how can we identify whether a substance is pure or not by knowing its density ?

 Since all pure substances have a density that is specific to that substance, the substance itself can be identified if its
density is known. All pure substances have a specific mass:volume ratio i.e. Density.
Sharpness of the melting point can also be used to determine whether a substance is pure or impure .

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by using the property of relative density as well as archimedes principle

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