Concept explainers
(a)
Interpretation: The number of
Concept Introduction:
All radioactive decays show first order kinetics. This, half-life and decay constant are related to each other as follows:
Where,
k is the decay constant
(a)
Answer to Problem 14.102PAE
Solution:
Explanation of Solution
Calculating decay constant for
Now, calculate the number of decays per second in 1 mole of the
(b)
Interpretation: Energy released in a single
Concept Introduction:
The mass defect is calculated as the difference of masses of products and reactants. The energy released can be related to mass defect as follows:
Here,
Also, 1 amu = 931.7 MeV
(b)
Answer to Problem 14.102PAE
Solution:
Explanation of Solution
Calculate the mass defect as follows:
Mass Defect
Since, 1amu =931.7 MeV
Thus,
Thus, energy released will be
(c)
Interpretation:
The heat evolved in one minute by the decay of the 1 mol sample of 26Al from part (a) should be calculated.
Concept Introduction: In one mole of a substance there are
(c)
Answer to Problem 14.102PAE
Solution:
Explanation of Solution
Converting decay per second to decay per minute as follows:
In 1 mole there are
number of particles also the calculated energy released is equal to heat thus, heat evolved per minute per mole will be:
Want to see more full solutions like this?
Chapter 14 Solutions
Bundle: Chemistry for Engineering Students, Loose-Leaf Version, 4th + OWLv2 with MindTap Reader with Student Solutions Manual, 1 term (6 months) Printed Access Card
- Chemistry: Principles and PracticeChemistryISBN:9780534420123Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward MercerPublisher:Cengage LearningGeneral Chemistry - Standalone book (MindTap Cour...ChemistryISBN:9781305580343Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; DarrellPublisher:Cengage LearningPrinciples of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning
- Chemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage LearningChemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry for Engineering StudentsChemistryISBN:9781337398909Author:Lawrence S. Brown, Tom HolmePublisher:Cengage Learning