The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample. (a) Find a function m(t) = m02−t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = m0e−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 3500 years? (Round your answer to one decimal place.) mg
The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample. (a) Find a function m(t) = m02−t/h that models the mass remaining after t years. m(t) = (b) Find a function m(t) = m0e−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 3500 years? (Round your answer to one decimal place.) mg
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter18: Nuclear Chemistry
Section18.8: Nuclear Radiation: Effects And Units
Problem 18.13E
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This exercise uses the radioactive decay model.
The half-life of radium-226 is 1600 years. Suppose we have a 27-mg sample.
(a) Find a function
(b) Find a function
(c) How much of the sample will remain after 3500 years? (Round your answer to one decimal place.)
mg
(d) After how many years will only 16 mg of the sample remain? (Round your answer to one decimal place.)
yr
m(t) = m02−t/h
that models the mass remaining after t years.m(t) =
(b) Find a function
m(t) = m0e−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 3500 years? (Round your answer to one decimal place.)
mg
(d) After how many years will only 16 mg of the sample remain? (Round your answer to one decimal place.)
yr
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