QuestionCalculate the proof of a solution that is 50% ethanol by volume, knowing pure ethanol is 200 proof.

Studdy Solution

STEP 1

Assumptions1. The percentage of ethanol in the solution is50% . Pure ethanol is exactly200 proof3. A solution that is50% ethanol by volume is exactly100 proof

STEP 2

We need to find the proof of the given ethanol-water solution. The proof is a measure of the relative amount of ethanol in the beverage.

STEP 3

Given that a solution that is50% ethanol by volume is exactly100 proof, we can set up a proportion to find the proof of the given solution.
$\frac{Proof\, of\, given\, solution}{Proof\, of\,50\% \,ethanol\, solution} = \frac{Percentage\, of\, ethanol\, in\, given\, solution}{Percentage\, of\, ethanol\, in\,50\% \,ethanol\, solution}$

STEP 4

Substitute the known values into the equation.
$\frac{Proof\, of\, given\, solution}{100} = \frac{50\%}{50\%}$

STEP 5

implify the equation.
$Proof\, of\, given\, solution =100$ The proof of the given ethanol-water solution is100.

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