A person consumes 100 μg of a tracer chemical. Assume that the person is able to collect all of the tracer in their urine (and therefore measure the amount that has come out of the body), as well as the concentration in the blood, as a function of time (see table). (a) Is a first-order rate constant appropriate for describing the process of elimination via the kidneys? Justify your answer. (b) Assuming that the answer to a is “yes,” find the rate constant k and the total volume V from these data.

Principles Of Radiographic Imaging: An Art And A Science
6th Edition
ISBN:9781337711067
Author:Richard R. Carlton, Arlene M. Adler, Vesna Balac
Publisher:Richard R. Carlton, Arlene M. Adler, Vesna Balac
Chapter14: Minimizing Patient Exposure
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A person consumes 100 μg of a tracer chemical. Assume that the person is able to collect all of the tracer in their urine (and therefore measure the amount that has come out of the body), as well as the concentration in the blood, as a function of time (see table).

(a) Is a first-order rate constant appropriate for describing
the process of elimination via the kidneys? Justify your answer.
(b) Assuming that the answer to a is “yes,” find the rate constant k and the total volume V from these data.

Amount collected in
urine during the
previous hour (µg)
Concentration in the
Time (h)
blood (µg/L)
1
9.4
90
2
8.7
82
3
7.9
75
4
6.9
66
6.5
61
5.7
55
5
50
8
4.9
43
4.3
39
10
3.9
35
67
Transcribed Image Text:Amount collected in urine during the previous hour (µg) Concentration in the Time (h) blood (µg/L) 1 9.4 90 2 8.7 82 3 7.9 75 4 6.9 66 6.5 61 5.7 55 5 50 8 4.9 43 4.3 39 10 3.9 35 67
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