   Chapter 25, Problem 70IL

Chapter
Section
Textbook Problem

To measure the volume of the blood system of an animal, the following experiment was done. A 1.0-mL sample of an aqueous solution containing tritium, with an activity of 2.0 × 106 dps, was injected into the animal's bloodstream. After time was allowed for complete circulatory mixing, a 1.0-mL blood sample was withdrawn and found to have an activity of 1.5 × 104 dps. What was the volume of the circulatory system? (The half-life of tritium is 12.3 years, so this experiment assumes that only a negligible amount of tritium has decayed in the time of the experiment.)

Interpretation Introduction

Interpretation: To measure the volume of the circulatory system.

Concept introduction:

The isotope dilution method is given as:

Vdil×Cdil=Ccon×Vconwhere,V=VolumeC=Activity

Explanation

Given information is given below:

Activity of injected sample is 2.0×106dps.

Injected volume of sample to the blood stream is 1.0ml.

Final activity of the blood stream is 1.5×104dps.

Withdrawn sample (in volume) is 1.0ml .

The volume of circulatory system can be calculated following formula

Vdil×Cdil=Ccon<

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