not assessed on the AP Exam. Your task is primarily to choose the correct form and write the expression correctly, omitting pure solids and pure liquids.

FAQ

They are in their standard state as a separate phase.

For a pure phase, the “effective concentration” does not change appreciably with the amount present, so equilibrium uses a reference value, giving activity $\approx 1$.

$K$ depends on temperature, not on how much solid is present.

Adding solid can change the rate of reaching equilibrium, but not the equilibrium ratio expressed by $K$, provided the solid phase remains present.

If water is not a pure liquid.

Examples include:

  • $\mathrm{H_2O(g)}$ in gas-phase equilibria (included via $P_{\mathrm{H_2O}}$)

  • Situations where water is a solute or its activity is not approximated as constant (beyond typical AP scope)

No—only that they are not variables in the expression.

Pure solids/liquids still participate and can limit how far the reaction proceeds (e.g., if one solid is completely consumed, the equilibrium situation changes).

Formally, $K$ is defined using activities, making it dimensionless.

In AP-style problems, you may see units implied by concentration-based forms, but you should treat $K$ as a number tied to a specific way of writing the expression and a specific temperature.

Practice Questions

(2 marks) For CaCO3(s)CaO(s)+CO2(g)\mathrm{CaCO_3(s) \rightleftharpoons CaO(s) + CO_2(g)}, write the correct equilibrium constant expression.

  • Kp=PCO2K_p = P_{\mathrm{CO_2}} (1)

  • Omits solids CaCO3(s)\mathrm{CaCO_3(s)} and CaO(s)\mathrm{CaO(s)} (1)

(5 marks) Consider Fe3+(aq)+SCN(aq)FeSCN2+(aq)\mathrm{Fe^{3+}(aq) + SCN^{-}(aq) \rightleftharpoons FeSCN^{2+}(aq)} in water.
(a) Write KcK_c. (2 marks)
(b) A student includes H2O(l)\mathrm{H_2O(l)} in the denominator of KcK_c. State whether this is correct and justify. (3 marks)

  • (a) Kc=[FeSCN2+][Fe3+][SCN]K_c=\dfrac{[\mathrm{FeSCN^{2+}}]}{[\mathrm{Fe^{3+}}][\mathrm{SCN^-}]} (2: correct form (1), correct exponents/species (1))

  • (b) Not correct to include H2O(l)\mathrm{H_2O(l)} (1)

  • H2O(l)\mathrm{H_2O(l)} is a pure liquid with effectively constant concentration/activity 1\approx 1 (1)

  • Its factor is absorbed into KcK_c so it is omitted by convention (1)

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