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.