Chemistry: Matter and Change
Chemistry: Matter and Change
1st Edition
ISBN: 9780078746376
Author: Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl Wistrom
Publisher: Glencoe/McGraw-Hill School Pub Co
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 4, Problem 128A
Interpretation Introduction

Interpretation: The isotope to which the average atomic mass of zirconium is closest needs to be determined.

Concept introduction:

The isotope contains a different number of neutrons and the same number of protons. So, the atomic mass of the isotope is different. The calculation of the atomic mass of elements is termed as the average atomic mass.

  Averageatomicmass=(massofisotope×relativeabundance)

Expert Solution & Answer
Check Mark

Answer to Problem 128A

The calculated average atomic mass of zirconium =90.93 is closest to the isotope zirconium 90 .

Explanation of Solution

The given table is:

    The Relative abundance of zirconium isotopes
    Element Mass (amu)Abundance (%)
    Zirconium-90 89.905 51.45
    Zirconium-91 90.906 11.22
    Zirconium-92 91.905 17.15
    Zirconium-94 93.906 17.38
    Zirconium-96 95.908 2.8

For the calculation of the average atomic mass of zirconium, the mass and abundance are taken from the given table.

Where m = mass of each isotope and the abundance value is given in percentage form so fraction value is used for the calculation.

The average atomic mass can be calculated as follows:

  A=(mZr90×abandance)+(mZr91×abundance)+(mZr92×abundance)

   +(mZr94×abundance)+(mZr96×abundance)

Putting the values,

  A=(89.90×.514)+(90.90×0.112)+(91.90×.171)+(93.90×.173)+(95.90×.028)

   =46.20+10.18+15.71+16.24+2.6

   =90.93

With respect to the relative abundances of each isotope, the zirconium-90 is going to be the closest.

Conclusion

The value of the average atomic mass of the zirconium is calculated from the given atomic mass and their abundance of zirconium isotopes.

Chapter 4 Solutions

Chemistry: Matter and Change

Ch. 4.2 - Prob. 11SSCCh. 4.3 - Prob. 12PPCh. 4.3 - Prob. 13PPCh. 4.3 - Prob. 14PPCh. 4.3 - Prob. 15PPCh. 4.3 - Prob. 16PPCh. 4.3 - Prob. 17PPCh. 4.3 - Prob. 18PPCh. 4.3 - Prob. 19PPCh. 4.3 - Prob. 20SSCCh. 4.3 - Prob. 21SSCCh. 4.3 - Prob. 22SSCCh. 4.3 - Prob. 23SSCCh. 4.3 - Prob. 24SSCCh. 4.4 - Prob. 25SSCCh. 4.4 - Prob. 26SSCCh. 4.4 - Prob. 27SSCCh. 4.4 - Prob. 28SSCCh. 4.4 - Prob. 29SSCCh. 4 - Prob. 30ACh. 4 - Whose work is credited with being the beginning of...Ch. 4 - Prob. 32ACh. 4 - Prob. 33ACh. 4 - Prob. 34ACh. 4 - Prob. 35ACh. 4 - State the main points of Dalton’s atomic theory...Ch. 4 - Prob. 37ACh. 4 - Prob. 38ACh. 4 - What particles are found in the nucleus of an...Ch. 4 - How was the overall charge distributed in the plum...Ch. 4 - How did the charge distribution in the plum...Ch. 4 - Label the subatomic particles shown in Figure...Ch. 4 - Arrange the following subatomic particles in order...Ch. 4 - Explain why atoms are electrically neutral.Ch. 4 - What is the charge of the nucleus of element 89?Ch. 4 - Which particles account for most of an atom’s...Ch. 4 - Prob. 47ACh. 4 - Prob. 48ACh. 4 - Prob. 49ACh. 4 - Prob. 50ACh. 4 - Prob. 51ACh. 4 - Prob. 52ACh. 4 - Prob. 53ACh. 4 - Prob. 54ACh. 4 - Prob. 55ACh. 4 - Prob. 56ACh. 4 - Prob. 57ACh. 4 - How do isotopes of a given element differ? How are...Ch. 4 - How is an atom’s atomic number related to its...Ch. 4 - How is the mass number related to the number of...Ch. 4 - How can you determine the number of neutrons in an...Ch. 4 - Prob. 62ACh. 4 - Standard Units Define the atomic mass unit. What...Ch. 4 - Prob. 64ACh. 4 - Prob. 65ACh. 4 - How many protons and electrons are contained in an...Ch. 4 - Carbon A carbon atom has a mass number of 12 and...Ch. 4 - Mercury An isotope of mercury has 80 protons and...Ch. 4 - Xenon An isotope of xenon has an atomic number of...Ch. 4 - If an atom has 18 electrons, how many protons does...Ch. 4 - Sulfur Show that the atomic mass of the element...Ch. 4 - Prob. 72ACh. 4 - How many electrons, protons, and neutrons...Ch. 4 - How many electrons, protons, and neutrons are...Ch. 4 - Prob. 75ACh. 4 - Prob. 76ACh. 4 - Prob. 77ACh. 4 - Prob. 78ACh. 4 - Prob. 79ACh. 4 - Prob. 80ACh. 4 - Prob. 81ACh. 4 - Prob. 82ACh. 4 - Prob. 83ACh. 4 - Prob. 84ACh. 4 - Prob. 85ACh. 4 - Prob. 86ACh. 4 - Prob. 87ACh. 4 - Prob. 88ACh. 4 - Prob. 89ACh. 4 - Prob. 90ACh. 4 - Prob. 91ACh. 4 - Prob. 92ACh. 4 - Prob. 93ACh. 4 - Prob. 94ACh. 4 - Prob. 95ACh. 4 - Prob. 96ACh. 4 - Prob. 97ACh. 4 - Prob. 98ACh. 4 - Prob. 99ACh. 4 - Prob. 100ACh. 4 - Prob. 101ACh. 4 - Prob. 102ACh. 4 - Prob. 103ACh. 4 - Prob. 104ACh. 4 - Prob. 105ACh. 4 - Prob. 106ACh. 4 - Prob. 107ACh. 4 - Prob. 108ACh. 4 - Prob. 109ACh. 4 - Prob. 110ACh. 4 - Prob. 111ACh. 4 - Prob. 112ACh. 4 - Prob. 113ACh. 4 - Prob. 114ACh. 4 - Prob. 115ACh. 4 - Prob. 116ACh. 4 - Prob. 117ACh. 4 - Prob. 118ACh. 4 - Prob. 120ACh. 4 - Prob. 121ACh. 4 - Prob. 122ACh. 4 - Prob. 123ACh. 4 - Prob. 124ACh. 4 - Prob. 125ACh. 4 - Prob. 126ACh. 4 - Prob. 127ACh. 4 - Prob. 128ACh. 4 - Prob. 129ACh. 4 - Prob. 1STPCh. 4 - Prob. 2STPCh. 4 - Prob. 3STPCh. 4 - Prob. 4STPCh. 4 - Prob. 5STPCh. 4 - Prob. 6STPCh. 4 - Prob. 7STPCh. 4 - Prob. 8STPCh. 4 - Prob. 9STPCh. 4 - Prob. 10STPCh. 4 - Prob. 11STPCh. 4 - Prob. 12STPCh. 4 - Prob. 13STPCh. 4 - Prob. 14STPCh. 4 - Prob. 15STPCh. 4 - Prob. 16STPCh. 4 - Prob. 17STPCh. 4 - Prob. 18STPCh. 4 - Prob. 19STPCh. 4 - Prob. 20STPCh. 4 - Prob. 21STP
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781259911156
Author:Raymond Chang Dr., Jason Overby Professor
Publisher:McGraw-Hill Education
Text book image
Principles of Instrumental Analysis
Chemistry
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Cengage Learning
Text book image
Organic Chemistry
Chemistry
ISBN:9780078021558
Author:Janice Gorzynski Smith Dr.
Publisher:McGraw-Hill Education
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
Elementary Principles of Chemical Processes, Bind...
Chemistry
ISBN:9781118431221
Author:Richard M. Felder, Ronald W. Rousseau, Lisa G. Bullard
Publisher:WILEY
The Bohr Model of the atom and Atomic Emission Spectra: Atomic Structure tutorial | Crash Chemistry; Author: Crash Chemistry Academy;https://www.youtube.com/watch?v=apuWi_Fbtys;License: Standard YouTube License, CC-BY