COLLEGE PHYSICS,VOLUME 1
2nd Edition
ISBN: 9781319115104
Author: Freedman
Publisher: MAC HIGHER
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Question
Chapter 27, Problem 35QAP
To determine
(a)
The binding energy per nucleon for the given isotopes of the five least massive elements.
Expert Solution
Explanation of Solution
| Isotope | Mass (u) | Binding Energy (MeV) | BE/nucleon (MeV/nucleon) |
| hydrogen-1 | 1.007825 | 0.000000 | 0.000000 |
| hydrogen-2 | 2.014102 | 2.224408 | 1.112204 |
| hydrogen-3 | 3.016049 | 8.482184 | 2.827395 |
| helium-3 | 3.016029 | 7.718359 | 2.572786 |
| helium-4 | 4.002602 | 28.296925 | 7.074231 |
| helium-6 | 6.018886 | 29.271267 | 4.878545 |
| helium-8 | 8.033922 | 31.408115 | 3.926014 |
| lithium-6 | 6.015121 | 31.995887 | 5.332648 |
| lithium-7 | 7.016003 | 39.245705 | 5.606529 |
| lithium-8 | 8.022486 | 41.278225 | 41.278225 |
| lithium-9 | 9.026789 | 45.341402 | 5.037934 |
| lithium-11 | 11.043897 | 45.548194 | 45.548194 |
| beryllium-7 | 7.016928 | 7.016928 | 5.371660 |
| beryllium-9 | 9.012174 | 58.172732 | 6.463637 |
| beryllium-10 | 10.013534 | 64.977295 | 6.497730 |
| beryllium-11 | 11.021657 | 65.482165 | 5.952924 |
| beryllium-12 | 12.026921 | 68.650176 | 5.720848 |
| beryllium-14 | 14.024866 | 86.707187 | 6.193371 |
| boron-8 | 8.024605 | 37.739479 | 4.717435 |
| boron-10 | 10.012936 | 64.751874 | 6.475187 |
| boron-11 | 11.009305 | 76.205524 | 6.927775 |
| boron-12 | 12.014352 | 79.575669 | 6.631306 |
| boron-13 | 13.017780 | 84.453904 | 6.496454 |
| boron-14 | 14.025404 | 85.423589 | 6.101685 |
| boron-15 | 15.031100 | 88.189194 | 5.879280 |
Conclusion:
The binding energy per nucleon for the given isotopes of the five least massive elements is shown in the above table.
To determine
(b)
The binding energy per nucleon of the given isotopes of the five most massive naturally occurring elements.
Expert Solution
Explanation of Solution
| Isotope | Mass (u) | Binding Energy (MeV) | BE/nucleon (MeV/nucleon) |
| radium-221 | 221.01391 | 1701.965290 | 7.701200 |
| radium-223 | 223.018499 | 1713.833455 | 7.685352 |
| radium-224 | 224.020187 | 224.020187 | 7.680056 |
| radium-226 | 226.025402 | 1731.617538 | 7.662025 |
| radium-228 | 228.031064 | 1742.486210 | 7.642483 |
| actinium-227 | 227.027749 | 1736.720262 | 7.650750 |
| actinium-228 | 228.031015 | 1741.749398 | 7.639252 |
| thorium-227 | 227.027701 | 1735.982519 | 7.647500 |
| thorium-228 | 228.028716 | 1743.108448 | 7.645212 |
| thorium-229 | 229.031757 | 1748.347170 | 7.634704 |
| thorium-230 | 230.033127 | 1755.142419 | 7.631054 |
| thorium-231 | 231.036299 | 1760.259116 | 7.620169 |
| thorium-232 | 232.038051 | 1766.698534 | 7.615080 |
| thorium-234 | 234.043593 | 1777.678985 | 7.596919 |
| protactinium-231 | 231.035880 | 1759.866957 | 7.618472 |
| protactinium-234 | 234.043300 | 1777.169458 | 7.594741 |
| uranium-231 | 231.036264 | 1758.726808 | 7.613536 |
| uranium-232 | 232.037131 | 1765.990598 | 7.612028 |
| uranium-233 | 233.039630 | 1771.734190 | 7.604009 |
| uranium-234 | 234.040946 | 1778.579740 | 7.600768 |
| uranium-235 | 235.043924 | 1783.877146 | 7.590967 |
| uranium-236 | 236.045562 | 1790.422754 | 7.586537 |
| uranium-238 | 238.050784 | 1801.701284 | 7.570173 |
| uranium-239 | 239.054290 | 1806.506861 | 7.558606 |
Conclusion:
The binding energy per nucleon of the given isotopes of the five most massive naturally occurring elements is shown in table above.
To determine
(c)
The comparison for the binding energy per nucleon of the given isotopes of the five most massive naturally occurring elements and the binding energy per nucleon for the given isotopes of the five least massive elements and also comment on the pattern or trends that are obvious.
Expert Solution
Explanation of Solution
The lighter elements have
Conclusion:
Thus, lighter elements stay much less than
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Chapter 27 Solutions
COLLEGE PHYSICS,VOLUME 1
Ch. 27 - Prob. 1QAPCh. 27 - Prob. 2QAPCh. 27 - Prob. 3QAPCh. 27 - Prob. 4QAPCh. 27 - Prob. 5QAPCh. 27 - Prob. 6QAPCh. 27 - Prob. 7QAPCh. 27 - Prob. 8QAPCh. 27 - Prob. 9QAPCh. 27 - Prob. 10QAP
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