The isotope Carbon-14 follows the decay rule C'(t)=kC(t) where C(t) is in grams, t is in years, and k<0 is negative rate constant in units of "per year". A. The half-life of the isotope is 5730 years. Determine k. B. Given that C(0)=107 grams at the outset, what is the exact solution (formula) for C(t) over time? C. What is the rate of change of C at that point (2000,136.287)?
The isotope Carbon-14 follows the decay rule C'(t)=kC(t) where C(t) is in grams, t is in years, and k<0 is negative rate constant in units of "per year". A. The half-life of the isotope is 5730 years. Determine k. B. Given that C(0)=107 grams at the outset, what is the exact solution (formula) for C(t) over time? C. What is the rate of change of C at that point (2000,136.287)?
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
Section18.4: Rates Of Disintegration Reactions
Problem 18.5PSP
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The isotope Carbon-14 follows the decay rule C'(t)=kC(t) where C(t) is in grams, t is in years, and k<0 is negative rate constant in units of "per year".
A. The half-life of the isotope is 5730 years. Determine k.
B. Given that C(0)=107 grams at the outset, what is the exact solution (formula) for C(t) over time?
C. What is the rate of change of C at that point (2000,136.287)?
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