SOLUTION: Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of ti
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-> SOLUTION: Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of ti
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Question 314512: Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Use the formula N = Iekt, where N is the number of items in terms of the initial population I, at time t, and k is the growth constant equal to the percent of growth per unit of time. A certain radioactive isotope decays at a rate of 0.275% annually. Determine the half-life of this isotope, to the nearest year.
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Given the formula:
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Let x = initial amount (I)
then
N = x/2 (half-life)
k was given as -0.275% = -0.00275
.
Substitute the above and the
dividing both sides by x eliminates our variable:
take ln of both sides: years
