Solve the problem.
-A certain radioactive isotope decays at a rate of $0.15 \%$ annually. Determine the half-life of this isotope, to the nearest year.
A) 333 years
B) 5 years
C) 201 years
D) 462 years

Question

Quizplus · Accepted Answer

The half-life $ t_{1/2} $ can be calculated using the formula $ t_{1/2} = \frac{\ln(2)}{r} $, where $ r $ is the decay rate expressed as a decimal. Here, $ r = 0.0015 $. Thus, $ t_{1/2} = \frac{\ln(2)}{0.0015} \approx 462 $ years.

Solve the Problem 0.15%0.15 \%0.15% Annually Determine the Half-Life of This Isotope, to the Nearest

Solve the Problem $0.15 \%$ Annually Determine the Half-Life of This Isotope, to the Nearest