a mouthwash contains 22% alcohol by volume. How many milliliters of alcohol are in a 1.05 pint bottle of mouthwash 2 pints= 1 quart

Answer 1

Hi Srabunty!

Sure, 2 pints equals 1 quart, but we need to convert to mL. Looking up this conversion, we find that:

1 pint = 473.176 mL (almost half a liter, and almost a quarter of a large soda bottle)

We know the volume, and the percent content of alcohol. The rest of the problem is setting up the unit conversions:

V = 1.05 pints

x = 22% alcohol = 0.22 mL alcohol / 1 mL mouthwash = 22 mL alcohol / 100 mL mouthwash

Our equation is thus:

Vx = V_alcohol

1.05 pints * 473.176 mL mouthwash * 0.22 mL alcohol = 109 mL alcohol

1 pint 1 mL mouthwash

Work through and see how the units cancel, and remember to follow your rules on sig figs.

So there you have it - one example of percent content with unit conversions! Hope this helps, and please reach out if you have any more questions!