If a small amount of ATP labeled with radioactive phosphorus in the terminal position, $\left[y-^{32} \mathrm{P}\right] \mathrm{ATP},$ is added to a yeast extract, about half of the $^{32} \mathrm{P}$ activity is found in $\mathrm{P}_{\mathrm{i}}$ within a few minutes, but the concentration of ATP remains unchanged. Explain. If the same experiment is carried out using ATP labcled with $^{32} \mathrm{P}$ in the central position, $\left[\beta-^{32} \mathrm{P}\right] \mathrm{ATP},$ the $^{32} \mathrm{P}$ does not appear in
$\mathrm{P}_{\mathrm{i}}$ within such a short time. Why?