   Chapter 25, Problem 73SCQ

Chapter
Section
Textbook Problem

The principle underlying the isotope dilution method of analysis can he applied to many kinds of problems. Suppose that you, a marine biologist, want to estimate the number of fish in a lake. You release 1000 tagged fish, and after allowing an adequate amount of time for the fish to disperse evenly in the lake, you catch 5250 fish and find that 27 of them have tags. Now many fish are in the lake?

Interpretation Introduction

Interpretation: To calculate the total number of fish in the lake.

Concept introduction:

The isotope dilution method is given as:

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

Explanation

Given that 27 tagged fish out of 5250 fish caught

Total number of tagged fish is 1000

Percentage of tagged fish is calculated

275250=0.51%

It implies that 0.51% of the fish in the lake is tagged.

Therefore,

Total number of fish in the lake is given as:

1000Totalnumberoffish×100%=0

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