Thermodynamic activity: Difference between revisions

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Mixtures in general: amount fractions → mole fractions
Mixtures in general: Defining ni and n explicitly in the text immediately below the three relationships
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===Mixtures in general===
The most convenient way of expressing the composition of a generic mixture is by using the [[mole fraction]]s {{mvar|x}}<{{sub>|i</sub>}}}} (written {{mvar|y}}<{{sub>|i</sub>}}}} in the gas phase) of the different components (or chemical species: atoms or molecules) present in the system, where
 
: <math>x_i = \frac{n_i}{n}\,, \qquad n =\sum_i n_i\,, \qquad \sum_i x_i = 1\,</math>
The standard state of each component in the mixture is taken to be the pure substance, i.e. the pure substance has an activity of one. When activity coefficients are used, they are usually defined in terms of [[Raoult's law]],
 
:<math>a_i = f_i x_i\,</math>
: with {{mvar|n{{sub|i}}}}, the number of moles of the component ''i'', and {{mvar|n}}, the total number of moles of all the different components present in the mixture.
 
The standard state of each component in the mixture is taken to be the pure substance, ''i.e.'' the pure substance has an activity of one. When activity coefficients are used, they are usually defined in terms of [[Raoult's law]],
: <math>a_i = f_i x_i\,</math>
where {{mvar|f<sub>i</sub>}} is the Raoult's law activity coefficient: an activity coefficient of one indicates ideal behaviour according to Raoult's law.