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1 litre of water is added to 5 Il tres o...

1 litre of water is added to 5 Il tres of alcohol-water solution con taining 40% alcohol strength. The strength of alcohol in the new solution will be

A

0.3

B

0.33

C

33 `2/3` %

D

33 `1/3` %

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the strength of alcohol in the new solution after adding 1 liter of water to the existing 5 liters of alcohol-water solution that contains 40% alcohol. ### Step-by-Step Solution: 1. **Calculate the amount of alcohol in the original solution:** - The original solution is 5 liters with 40% alcohol. - Amount of alcohol = 40% of 5 liters = (40/100) * 5 = 2 liters. 2. **Determine the total volume of the new solution:** - We add 1 liter of water to the original 5 liters of solution. - Total volume of the new solution = 5 liters + 1 liter = 6 liters. 3. **Calculate the strength of alcohol in the new solution:** - The amount of alcohol remains the same, which is 2 liters. - Strength of alcohol in the new solution = (Amount of alcohol / Total volume of solution) * 100 - Strength of alcohol = (2 liters / 6 liters) * 100 = (1/3) * 100 ≈ 33.33%. ### Final Answer: The strength of alcohol in the new solution will be approximately **33.33%**.
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