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Chemistry · Glossary

What is Reaction quotient?

Definition 43.5 School Chemistry — Grades 1 to 12 · Chapter 43 — Chemical Equilibrium: Quotient and Constant

For a reaction in solution a A+b B⇌c C+d Da\,\ce{A} + b\,\ce{B} \rightleftharpoons c\,\ce{C} + d\,\ce{D}, the reaction quotient in a given state of the system is

Q=([C]/c∘)c([D]/c∘)d([A]/c∘)a([B]/c∘)b.Q = \frac{\left([\ce{C}]/c^\circ\right)^c \left([\ce{D}]/c^\circ\right)^d} {\left([\ce{A}]/c^\circ\right)^a \left([\ce{B}]/c^\circ\right)^b} .

Solids, and the solvent (water in an aqueous solution), do not appear in QQ.

Examples

Example 43.6 (Writing quotients)

For CHX3COOH+HX2O⇌CHX3COOX−+HX3OX+\ce{CH3COOH + H2O <=> CH3COO- + H3O+} in water (the ion HX3OX+\ce{H3O+} is introduced in the next chapter), water is the solvent: Q=[CHX3COOX−] [HX3OX+][CHX3COOH] c∘Q = \dfrac{[\ce{CH3COO-}]\,[\ce{H3O+}]}{[\ce{CH3COOH}]\,c^\circ}. For the dissolving of a solid, AgCl(s)⇌AgX++ClX−\ce{AgCl(s) <=> Ag+ + Cl-}, the solid is left out: Q=[AgX+][ClX−]/(c∘)2Q = [\ce{Ag+}][\ce{Cl-}]/(c^\circ)^2. For the esterification, where all four species are in the same liquid mixture of volume VV, the volumes cancel and Q=nester nwaternacid nalcoholQ = \dfrac{n_{\text{ester}}\, n_{\text{water}}}{n_{\text{acid}}\, n_{\text{alcohol}}}.

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Definition 7.13 University Chemistry — Year 1 · Chapter 7 — Describing a Chemical System: Extent, Activities, Q and K

The reaction quotient of a reaction 0=∑iνi Ai0 = \sum_i \nu_i\,\mathrm{A}_i in a given state of the system is

Q=∏iaiνi,Q = \prod_i a_i^{\nu_i} ,

the product of the activities of the products divided by that of the reactants, each raised to the power of its stoichiometric coefficient.

Examples

Example 7.14 (Three quotients)

For NX2(g)+3 HX2(g)⇌2 NHX3(g)\ce{N2(g) + 3H2(g) <=> 2NH3(g)}: Q=(pNHX3/p∘)2(pNX2/p∘)(pHX2/p∘)3Q = \dfrac{(p_{\ce{NH3}}/p^\circ)^2} {(p_{\ce{N2}}/p^\circ)(p_{\ce{H2}}/p^\circ)^3}. For CHX3COOH(aq)+HX2O(l)⇌CHX3COOX−(aq)+HX3OX+(aq)\ce{CH3COOH(aq) + H2O(l) <=> CH3COO^-(aq) + H3O+(aq)}: Q=[CHX3COOX−][HX3OX+][CHX3COOH] c∘Q = \dfrac{[\ce{CH3COO-}][\ce{H3O+}]}{[\ce{CH3COOH}]\,c^\circ}, the solvent having activity 1. For CaCOX3(s)⇌CaO(s)+COX2(g)\ce{CaCO3(s) <=> CaO(s) + CO2(g)}: Q=pCOX2/p∘Q = p_{\ce{CO2}}/p^\circ, the solids having activity 1.

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