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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.

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.

Biochemistry
Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
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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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