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10 ml of pure ethyl alcohol of density 0.785 g/ml was diluted with water to a final value of 100 ml. The density of resulting solution was 0.9866 g/ml. Percentage by weight of ethyl alcohol is ___.
Correct Answer: 7.96
The mass of alcohol is $$10 \times 0.785 = 7.85\text{ g}$$ and the mass of the solution is $$100 \times 0.9866 = 98.66\text{ g}$$. The percentage by weight is $$\frac{7.85}{98.66} \times 100 \approx 7.96\%$$.
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