The change in volume per mole of a substance added is called partial molar volume of the substance.
partial molar volume = change in volume/mol
Mole fraction of a substance is the ratio between mole of substance and total number of moles of solution.
So, the partial molar volume is depend on the number of moles of substance whereas mole fraction depends on moles of substance and total moles of solution.
Therefore, there is no linear relationship between partial molar volume and mole fraction of a component is a mixture.
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