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.
= [tex](12 \times 2.97)[/tex] mg
= 35.64 mg
= [tex]35.64 \times 10^{-3} g[/tex]
Since, it is given that lethal dose is 10.0 g. Hence, number of cans are calculated as follows.
No. of cans = [tex]\frac{\text{Lethal dose}}{\text{concentration in one can}}[/tex]
= [tex]\frac{10 g}{35.64 \times 10^{-3} g}[/tex]
= 280.58
= 281 (approx)
Thus, we can conclude that 281 cans of soda would be lethal.
