   Chapter 2, Problem 24PS

Chapter
Section
Textbook Problem

Europium has two stable isotopes, 151Eu and 153Eu, with masses of 150.9197 u and 152.9212 u, respectively. Calculate the percent abundances of these isotopes of europium.

Interpretation Introduction

Interpretation:

The percent abundance of isotopes of Europium has to be determined if the one isotope (151Eu) has a mass of 150.9197u and other isotope (153Eu) has a mass of 152.9212u.

Concept Introduction:

The average weight (atomic weight) of Europium is 151.964u.

Equation for atomic weight is,

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

Explanation

There are two isotopes for Europium atom.

The mass of isotope-1 (151Eu) is 150.9197u

The mass of isotope-2 is (153Eu) is 152.9212u.

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

Therefore,

Equation for atomic weight of Europium is,

151.964=(x100)×(150.9197)+(100-x100)×(152.9212)151.964=(150.9197x100)+(15292.12-152.9212x100)151

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