Question

If the caffeine concentration in a particular brand of soda is 2.97 mg/oz, 2.97 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.

Answer 1

Step-by-step explanation:

The given data is as follows.

Concentration of caffeine = 2.97 mg/oz

Number of oz in a can = 12 oz

Therefore, the concentration of caffeine in one can is calculated as follows.

=
`(12 * 2.97)` mg

= 35.64 mg

=
`35.64 * 10^(-3) g`

Since, it is given that lethal dose is 10.0 g. Hence, number of cans are calculated as follows.

No. of cans =
`\frac{\text{Lethal dose}}{\text{concentration in one can}}`

=
`(10 g)/(35.64 * 10^(-3) g)`

= 280.58

= 281 (approx)

Thus, we can conclude that 281 cans of soda would be lethal.