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The partial specific volume \bar, express the variation of the extensive volume of a mixture in respect to composition of the masses. It is the
partial derivative In mathematics, a partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant (as opposed to the total derivative, in which all variables are allowed to vary). Part ...
of volume with respect to the mass of the component of interest. :V=\sum _^n m_i \bar, where \bar is the partial specific volume of a component i defined as: :\bar=\left( \frac \right)_. The PSV is usually measured in
milliLiters The litre (international spelling) or liter (American English spelling) (SI symbols L and l, other symbol used: ℓ) is a metric unit of volume. It is equal to 1 cubic decimetre (dm3), 1000 cubic centimetres (cm3) or 0.001 cubic metre (m3). ...
(mL) per
gram The gram (originally gramme; SI unit symbol g) is a Physical unit, unit of mass in the International System of Units (SI) equal to one one thousandth of a kilogram. Originally defined as of 1795 as "the absolute weight of a volume of pure wate ...
(g), proteins > 30 kDa can be assumed to have a partial specific volume of 0.708 mL/g. Experimental determination is possible by measuring the natural frequency of a U-shaped tube filled successively with air, buffer and protein solution.


Properties

The sum of partial specific volumes of a mixture or solution is an inverse of density of the mixture namely the
specific volume In thermodynamics, the specific volume of a substance (symbol: , nu) is an intrinsic property of the substance, defined as the ratio of the substance's volume () to its mass (). It is the reciprocal of density (rho) and it is related to the mol ...
of the mixture. :v = \sum_i w_i\cdot \bar = \frac :\sum_i \rho_i \cdot \bar = 1


Notes


See also

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Partial molar property In thermodynamics, a partial molar property is a quantity which describes the variation of an extensive property of a solution or mixture with changes in the molar composition of the mixture at constant temperature and pressure. It is the part ...
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Apparent molar property In thermodynamics, an apparent molar property of a solution component in a mixture or solution is a quantity defined with the purpose of isolating the contribution of each component to the non-ideality of the mixture. It shows the change in the c ...
Density {{Biochem-stub