This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) = 29 2 (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to six decimal places m(t) = (c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.) X mg (d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.) X yr

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter30: Nuclear Physics
Section: Chapter Questions
Problem 16P
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This exercise uses the radioactive decay model.
The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample.
(a) Find a function m(t) = mo2-t/h that models the mass remaining after t years.
m(t)
1600
29 2
(b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to six decimal places
m(t) =
%3D
(c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.)
1 mg
(d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.)
X yr
Transcribed Image Text:This exercise uses the radioactive decay model. The half-life of radium-226 is 1600 years. Suppose we have a 29-mg sample. (a) Find a function m(t) = mo2-t/h that models the mass remaining after t years. m(t) 1600 29 2 (b) Find a function m(t) = moe-rt that models the mass remaining after t years. (Round your r value to six decimal places m(t) = %3D (c) How much of the sample will remain after 5000 years? (Round your answer to one decimal place.) 1 mg (d) After how many years will only 17 mg of the sample remain? (Round your answer to one decimal place.) X yr
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