   Chapter 25, Problem 40PS

Chapter
Section
Textbook Problem

Gold-198 is used in the diagnosis of liver problems. The half-life of 198Au is 2.69 days. If you begin with 2.8 μg of this gold isotope, what mass remains after 10.8 days?

Interpretation Introduction

Interpretation: To calculate the remaining mass of 198Au after 10.8 days.

Concept introduction:

Half–life period: It is the time required for the reactant (substrate) concentration to reduce to the one-half of its initial concentration.

Explanation

Given information is as follows:

The half-life 198Au is 2.69 days.

The initial concentration of gold isotope is 2.8μg.

10.8 days equals to 4 half lives

Therefore the amount of Au remaining is (1/2)4=1/16 of the original amount.

The remaining mass of 198Au after 10

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