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The radioactive element, Thallium-201, i...

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.

A

5.70 hrs

B

113 hrs

C

226 hrs

D

310 hrs

Text Solution

Verified by Experts

The correct Answer is:
D
`(ln_(2))/(t_(1//2)t=ln(m_(0))/(m) rarr t=(73)/(ln 2)xxln(0.95)/(0.05)=310 hr`
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