The half - life of radium-224 is 3.5 days .what fraction of the sample remain undecaye after fourteen days

1 answer

We can use the formula for half-life to calculate the fraction of a sample that remains after a certain amount of time:

fraction remaining = (1/2)^(time/half-life)

In this case, the time is 14 days and the half-life is 3.5 days, so we can plug in and simplify:

fraction remaining = (1/2)^(14/3.5)
fraction remaining = (1/2)^4
fraction remaining = 1/16

Therefore, after 14 days, only 1/16th or 0.0625 of the original sample of radium-224 remains undecayed.