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Chemistry · Glossary

What is Composition variables?

Also known as: mole fraction · mass fraction · molar concentration · partial pressure

Definition 7.3 University Chemistry — Year 1 · Chapter 7 — Describing a Chemical System: Extent, Activities, Q and K

For a constituent ii of a phase containing the amounts njn_j of all its constituents:

  • its mole fraction is xi=ni/∑jnjx_i = n_i/\sum_j n_j, and its mass fraction wi=mi/∑jmjw_i = m_i/\sum_j m_j; both lie between 0 and 1 and sum to 1;
  • in a solution of volume VV, its molar concentration is ci=[i]=ni/Vc_i = [i] = n_i/V, in mol/L\mathrm{mol}/\mathrm{L};
  • in a gas mixture at total pressure pp, its partial pressure is pi=xi pp_i = x_i\,p.

Examples

Example 7.5 (Air)

Dry air contains, by volume (that is, by amount, for perfect gases), 78.08 % dinitrogen, 20.95 % dioxygen and 0.93 % argon. Under 1.013 bar1.013\,\mathrm{bar} the partial pressure of dioxygen is 0.2095×1.013=0.212 bar0.2095 \times 1.013 = 0.212\,\mathrm{bar}; on a mountain where the pressure is 0.70 bar0.70\,\mathrm{bar}, it falls to 0.147 bar0.147\,\mathrm{bar}, though the composition is the same.

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