A small quantity of solution containing $$Na24$$ radio nuclide of activity $$1$$ microcurie is injected into the blood of a person. A sample of the blood of volume $$1$$ $$cm3$$ taken after $$5$$ hours shows an activity of $$296$$ disintegration per minute. What will be the total volume of the blood in the body of the person. Assume that the radioactive solution mixes uniformly in the blood of the $$person(Take$$ $$1$$ curie $$=$$ $$3.7$$ x $$1010$$ disintegration per second and $$e-$$λ $$=0.7927$$; where λ $$=$$ disintegration $$constant)$$

Question

A small quantity of solution containing $$Na24$$ radio nuclide of activity $$1$$ microcurie is injected into the blood of a person. A sample of the blood of volume $$1$$ $$cm3$$ taken after $$5$$ hours shows an activity of $$296$$ disintegration per minute. What will be the total volume of the blood in the body of the person. Assume that the radioactive solution mixes uniformly in the blood of the $$person(Take$$ $$1$$ curie $$=$$ $$3.7$$ x $$1010$$ disintegration per second and $$e-$$λ $$=0.7927$$; where λ $$=$$ disintegration $$constant)$$

Infinity Learn · Accepted Answer

$$R0$$ $$=$$ Initial activity $$=$$ $$1$$ micro curie $$=$$ $$3.7$$ x $$104$$ d psr $$=$$ Activity in $$1$$ $$cm3$$ of blood at t $$=$$ $$5$$ hrsR $$=$$ Activity of whole blood at time t $$=$$ $$5$$ hr,

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