Posted by Anonymous on Sunday, November 14, 2010 at 11:56pm.
12.5% by volume means 12.5 mL ethanol/100 mL of solution. Don't we need the density of the wine in order to calculate the mass of the 100 mL?
We can estimate if we assume ethanol and water volumes add (and I KNOW they do not).
12.5 mL ethanol in (12.5 mL ethanol+ 87.5 mL water). Using the densities above, calculate volume ethanol and volume water. I get 9.86 g for ethanol and 87.5 g for water for a total of 97.36 grams. The solution is 9.86g/97.36 g = 10.13% by mass (w/w%).
To convert this number to molality, we want to find moles ethanol/kg solvent.
moles ethanol = grams/molar mass which you can do.
moles ethanol/(10.13 g + 89.87 g water), then moles/kg solvent gives molality.
2.45
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