Given:
Half life of Thallium-201 (T1/2)= 73 hrs
Initial amount of thallium (A₀) = 4.0 mg
Disintegration Time period (t) = 5.0 hrs
To determine:
Amount of thallium remaining, A
Explanation:
The radioactive half-life (T1/2) can be related to the amounts of the radio active element through the relation:
A = [tex]A_{0} e^{-0.693t/T1/2}[/tex]
A = 4.0 * [tex]e^{-0.693*5/73}[/tex] = 3.815 mg
Ans: Amount of thallium-201 remaining is 3.815 mg