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How many liters of mouthwash containing 18% v/v ethanol can be made from 2.5 gallons of absolute ethanol? Round your final answer to the nearest hundredth.

Sagot :

sqdancefan

Answer:

  52.58 liters

Step-by-step explanation:

You want the number of liters of 18% ethanol mouthwash that can be made from 2.5 gallons of 100% ethanol.

Gallons

The number of gallons of mouthwash (m) that can be made from 2.5 gallons of pure ethanol (e) will be ...

  e = 18%×m

  m = e/0.18 = 2.5/0.18 ≈ 13.88889 . . . . gallons

Liters

The number of liters equivalent to 13.88889 gallons is about ...

  [tex]13\dfrac{8}{9}\text{ gal}\times\dfrac{3.785411784 \text{ L}}{1\text{ gal}}\approx52.5752\text{ L}[/tex]

About 52.58 liters of mouthwash can be made from 2.5 gallons of ethanol.

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