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Assume you have ingested an entire tube of toothpaste, which contained exactly 1

ID: 517264 • Letter: A

Question

Assume you have ingested an entire tube of toothpaste, which contained exactly 100mL (approx. 3.4 oz) and 1000pm of fluoride. All of this fluoride enters your circulatory system, which has 5 L of blood. For the purpose of this calculation, consider only water-bound and fluoride-bound hemoglobin as present in the system; assume that oxygen will bind to whatever water-bound hemoglobin remains after fluoride has bound, and take the concentration of fluoride in the blood to be constant. Under these conditions and before oxygen enters into the equilibria, what is the ratio of fluoride-bound to water-bound hemoglobin in your blood?

Calculated Keq = -431.81 M-

Explanation / Answer

Solution:

The computation are expressed below,

Total blood oxygen content = amount dissolved in plasma + amount bound to haemoglobin

Hb + O2 <---> HbO2

at normal condition RBC carries 197 ml O2 / L of blood

total arterial O2 carrying capacity - 3 ml dissolved O2 / L blood + (197 ml HbO2 / L blood) = 200 ml O2 / L blood

for 5 L blood it is of 1000 ml O2

Concentration of O2 in blood is ( 200 /36) / 1 L = 5.55 M (normal condition)

Fluoride concentration in blood (after consuming paste) = 1000 ppm = 1000 mg/L = 1 g/L = (1/18.9984) / L = 0.052M

rate of fluoride bound is (0.052 / 5.55) * 100% = 0.93 %

Hence the consumption fluoride of 1000 ppm is having minor health hazard in adults but severe in toddler case.

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