If 40 g of ethyl alcohol is dissolved in 50 ml of water, then calculate the weight/volume percentage of ethyl alcohol present in the solution? [Density of ethyl alcohol = 0.8 g/ml].

40%

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30%

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25%

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35%

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Solution

The correct option is A 40%
Weight/ Volume of component $= \frac{M a s s o f c o m p o n e n t}{T o t a l v o l u m e o f s o l u t i o n} \times 100$
Mass of component i.e ethyl alcohol $= 40 g$
Volume of water $= 50 m l$
Volume of ethyl alcohol $= \frac{m a s s}{d e n s i t y} = \frac{40}{0.8} = 50 m l$
Total volume of solution $= V o l u m e o f H_{2} O + V o l u m e o f e t h y l a l c o h o l$
$= 50 + 50 = 100 m l$
W/V of component $= \frac{40}{100} \times 100 = 40$ %

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