Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c) = -kt. The table below includes data from the two sites: http://dailymed.nlm.nih.gov/dailymed/druginfo.cfm?id=7130 http://wiki.medpedia.com/Clinical: Neutrospec_(Technetium_(99m Tc)_fanolesomab). a. b. C. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. When half of the original amount of starting material has hours fraction remaining disappeared, c/c = ½ and the equation In(c/c.) = -kt becomes In(0.5) = -kt1/2 where t₁₂ is the half life (the time for half of the material to decay away). Determine the slope of your In(c/c.) vs t graph and calculate the half life of technetium-99m. Compare your value to a literature or Internet value for the half life. Name some of the medical tests that utilize technetium-99m. Explain why technetium-99m is used for these applications. 1.000 0.891 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 0.316 11 0.282 0.251 0.13 0123456789028
Technetium is the first element in the periodic chart that does not have any stable isotopes. Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half life ideally suited for medical tests. It would seem that the decay of technetium should fit the treatment above with the result In(c/c) = -kt. The table below includes data from the two sites: http://dailymed.nlm.nih.gov/dailymed/druginfo.cfm?id=7130 http://wiki.medpedia.com/Clinical: Neutrospec_(Technetium_(99m Tc)_fanolesomab). a. b. C. Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also graph In(c/c.) on the vertical axis versus time on the horizontal axis. When half of the original amount of starting material has hours fraction remaining disappeared, c/c = ½ and the equation In(c/c.) = -kt becomes In(0.5) = -kt1/2 where t₁₂ is the half life (the time for half of the material to decay away). Determine the slope of your In(c/c.) vs t graph and calculate the half life of technetium-99m. Compare your value to a literature or Internet value for the half life. Name some of the medical tests that utilize technetium-99m. Explain why technetium-99m is used for these applications. 1.000 0.891 0.794 0.708 0.631 0.562 0.501 0.447 0.398 0.355 0.316 11 0.282 0.251 0.13 0123456789028
Introductory Chemistry: An Active Learning Approach
6th Edition
ISBN:9781305079250
Author:Mark S. Cracolice, Ed Peters
Publisher:Mark S. Cracolice, Ed Peters
Chapter20: Nuclear Chemistry
Section: Chapter Questions
Problem 65E
Related questions
Question
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Transcribed Image Text:Technetium is the first element in the periodic chart that does not have any stable isotopes.
Technetium-99m is an especially interesting and valuable isotope as it emits a gamma ray with a half
life ideally suited for medical tests. It would seem that the decay of technetium should fit the
treatment above with the result In(c/c) = -kt. The table below includes data from the two sites:
http://dailymed.nlm.nih.gov/dailymed/druginfo.cfm?id=7130
http://wiki.medpedia.com/Clinical: Neutrospec_(Technetium_(99m Tc)_fanolesomab).
a.
b.
C.
Graph the fraction (c/c.) on the vertical axis versus the time on the horizontal axis. Also
graph In(c/c.) on the vertical axis versus time on the horizontal axis.
When half of the original amount of starting material has hours fraction remaining
disappeared, c/c = ½ and the equation In(c/c.) = -kt becomes
In(0.5) = -kt1/2 where t₁₂ is the half life (the time for half of the
material to decay away). Determine the slope of your In(c/c.) vs
t graph and calculate the half life of technetium-99m. Compare
your value to a literature or Internet value for the half life.
Name some of the medical tests that utilize technetium-99m.
Explain why technetium-99m is used for these applications.
1.000
0.891
0.794
0.708
0.631
0.562
0.501
0.447
0.398
0.355
0.316
11
0.282
0.251
0.13
0123456789028
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