To determine the solution's density, weigh a precisely measured volume of your solution, and divide the mass of solution by the volume of solution.
You must measure the volume of solution to obtain the density. You can't calculate the density of the solution with just the data you've given above. You can get a crude estimate (e. g., if you assume the volume of the dissolved sugar is negligible compared to the volume of the water, the density is roughly (50 g sugar + 500 g water) / 500 mL solution. But the assumption isn't correct- try it yourself!) Even if you happened to know what the volume of the added sugar was, the volume of a solution is NOT the volume of the solute plus the volume of the solvent.
Author: Fred Senese firstname.lastname@example.org
Copyright © 1997-2010 by Fred Senese
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Last Revised 08/17/15.URL: http://antoine.frostburg.edu/chem/senese/101/measurement/faq/print-solution-density-from-concentration.shtml