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