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Excess molar quantity
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Excess molar quantity : ウィキペディア英語版
Excess molar quantity
Excess molar quantities are properties of mixtures which characterize the nonideal behaviour of real mixtures. They are the difference between the partial molar property of a component in a real mixture and that of the component in an ideal mixture. The most frequently used excess molar quantities are the excess molar volume, excess molar enthalpies and heat capacities, excess chemical potential. For volumes, internal energies and enthalpies the excess quantities are identical to the mixing quantities. They can be expressed as functions of derivatives of the activity coefficients.
==Definition==
By definition, excess properties of a mixture are related to those of the pure substances in an ideal mixture by:
:z^E=z-\sum_i x_iz^_i.
Here
* denotes the pure substance, E the excess molar property, and z corresponds to the specific property under consideration. From the definition of partial molar properties,
:z=\sum_i x_i \bar,
substitution yields:
:z^E=\sum_i x_i(\bar-z_i^).
For volumes, internal energies and enthalpies the excess quantities are identical to the mixing quantities. They can be expressed as functions of derivatives of the activity coefficients.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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