The amount of a sample remaining after t days is given by the equation (0) - A

20-4 ()

where A is the initial amount of the

sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope

has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?

2.0 mg

2.5 mg

5.7 mg

7.1 mg

The amount of a sample remaining after t days is given by the equation A (1 / 2) ^ (t/h)

where A is the initial amount of the

sample and h is the half-life, in days of the substance. A scientist has a 10-mg sample of a radioactive isotope. The isotope

has a half-life of 8 days After 16 days, how much of the radioactive isotope remains?

Answer: 2.5mg

Step-by-step explanation:

P (t) = A * (1/2) ^ (t/h)

Where h = half life = 8days

t = number of days = 16days

A = Initial amount of sample = 10mg

P (t) = 10 * (0.5) ^ (16/8)

P (t) = 10 * (0.5) ^2

P (t) = 10 * 0.25

P (t) = 2.5mg