The radioactive element, Thallium-201, is used medicinally as a radiotracer to study damage in heart tissue. If a patient is injected with a 0.950 g dose of pure Thallium-201, calculate the amount of time that would be required for the amount of Thallium-201 in the patient's body to reach 0.0500 g. Thallium-201 decays by a first order process with a half-life, `t_(1//2) = 73.0` hrs.

Options

A. 5.70 hrs
B. 113 hrs
C. 226 hrs
D. 310 hrs

Explanation

`((ln 2)/(t_(1//2))) t = ln""(m_(0))/(m) rArr t = (73)/(ln 2) xx ln ((0.95)/(0.05)) = 310` hr