Hydrogen-3 can be used as a chemical tracer.If 2400 µg decays to 600 µg after 24.8 years,what is the half-life of the radionuclide?

Question

Quizplus · Accepted Answer

The half-life of a radionuclide is the time it takes for half of the original amount to decay. Using the given information, we can set up the following equation:

Original amount * (1/2)^(number of half-lives) = Final amount

2400 µg * (1/2)^(number of half-lives) = 600 µg

Simplifying, we get:

(1/2)^(number of half-lives) = 0.25

Taking the logarithm of both sides, we get:

number of half-lives = log(0.25) / log(1/2) = 2

Therefore, the half-life of Hydrogen-3 is 24.8 years / 2 = 12.4 years. The correct choice is B.

Hydrogen-3 Can Be Used as a Chemical Tracer