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Radioactive decay A breeder reactor converts stable uranium-238 into the isotope plutonium-239. The decay of this isotope is given by
(a) At what rate is A(t) decaying at t = 24,101 years?
(b) At what rate is A(t) decaying after 1 year?
(c) Is the rate of decay at its half-life greater or less than after 1 year?
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Chapter 11 Solutions
MATHMATICAL APPLICATIONS FOR THE MANAGEM
- Half-Life The half-life of plutonium-241 is approximately 13 years. How much of a sample weighing 4 g will remain after 100 years? How much time is necessary for a sample weighing 4 g to decay to 0.1 g?arrow_forwardIn the exponential growth or decay function y=y0ekt, what does y0 represent? What does k represent?arrow_forwardRadioactive decay Uranium-234 has a half-life of 2.7x105 Years. (a)Find the amount remaining from a 10-mg sample after a thousand years. (b)How long will it take this sample to decompose until its mass is 7 mg?arrow_forward
- Cesium-137 has a half-life of about 30 years. If we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?arrow_forwardTracer Dye The amount of a tracer dye injected into the blood stream decrease exponentially, with a decay constant of 3 per minute. If 6 cc are present initially, how many cubic centimeters are present after 10 minutes? Here k will be negative.arrow_forwardThe half-life of radioactive actinium ( 227AC ) is 21.77 years. What percent of a present amount of radioactive actinium will remain after 19 years?arrow_forward
- Suppose that the initial mass of radioactive substance is m0 and the half-life of the substance is h. Let m(t) be the mass remaining at time t. a What is meant by the half-life h? b Write a formula for m(t) in terms of the half-life h. c Write a formula for the relative decay rate r in terms of the half-life h. d Write a formula for m(t) in terms of the relative decay rate r.arrow_forwardRadioactive Decay A sample of bismuth-210 decayed to 33 of its original mass after 8 days. a Find the half-life of this element. b Find the mass remaining after 12 days.arrow_forward
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