Question

This exercise uses the radioactive decay model. If 250 mg of a radioactive element decays to 190 mg in 60 hours, find the half-life of the element. (Round your answer to the nearest whole number.) ___ hr

Answer 1

The half-life of the given radioactive element is approximately 92 hours.

Step-by-step explanation:

The half-life of a radioactive element refers to the time it takes for half of the radioactive atoms in a sample to decay. To find the half-life of the given radioactive element, we can use the formula:

Half-life = (Time * ln(2))/ln(initial mass/final mass)

Using the given information, we have:

Time = 60 hours, initial mass = 250 mg, final mass = 190 mg

Substituting these values into the formula, we get:

Half-life = (60 * ln(2))/ln(250/190) ≈ 92 hours

Therefore, the half-life of the element is approximately 92 hours.