Problem 6.225

A small amount of solution containing Na $^{24}$ radionuclide with activity $A=2.0 \cdot 10^{3}$ disintegrations per second was injected in the bloodstream of a man. The activity of $1 \mathrm{~cm}^{3}$ of blood sample taken $t=5.0$ hours later turned out to be $A^{\prime}=16$ disintegrations per minute per $\mathrm{cm}^{3}$. The half-life of the radionuclide is $T=15$ hours. Find the volume of the man's blood.