A 0 . 2 mL sample of a solution containing 1.0 × 10 - 7 curie of 1 H 3 is injected to the bloodstream of an animal. After sufficient time for circulatory equilibrium to be established, 0 . 10 mL of bl

Question

A 0 . 2 mL sample of a solution containing 1.0 × 10 - 7 curie of 1 H 3 is injected to the bloodstream of an animal. After sufficient time for circulatory equilibrium to be established, 0 . 10 mL of blood is found to have an activity of 20 dpm . Calculate the volume of blood in animal, assuming no change in the activity of the sample during circulatory equilibrium.

TestHub · Accepted Answer

Let the volume of blood is V mL . Thus total volume = V + 0 . 2 mL after injection of sample 1.1 mL sample has rate = 20 60 d p s ∴ V + 0.2 m L s a m p l e h a s r a t e = 20 × V + 0.2 60 × 0.1 d p s Since the rate is constant, thus 20 × V + 0.2 60 × 0.1 = 1.0 × 10 - 7 × 3.7 × 10 10 d p s V = 1110 mL

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