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Question: > On mixing 15.0 ml of ethyl alcohol of density 0.792 g ml -1 with 15 ml of pure water at 40 C, the ...

On mixing 15.0 ml of ethyl alcohol of density 0.792 g ml -1 with 15 ml of pure water at 40 C, the resulting solution is found to have a density of 0.924 g ml -1. The percentage contraction in volume is :

A

8 %

B

2 %

C

3 %

D

4 %

Answer

3 %

Explanation

Solution

(3)

Mass of ethyl alcohol = 1.5 ´ 0.792 g

Mass of water = 15 ´ 1

Total mass of solution = 15 + 0.792 ´ 15 = 26.88

Volume of solution=massdensity=26.880.924=29.09= \frac{mass}{density} = \frac{26.88}{0.924} = 29.09

% decrease in volume S=(30=29.0930)×1003%.= \left( \frac{30 = 29.09}{30} \right) \times 100 \cong 3\%.