A 4.00 gram sample of a radionuclide at room temperature has a half-life of 91.3 days. How much of the sample remains after 365 days?

Question

Quizplus · Accepted Answer

The amount of radionuclide remaining after a given time can be calculated using the formula for exponential decay, which is $A = A_0 \times (1/2)^{t/T}$, where $A$ is the amount remaining, $A_0$ is the initial amount, $t$ is the time elapsed, and $T$ is the half-life. Plugging in the given values: $4.00 \times (1/2)^{365/91.3} \approx 0.250$ grams.

A 400 Gram Sample of a Radionuclide at Room Temperature Has