a pharmacist needs to strengthen a 15% alcohol solution to one of 32% alcohol how much pure alcohol should be added to 800 ml of 15% solution
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Answer:
200 ml
Step-by-step explanation:
In 800 ml of 15% solution, since 100% - 15% = 85%, the amount of water is:
water volume = 85% of 800 ml = 0.85 × 800 ml = 680 ml.
Let V be the volume of 32% solution after adding pure alcohol.
The amount of water is the same (i.e. we're adding pure alcohol), and as a proportion, it is 100% - 32% = 68%. So...
68% of V = 680 ml
=> 0.68 V = 680 ml
=> V = 680/0.68 ml = 1000 ml
So the volume of the 32% solution will be 1000 ml.
The amount of pure alcohol to add is then 1000 ml - 800 ml = 200 ml.
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