blem 4 Cesium 137 is an isotope of cesium that is a common product of fission in a nuclear reactor The rate of change in the

Question

blem 4 Cesium 137 is an isotope of cesium that is a common product of fission in a nuclear reactor The rate of change in the amount of any radioactive substance is proportional to the amount present Let C denote the amount of cesium 137 remaining in spent nuclear fuel rods after t years a Using r for the proportionality constant write an equation of change for C b Solve the equation from part a Use Co for the initial value c The half life of cesium 137 is 30 14 years Use this information to find the value of the proportion ality constant r from parts a and b Give the exact value and then round it to three decimal places d How long does it take for the amount of cesium 137 to decay to one tenth of the initial amount Round your answer to the nearest year

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