A solution has been prepared by mixing 5.6 mL of alcohol with 75 mL of water. Calculate the percentage (by volume) of alcohol in the solution.

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We have a solution prepared by mixing five point six milliliters of alcohol with seventy-five milliliters of water. We need to calculate the percentage by volume of alcohol in this solution. The first step is to calculate the total volume of the solution. We add the volume of alcohol, which is five point six milliliters, to the volume of water, which is seventy-five milliliters. This gives us a total volume of eighty point six milliliters. Now we apply the percentage by volume formula. The percentage equals the volume of solute divided by the total volume, multiplied by one hundred percent. We substitute our values: five point six milliliters divided by eighty point six milliliters, times one hundred percent. Now we perform the calculation. Five point six divided by eighty point six equals zero point zero six nine four eight. Multiplying by one hundred gives us six point nine four eight percent. Rounding to two significant figures, our final answer is six point nine percent. To summarize our solution: We calculated the total volume as eighty point six milliliters, applied the percentage by volume formula, performed the calculation to get six point nine four eight percent, and rounded to two significant figures. The final answer is six point nine percent alcohol by volume.