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Activity of a Component of Ideal Mixture

a_i = x_i (ideal); μ_i = μ°_i + RT ln(a_i)
Quick Reference
Formula / Notationa_i = x_i (ideal); μ_i = μ°_i + RT ln(a_i)
Also Known AsThermodynamic activity; relative activity; a_i; fugacity (for gases)

What is Activity of a Component of Ideal Mixture?

The activity of a component in an ideal mixture equals its mole fraction (a_i = x_i). Activity is a dimensionless quantity that expresses the effective concentration of a species in a mixture, accounting for non-ideal behaviour. In ideal solutions, Raoult's law holds and the activity coefficient γ_i = 1.

Formula & Notation

a_i = x_i (ideal); μ_i = μ°_i + RT ln(a_i)

Other Names / Synonyms: Thermodynamic activity; relative activity; a_i; fugacity (for gases)

Properties & Characteristics

Dimensionless quantity; a_i = γ_i × x_i (general); a_i = x_i for ideal mixtures (γ_i = 1); used in chemical potential calculations; deviation from ideality measured by activity coefficient

Uses & Applications

Thermodynamic calculations for non-ideal solutions; calculating equilibrium constants for real systems; vapour pressure calculations using Raoult's law; electrochemistry and Nernst equation corrections

Safety Information

No direct hazard — a thermodynamic property concept.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Activity of a Component of Ideal Mixture
Formula a_i = x_i (ideal); μ_i = μ°_i + RT ln(a_i)
Synonyms Thermodynamic activity; relative activity; a_i; fugacity (for gases)

Frequently Asked Questions

The activity of a component in an ideal mixture equals its mole fraction (a_i = x_i). Activity is a dimensionless quantity that expresses the effective concentration of a species in a mixture, accounting for non-ideal behaviour. In ideal solutions, Raoult's law holds and the activity coefficient γ_i = 1.

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