The lethal dose of fluoride is estimated to be 75 mg F- per kilogram body mass for humans. How many tubes of toothpaste would a 70kg adult have to consume to reach this level? A typical tube holds x g of toothpaste containing 0.24% w/w of sodium flouride
2006-09-26 04:48:16 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
In terms of X?
75 mg/kg * 70 kg = 5250 mg of fluoride.
If the toothpaste was 0.24% w/w fluoride then
5250 mg / 0.0024 = 2187500 mg of toothpaste
= 2187.5 grams (this is like 4.8 pounds!!)
2187.5 grams toothpaste / X grams per tube = number of tubes
2006-09-26 04:55:29 · answer #1 · answered by Richard 7 · 68⤊ 0⤋
For a 70 kg adult,lethal dose of fluoride = (70*75)mg=5250mg=5.25g .
Let us suppose that n tubes would work out the problem,so,
n*x*24/10000=5.25
n = 52500/(x*24)
n = 2187.5/x
2006-09-26 12:37:55 · answer #2 · answered by avinash k 1 · 0⤊ 0⤋
Multiply 75 X 70 to see the total dose. Multiply x by 1000 to convert to milligrams, then by 0.0024 to see how many mg of fluoride in each tube. Divide your first answer by this last answer to see how many tubes.
2006-09-26 11:55:30 · answer #3 · answered by hayharbr 7 · 0⤊ 0⤋
Ok, Na = 23.0 g/mol, F = 19.0 g/mol so a 100 gram tube of toothpaste should have (19.0/(23.0+19.0))x100g x (0.24%/100%) = 0.1086 g of F or 108.6 mg of F. Lethal dose (LD) = 75 mg/Kg x 70 Kg = 5250 mg of F is lethal to a 70 Kg adult. So 5250 mg / 108.6 mg/ 100g tube = 48.34 100 g tubes or rounded up 49 100 g tubes of tooth paste would be fatal! Hope this all makes sense. :-)
2006-09-26 11:59:11 · answer #4 · answered by moronirocks2000 2 · 0⤊ 1⤋
it would depend on the size and weight of the person ingesting the toothpaste.. it would be a good question for mythbusters
2006-09-26 11:54:11 · answer #5 · answered by chillin 2 · 1⤊ 1⤋
Alright, you TSA employee, stop eating people's toothpaste and get back to work.
2006-09-26 12:00:45 · answer #6 · answered by Niche Jerk 4 · 1⤊ 1⤋
actually spkin....
fluorine reqd is so low dat...it cud b estimated to be negligible..
but if u really wana calculate....give me a day or two
2006-09-26 11:54:11 · answer #7 · answered by shradha 1 · 0⤊ 1⤋
ghdddddhhhhhhhhhhhhhhhhhhhhh
2006-09-26 11:52:34 · answer #8 · answered by varun_ramu311 1 · 0⤊ 2⤋