Assume that each decays according to the formula A(tA where Ao is the initial am

Question

Assume that each decays according to the formula A(tA where Ao is the initial amount of the material and k is the decay constant. Cobalt-60, used in food irradiation has a half-life of 5.231 years. If there is initially 58 grams present, find the following. (a) The decay constant, k. Round your answer to four decimal places. Submit Answer Tries 0/99 (b) Find a function A(t) for the amount of the isotope, A in grams which remains after time t in years. A(1) = Submit Answer Tries 0/99 (c) Determine the time t in years for 60% of the material to decay. Round yours answer to two decimal places. years Submit Answer Tries 0/99

Explanation / Answer

A(t)=A0ekt

a.(1/2) =e5.231k

ln(1/2) =5.231k

k=-0.1325

A(t)=58 e-0.1325t

c.0.4= e-0.1325t

ln0.4=-0.1325t

t=6.92 years

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