Question

Flourine - 18 is radioactive version of glucose and is used in PET Scanning. The half-life of floorine - 18 is 112 minutes. It 100 milligrams of fluorine 10 is injected into a patient, how much will remain after 240 minutes?

Answer 1

standard form of a radioactivity model to find remaning amount after t minutes is

$\LARGE A= A_0*e^{\frac{-ln(2)*t}{half\;life}}$

here A₀ is initial value.

here initial value is 100 milligram and half life is 112 . so amount after 240 minutes is

-In(2)*240 A = 100 * e 112 = 22.64309 = 22.643

so amount after 240 minutes is 22.643 milligram