FlipIt for College Physics (Algebra Version - Six Months Access)
17th Edition
ISBN: 9781319032432
Author: Todd Ruskell
Publisher: W.H. Freeman & Co
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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 EBnucleon values that vary radically and stay much less than the maximum of 8.79 MeV/nucleon at 5626Fe. The heavier elements have EBnucleon values that are very stable and stay right near the maximum value of 8.79 MeV/nucleon.
Conclusion:
Thus, lighter elements stay much less than 8.79 MeV/nucleon and the heavier elements are stable and near the maximum value of 8.79 MeV/nucleon.
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Chapter 27 Solutions
FlipIt for College Physics (Algebra Version - Six Months Access)
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
Ch. 27 - Prob. 11QAPCh. 27 - Prob. 12QAPCh. 27 - Prob. 13QAPCh. 27 - Prob. 14QAPCh. 27 - Prob. 15QAPCh. 27 - Prob. 16QAPCh. 27 - Prob. 17QAPCh. 27 - Prob. 18QAPCh. 27 - Prob. 19QAPCh. 27 - Prob. 20QAPCh. 27 - Prob. 21QAPCh. 27 - Prob. 22QAPCh. 27 - Prob. 23QAPCh. 27 - Prob. 24QAPCh. 27 - Prob. 25QAPCh. 27 - Prob. 26QAPCh. 27 - Prob. 27QAPCh. 27 - Prob. 28QAPCh. 27 - Prob. 29QAPCh. 27 - Prob. 30QAPCh. 27 - Prob. 31QAPCh. 27 - Prob. 32QAPCh. 27 - Prob. 33QAPCh. 27 - Prob. 34QAPCh. 27 - Prob. 35QAPCh. 27 - Prob. 36QAPCh. 27 - Prob. 37QAPCh. 27 - Prob. 38QAPCh. 27 - Prob. 39QAPCh. 27 - Prob. 40QAPCh. 27 - Prob. 41QAPCh. 27 - Prob. 42QAPCh. 27 - Prob. 43QAPCh. 27 - Prob. 44QAPCh. 27 - Prob. 45QAPCh. 27 - Prob. 46QAPCh. 27 - Prob. 47QAPCh. 27 - Prob. 48QAPCh. 27 - Prob. 49QAPCh. 27 - Prob. 50QAPCh. 27 - Prob. 51QAPCh. 27 - Prob. 52QAPCh. 27 - Prob. 53QAPCh. 27 - Prob. 54QAPCh. 27 - Prob. 55QAPCh. 27 - Prob. 56QAPCh. 27 - Prob. 57QAPCh. 27 - Prob. 58QAPCh. 27 - Prob. 59QAPCh. 27 - Prob. 60QAPCh. 27 - Prob. 61QAPCh. 27 - Prob. 62QAPCh. 27 - Prob. 63QAPCh. 27 - Prob. 64QAPCh. 27 - Prob. 65QAPCh. 27 - Prob. 66QAPCh. 27 - Prob. 67QAPCh. 27 - Prob. 68QAPCh. 27 - Prob. 69QAPCh. 27 - Prob. 70QAPCh. 27 - Prob. 71QAPCh. 27 - Prob. 72QAPCh. 27 - Prob. 73QAPCh. 27 - Prob. 74QAPCh. 27 - Prob. 75QAPCh. 27 - Prob. 76QAPCh. 27 - Prob. 77QAPCh. 27 - Prob. 78QAPCh. 27 - Prob. 79QAPCh. 27 - Prob. 80QAPCh. 27 - Prob. 81QAPCh. 27 - Prob. 82QAPCh. 27 - Prob. 83QAPCh. 27 - Prob. 84QAPCh. 27 - Prob. 85QAPCh. 27 - Prob. 86QAPCh. 27 - Prob. 87QAPCh. 27 - Prob. 88QAPCh. 27 - Prob. 89QAPCh. 27 - Prob. 90QAPCh. 27 - Prob. 91QAPCh. 27 - Prob. 92QAPCh. 27 - Prob. 93QAPCh. 27 - Prob. 94QAPCh. 27 - Prob. 95QAPCh. 27 - Prob. 96QAPCh. 27 - Prob. 97QAP
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