## vitamin a, carrots, lethal dose, C20H30O and so forth

Q: How many carrots would a person have to eat to die from a vitamin A overdose?

A: An acute overdose of vitamin A occurs when a person has 25,000 IU/kg of vitamin A.

1. One IU of vitamin A is equal to 0.6 micrograms of beta-carotene, the pigment that is responsible for carrots orange color.

2. One carrot that weighs 0.3528 Newtons has 108% of a person’s daily needs of vitamin A.

0.3528 N/(9.8 m/s^2) = 0.036 kilograms

0.036 kilograms = 36 grams.

108% * 0.6μg = .648μg

.648μg = 0.000000648g

One 36-gram carrot contains .648μg of vitamin A

3. The ratio of grams of vitamin A to kilograms of human is 25000*0.6μg/kg

25000*0.6μg/kg = 15000 μg/kg

0.015 g/kg

4. The number of carrots required to equal the ratio of grams of vitamin A to kilograms of human is 0.000000648g/0.015 (g/kg). Let us assume the human in question is 61.25 kilograms.

0.000000648g/0.015 (g/kg) = 23148/kg

61.25*23148 = 1417815 carrots

1417815 carrots*.036kg = 51041 kg of carrots

That many carrots would have 19400000 calories.

It is safe no say that no one has ever died of vitamin A overdose via carrots nor will anyone ever will.