Assume thatW(t) denotes the amount of radioactive material in a substance at time t

Chapter 8, Problem 20

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Assume thatW(t) denotes the amount of radioactive material in a substance at time t. Radioactive decay is then described by the differential equation dW dt = W(t) with W(0) = W0 (8.42) where is a positive constant called the . (a) Solve (8.42). (b) Assume that W(0) = 123 gr and W(5) = 20 gr and that time is measured in minutes. Find the decay constant and determine the half-life of the radioactive substance.

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