   # Thallium has two stable isotopes, 203 TIand 205 Tl. Knowing that the atomic weight of thallium is 204.4, which isotope is the more abundant of the two? ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2, Problem 19PS
Textbook Problem
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## Thallium has two stable isotopes, 203TIand 205Tl. Knowing that the atomic weight of thallium is 204.4, which isotope is the more abundant of the two?

Interpretation Introduction

Interpretation:

The most abundant isotope of Thallium has to be determined if the one isotope (203Tl) has a mass of 203 and other isotope (205Tl) has a mass of 205.

Concept Introduction:

The average weight (atomic weight) of Thallium is 204.4.

Equation for average weight is,

average weight=(%abundanceisotop-1100)×(massofisotop-1) +(%abundanceisotop-2100)×(massofisotop-2)+etc

### Explanation of Solution

There are two isotopes for Thallium atom.

The mass of isotope-1 (203Tl) is 203

The mass of isotope-2 is (205Tl) is 205.

Let’s take the relative abundance of 203Tl as ‘x’ and 205Tl is ‘100-x’.

Therefore,

Equation for average weight of Thallium is,

204.4=(x100)×(203)+(100-x100)×(205)204.4=(203x100)+(20500-205x100)204

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