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An element has two naturally occurring isotopes. Isotope 1 has a mass of 106 .905 amu and a relative abundance of 51 .8%, and isotope 2 has a mass of 108 .904 amu and a relative abundance of 48.2 % . Find the atomic mass of this element and, referring to the periodic table, identify it.

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Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

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Section
BuyFindarrow_forward

Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 3, Problem 40E
Textbook Problem
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An element has two naturally occurring isotopes. Isotope 1 has a mass of 106 .905 amu and a relative abundance of 51 .8%, and isotope 2 has a mass of 108 .904 amu and a relative abundance of 48.2 % . Find the atomic mass of this element and, referring to the periodic table, identify it.

Interpretation Introduction

Interpretation:

The unknown element is to be identified by calculating its atomic mass.

Concept Introduction:

 The mass of an atom is defined as its atomic mass. It is a characteristic of an element which can be a whole number or fractional and =its unit is amu.

 An element can have more than one form of atoms. These forms have different number of neutrons in the nucleus while the number of protons remains the same. These are termed as isotopes.

 As these isotopes are the atoms of the same element so the actual atomic mass is dependent on the natural abundance of the isotopes of that element

Explanation of Solution

Given information:

An element has two naturally occurring isotopes. The isotope 1 has a mass of 106.905 amu and a relative abundance of 51.8%, and isotope 2 has a mass of 108.904 amu and a relative abundance of 48.2%.

The atomic mass of an element is calculated by adding the mass of its isotopes multiplied with its natural abundance which is further divided by hundred.

The atomic mass of an unknown element using isotopes is calculated as follows:

Atomic mass=Mass of isotope×Natural abundance(%)100

Atomic mass of unknown element=(106.905 amu×51

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Chemistry In Focus
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