Relative activity

The relative activity a A of a substance A in a liquid or solid mixture is the dimensionless quantity defined by:

a A = l A / l A*

where l A  is the absolute activity of A in the mixture and l A*  is the absolute activity of pure substance A at the same temperature and the same pressure.

Relative activity can be obtained from the relationship:

RT ln a A = m A - m A*

where m A  is chemical potential of A in the mixture and m A*  is the chemical potential of pure substance A at the same temperature and the same pressure.

It results from this definition that  the activity aof a substance A  tends towards 1 when its molar fraction cA tends towards 1.

A mixture for which the approximation a A = a A for all the components is called an ideal mixture.

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