Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope phosphorus-32, k is 1 4.85 x 10 2 days. If the original amount of phosphorus-32 in a sample is 64.7 mg, how much time is needed for the amount of phosphorus-32 that remains to fall to 41.5 mg? days
Radioactive decay can be described by the following equation In A = In Ao – kt where Ao is the original amount of the substance, A is the amount of the substance remaining after time t, and k is a constant that is characteristic of the substance. For the radioactive isotope phosphorus-32, k is 1 4.85 x 10 2 days. If the original amount of phosphorus-32 in a sample is 64.7 mg, how much time is needed for the amount of phosphorus-32 that remains to fall to 41.5 mg? days
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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Transcribed Image Text:Radioactive decay can be described by the following equation
In A = In Ao – kt
where
Ao is the original amount of the substance,
A is the amount of the substance remaining after time
t, and
k is a constant that is characteristic of the substance.
For the radioactive isotope phosphorus-32,
k is
1
4.85 x 10 2 days.
If the original amount of phosphorus-32 in a sample is 64.7 mg, how much time is needed
for the amount of phosphorus-32 that remains to fall to 41.5 mg?
days
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