Partial molar volume (volume molar parsial) is the change in volume of a substance when one mole of that substance is added to a solution while keeping the temperature, pressure, and composition of the solution constant. It is a measure of how the volume of a solution changes with the addition of a particular component.
The partial molar volume of a component in a mixture can be mathematically defined as the derivative of the total volume of the mixture with respect to the number of moles of that component, while keeping the other components constant:
**V_i = (V/n_i)_T,P,n_j**
Where:
- V_i represents the partial molar volume of component i.
- V is the total volume of the mixture.
- n_i is the number of moles of component i.
- T is the temperature.
- P is the pressure.
- n_j represents the number of moles of all other components in the mixture except component i.
The partial molar volume provides insights into the behavior of solutions. It helps in understanding how the volume of a solution changes with the addition of a specific component. The partial molar volume can be used to study phenomena such as solvation, mixing behavior, and phase equilibria.
