Question

If the caffeine concentration in a particular brand of soda is 1.87 mg/oz, drinking how many cans of soda would be lethal? Assume 10.0 grams of caffeine is a lethal dose, and there are 12 oz in a can.

Answer 1

To reach a lethal dose of caffeine at a concentration of 1.87 mg/oz, one would need to consume approximately 446 cans of soda containing 12 oz each.

Step-by-step explanation:

If the caffeine concentration in a certain brand of soda is 1.87 mg/oz, and considering that there are 12 oz in a can, then one can contains 1.87 mg/oz × 12 oz = 22.44 mg of caffeine. To reach a lethal dose of 10.0 grams (10,000 mg) of caffeine, you would need to drink 10,000 mg ÷ 22.44 mg/can ≈ 445.8 cans of soda. Therefore, drinking approximately 446 cans of soda could be lethal, based on this concentration.

Answer 2

2.77mg caffeine / 1oz12oz / 1canLethal dose: 10.0g caffeine = 10,000mg caffeine First, find how much caffeine is in one can of soda, then divide that amount by the lethal dose to find the number of cans. (2.77mg caffeine / 1oz) * (12oz / 1can) = 33.24mg caffeine / 1can. (10,000mg caffeine) * (1can / 33.24mg caffeine) = 300.84 cans. Since we can't buy parts of a can of soda, then we have to round up to 301 cans. Notice how all the values were set up as ratios and how the units cancelled.