65.018 My Notes Aak Your A radioactive isotope and its associated half-life are

Question

65.018 My Notes Aak Your A radioactive isotope and its associated half-life are given. Assume that it the decay constant. decays according to the formula ACO·Ager where Ao is the in tal amourofthe materal and·is Uranium 235, used for nuclear power, initial amount 8 kilograms, half-life of 704 million years Find the decay constant k. Round your answer to four decimal places k= -00009 Find a function which gives the amount of isotope A which remsins after time t. (Keep the units of A and f the same as the oven data.) A(t) = muon-een imal places. (HINT: If 90% of the material decan, Determine how long it takes for 90% of the material to decay, Round your answer to two dec million years

Explanation / Answer

A(t) = Ao e^kt

1/2 Ao = Ao e^(704000000) t

k = -0.00098

rounding off the value

k = -0.001

function is

A(t) = 8e^-0.001t

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