A farmer kiss need to straighten a 15% alcohol solution to one of 32% alcohol how much pure alcohol should be added to 400 ml of the 15% solution
Answers
Answer:
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400ml has 15% alcohol i.e 60ml .
This means we have 340ml of water or the liquid with which alcohol is mixed
Let
V be the volume of alcohol added to make the strength 32%
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V/340+V = 32/100. solving this we get V as 160ml
so we need to add 160 -60 = 100ml of alchohol
Explanation:
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Answer :
- 100 ml
Step-by-step explanation :
Given :
- A farmer kiss need to straighten a 15% alcohol solution to one of 32% alcohol.
To find :
- How much pure alcohol should be added to 400 ml of the 15% solution.
Quantity of pure alcohol in 400 ml of 15 % solution = 400 × 15/100 = 60 ml
Let pure alcohol added to 15 % solution to get 32% solution = x ml.
Then quantity of pure alcohol = (60 + x) ml
According to the given question, we have
60 + x = 32% of (400 + x) = 32/100(400 + x)
⟹ 60 + x = 8/25(400 + x)
⟹ 25(60 + x) = 8(400 + x)
⟹ 1500 + 25x = 3200 + 8x
⟹ 25x - 8x = 3200 - 1500
⟹ 17x = 1700
∴ x = 1700/17 = 100.
Hence, quantity of pure alcohol added to 15 % solution to get 32% solution = 100 ml.