Concept explainers
Interpretation:
The nuclear binding energy and the nuclear binding energyper nucleon, in joules, for a given nucleus is to be determined.
Concept Introduction:
The nuclear binding energy is calculated by using the relation represented as follows:
Here,
The mass defect is defined as the difference between the given mass and the predicted mass. Thus, the formula of mass defect is as follows:
Here,
Answer to Problem 20QP
Solution:
Explanation of Solution
a)
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation as follows:.
Substitute
The value of mass defect is converted into Kg by using the relation represented as follows:.
The nuclear binding energy is calculated by the relation as follows:
Substitute
The magnitude of binding energy is considered.
Now, the nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of protons and neutrons.
Thus,
Substitute
Therefore, nuclear binding energy per nucleon is
b)
In the given nucleus,
The mass of
The predicted mass of
The mass defect is calculated by using the relation as follows:
Substitute
The value of massdefect is converted into Kg by using the relation:
The nuclear binding energy is calculated by the relation as follows:
Substitute
The magnitude of binding energy is considered.
Now, the nuclear binding energy per nucleon is calculated as follows:
The number of nucleons is defined as the sum of protons and neutrons.
Thus,
Substitute
Therefore, the nuclear binding energy per nucleon is
Want to see more full solutions like this?
Chapter 20 Solutions
Chemistry
- A sample of rock was found to contain 8.23 mg of rubidium-87 and 0.47 mg of strontium-87.. (a) Calculate the age of the rock if the half-life of the decay of rubidium by emission is 4.71010 y. (b) If some S3887r was initially present in the rock, would the rock be younger, older, or the same age as the age calculated in (a)? Explain your answer.arrow_forwardWrite the balanced nuclear equation for the production of the following transuranium elements: (a) berkelium-244, made by the reaction of Am-241 and He-4. (b) fermiurn-254, made by the reaction of Pu-239 with a large number of neutrons. (c) lawrencium-257, made by the reaction of Cf-250 and B-11. (d) dubnium-260, made by the reaction of Cf-249 and N-15arrow_forwardPlutonium was detected in trace amounts in natural uranium deposits by Glenn Seaborg and his associates in 1941. They proposed that the source of this 239Pu was the capture of neutrons by 238U nuclei. Why is this plutonium not likely to have been trapped at the time the solar system formed 4.7109 years ago?arrow_forward
- Chemistry: The Molecular ScienceChemistryISBN:9781285199047Author:John W. Moore, Conrad L. StanitskiPublisher:Cengage LearningChemistry: Matter and ChangeChemistryISBN:9780078746376Author:Dinah Zike, Laurel Dingrando, Nicholas Hainen, Cheryl WistromPublisher:Glencoe/McGraw-Hill School Pub CoChemistry & Chemical ReactivityChemistryISBN:9781337399074Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage Learning
- Chemistry & Chemical ReactivityChemistryISBN:9781133949640Author:John C. Kotz, Paul M. Treichel, John Townsend, David TreichelPublisher:Cengage LearningWorld of Chemistry, 3rd editionChemistryISBN:9781133109655Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCostePublisher:Brooks / Cole / Cengage LearningChemistry: Principles and ReactionsChemistryISBN:9781305079373Author:William L. Masterton, Cecile N. HurleyPublisher:Cengage Learning