Partial molar volume is the change in volume of a solution when one mole of a component is added to the solution, while keeping the temperature, pressure, and amount of other components constant. It is represented by the symbol \(V_i\).

Specific volume is the volume occupied by one unit mass of a substance. It is represented by the symbol \(v\).

The main difference between partial molar volume and specific volume is that partial molar volume is a property of a component in a solution, while specific volume is a property of a substance.

Another difference is that partial molar volume is an intensive property, while specific volume is an extensive property. This means that partial molar volume does not depend on the amount of substance present, while specific volume does.

Finally, partial molar volume is a measure of the change in volume of a solution when a small amount of a component is added, while specific volume is a measure of the volume occupied by a given amount of a substance.