Define partial molar volume and give its physical significance.

Partial molar volume is a thermodynamic property that represents the change in volume of a solution when an infinitesimal amount of a component is added, keeping temperature, pressure, and the number of moles of other components constant. Mathematically, it is defined as: ____ _________ __________ ____ _________ ________ ___ _______ _____ ____ _____ _____.
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