The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = m02−t/h that models the mass remaining after t years. (b) Find a function m(t) = m0e−rt that models the mass remaining after t years. (Round your r value to four decimal places.) (c) How much of the sample will remain after 63 years? (Round your answer to one decimal place.)
The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample. (a) Find a function m(t) = m02−t/h that models the mass remaining after t years. (b) Find a function m(t) = m0e−rt that models the mass remaining after t years. (Round your r value to four decimal places.) (c) How much of the sample will remain after 63 years? (Round your answer to one decimal place.)
Chemistry & Chemical Reactivity
10th Edition
ISBN:9781337399074
Author:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Publisher:John C. Kotz, Paul M. Treichel, John Townsend, David Treichel
Chapter25: Nuclear Chemistry
Section25.4: Rates Of Nuclear Decay
Problem 25.5CYU
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The half-life of cesium-137 is 30 years. Suppose we have a 12-g sample.
(a) Find a function
(b) Find a function
(c) How much of the sample will remain after 63 years? (Round your answer to one decimal place.)
(d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.)
m(t) = m02−t/h that models the mass remaining after t years.
(b) Find a function
m(t) = m0e−rt
that models the mass remaining after t years. (Round your r value to four decimal places.)(d) After how many years will only 4 g of the sample remain? (Round your answer to the nearest whole number.)
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