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Chemistry · Glossary

What is Standard state, activity?

Also known as: activity · standard state

Definition 7.11 University Chemistry — Year 1 · Chapter 7 — Describing a Chemical System: Extent, Activities, Q and K

The activity aia_i of a species is a dimensionless number that measures, in the expression of equilibrium laws, how much of it is available; it is defined relative to a standard state, a reference state at the temperature considered and under the standard pressure p∘=1 barp^\circ = 1\,\mathrm{bar}. In the ideal approximations used in this book:

  • for a gas, ai=pi/p∘a_i = p_i/p^\circ (the standard state is the pure perfect gas at p∘p^\circ);
  • for a solute in a dilute solution, ai=ci/c∘a_i = c_i/c^\circ with c∘=1 mol/Lc^\circ = 1\,\mathrm{mol}/\mathrm{L};
  • for the solvent of a dilute solution, and for a pure solid or a pure liquid alone in its phase, ai=1a_i = 1.

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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