Question

# On mixing 15.0 ml of ethyl alcohol of density 0.792g mlâˆ’3 with 15ml of pure water at 4oC, the resulting solution is found to have a density of 0.924g mlâˆ’1. The percentage contraction in volume is:

A
8%
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B
2%
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C
3%
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D
4%
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Solution

## The correct option is D 3%On mixing15mL of pure water and 15mLof ethyl alcohol, the ideal solution become30mL.15mL of etyl alcohol haing a density of 0.792g/mL weighs 11.8g. 15mL of pure water at 40C has a density of 1.0g/mL and weighs 15g.So the mass of solution is 26.88g.The density of the solution is given to be 0.924g/mL. So its volume is about 29.09mL. Percentagecontraction=(ideal volume) -(observed volume )×100/ideal volume. =30×29.9×100/30 =3.03 or 3%

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