   # Which of the following is closest to the observed abundance of 71 Ga, one of two stable gallium isotopes ( 69 Ga and 71 Ga)? (a) 20% (b) 60% (c) 70% (d) 40% ### 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 2.4, Problem 2RC
Textbook Problem
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## Which of the following is closest to the observed abundance of 71Ga, one of two stable gallium isotopes (69Ga and 71Ga)? (a) 20% (b) 60% (c) 70% (d) 40%

Interpretation Introduction

Interpretation: the percent abundance of isotope 71Ga of gallium is to be identified from the given options.

Concept introduction:

The average weight (atomic weight) of gallium is 69.723 .

Equation for average weight is,

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

### Explanation of Solution

There are two isotopes for gallium atom.

The mass of isotope-1 ( 69Ga ) is 69.

The mass of isotope-2 is ( 71Ga ) is71.

Let’s take the relative abundance of 71Ga as ‘x’ and 69Ga is ‘100-x’.

Therefore,

Equation for average weight of gallium is,

69.723=(x100)×(71)+(100-x100)×(69)69.723=(71x100)+(6900-69x100)69.723=71x69x+69001006972

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