A person consumes 100 micrograms 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 below). 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 blood volume V from these data. c is the value of V that you determined equal to the blood volume of the person? Does this make sense to you? If not, what does V represent?

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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A person consumes 100 micrograms 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 below).
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 blood volume V from
these data.
c is the value of V that you determined equal to the blood volume of the person? Does this make
sense to you? If not, what does V represent?

Time (h)
Amount collected in urine
Concentration in
during the previous hour (ug) the blood (ug/L)
1
9.4
90
8.7
82
3
7.9
75
4
6.9
66
6.5
61
5.7
55
7
5
50
8.
4.9
43
9
4.3
39
10
3.9
35
Transcribed Image Text:Time (h) Amount collected in urine Concentration in during the previous hour (ug) the blood (ug/L) 1 9.4 90 8.7 82 3 7.9 75 4 6.9 66 6.5 61 5.7 55 7 5 50 8. 4.9 43 9 4.3 39 10 3.9 35
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