Partial specific volume

The partial specific volume v express the variation of the extensive volume of a mixture in respect to composition. It is the partial derivative of volume with respect to the mass of the component of interest.

$V=\sum _{i=1}^{n}m_{i}{\bar {v_{i}}},$

where ${\bar {v_{i}}}$ is the partial specific volume of a component $i$ defined as:

${\bar {v_{i}}}=\left({\frac {\partial V}{\partial m_{i}}}\right)_{T,P,n_{j\neq i}}.$

The PSV is usually measured in milliLiters (mL) per gram (g).

Properties

The sum of partial specific volumes of a mixture or solution is an inverse of density of the mixture namely the specific volume of the mixture.

$v=\sum _{i}w_{i}\cdot {\bar {v_{i}}}={\frac {1}{\rho }}$

$\sum _{i}\rho _{i}\cdot {\bar {v_{i}}}=1$

See also

• Partial molar property
• Apparent molar property