What is the half-life of a radioisotope if a 12.0 g sample decays to 3.00 g in 13.0 days?

Question

Quizplus · Accepted Answer

The half-life of a radioisotope is the time it takes for half of a sample to decay. To find the half-life, we can use the following equation:

N = N0 (1/2)^(t/h)

Where N is the final amount, N0 is the initial amount, t is the time, and h is the half-life.

In this case, we know that N0 = 12.0 g, N = 3.00 g, and t = 13.0 days. We can rearrange the equation to solve for h:

h = t / log2(N0/N)

h = 13.0 days / log2(12.0 g/3.00 g)

h = 6.50 days

Therefore, the half-life of the radioisotope is 6.50 days, which corresponds to choice B.

What Is the Half-Life of a Radioisotope If a 12