Chemistry Challenge!?
(this problem is from the Zumdahl Chem Book)
A 0.10-cm^3 sample of a solution containing a radioactive nuclide (5.0 x 10^3 counts per minute per milliliter) is injected into a rat. Several minutes later 1.0 cm^3 of blood is removed. The blood shows 48 counts per minute of radioactivity. Solve for volume of blood in the rat.
A walkthrough for this problem would be appreciated....
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Verified answer
Count in 0.10 cm3 blood would be 4.8 cpm
Original 0.10 cm3 solution has been reduced by a factor of 5000/4.8 = 1041.7
So volume of blood must be original volume of solution injected (0.10cm3) multiplied by this factor.
i.e. 1041.7 x 0.1 = 104.17cm3 blood.
This assumes radioactive nuclide's half-life is long enough not to affect the result.