Abstract
A molecular biology student is conducting experiments using radioactive adenosine triphosphate (ATP). The radioactive isotope is P32, which has a half-life of fourteen days. He has been told to complete his experiments within four weeks, before the isotope decays away. Ordinarily, the ATP is stored in a freezer at —20° C. The student believes—incorrectly—that the radioisotope will last longer if the ATP is frozen at —70° C. To test this hypothesis, he takes 1 µ1 of the ATP, containing about 10 µcuries of the P32, and puts it in the —70° freezer. He keeps the remaining 24 µl of the lab’s supply (containing roughly 240 µcuries) in the —20° C freezer. He takes daily readings of the radioactivity by counting the number of radioactive decays from each sample for one minute. After four weeks, his measurements clearly show that the —20° sample has many more counts than the —70° sample (see Figure 4.1). Since each count represents the decay of one atom of P32, the —20° sample is decaying faster than the —70° sample.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Kaplan, D., Glass, L. (1995). One-Dimensional Differential Equations. In: Understanding Nonlinear Dynamics. Texts in Applied Mathematics, vol 19. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0823-5_4
Download citation
DOI: https://doi.org/10.1007/978-1-4612-0823-5_4
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-94440-1
Online ISBN: 978-1-4612-0823-5
eBook Packages: Springer Book Archive