Question

if the caffeine concentration in a particular brand of soda is 3.67 mg/oz, drinking how many cans of soda would be lethal? assume that 10.0 g of caffeine is a lethal dose, and there are 12 oz in a can. cans of soda:

Explanation:

Step1: Convert lethal dose to mg

Since $1\ g = 1000\ mg$, for a lethal dose of $10.0\ g$ of caffeine, we convert it to milligrams.
$10.0\ g\times1000\frac{mg}{g}=10000\ mg$

Step2: Calculate caffeine in one can

The caffeine concentration is $3.67\ mg/oz$ and a can has $12\ oz$. So the amount of caffeine in one can is the product of the concentration and the volume of a can.
$3.67\frac{mg}{oz}\times12\ oz = 44.04\ mg$

Step3: Calculate number of cans

To find the number of cans needed to reach the lethal dose, we divide the lethal - dose in mg by the amount of caffeine in one can.
$\frac{10000\ mg}{44.04\ mg}\approx227.066$

Answer:

227