Question #60410

Sep 17, 2014

A lethal dose would be 300 cans of soda.

This is a problem in unit conversion.

You have to convert grams of caffeine → milligrams of caffeine → ounces of soda → cans of soda.

10.0 g caffeine × $\text{1000 mg caffeine"/"1 g caffeine" × "1 oz soda"/"2.75 mg caffeine" × "1 can"/"12 oz soda}$ =

300 cans soda

Notice how the conversion factors are set up to make the units cancel and give the desired units for the answer.

Note: The answer can have only 2 significant figures, because that is all you gave for the ounces of soda in a can. If you need more precision, you will have to recalculate.