(a)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(b)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(c)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(d)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(e)
The binding energy of per nucleon of
Explanation of Solution
Calculation:
There are 26 protons and 30 neutrons in the stable iron isotope (Iron / Fe-56). Isotopes are atoms of the same element with the same number of atoms (the same number of protons), but with a different mass. The atomic number of all iron isotopes is 26. However, their masses are different.
Natural iron (Fe) consists of 4 isotopes: 5.845% of radioactive 54Fe, 91.754% of stable 56Fe, 2.119% of stable 57Fe and 0.282% of stable 58Fe. 56Fe of which is the most common because it is the most common endpoint of fusion chains in extremely massive stars.
The mass of Iron/Fe-56
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
The weight of an electron (it has a weight of about 1/1836 that of the proton):
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(f)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(g)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
(H)
The binding energy of per nucleon of
Explanation of Solution
Mass of a proton
Mass of Hydrogen atom
Mass of a neutron
Atomic mass of
Mass defect
Converting this into energy by below equation
The
Conclusion:
The binding energy of per nucleon of
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Chapter 27 Solutions
COLLEGE PHYSICS
- 56Feis among the most tightly bound of all nuclides. It is more than 90% of natural iron. Note that 56Fe has even numbers of both protons and neutrons. Calculate BE/A, the binding energy per nucleon, for 56Fe and compare it with the approximate value obtained from the graph in Figure 31.27.arrow_forwardA piece of wood from an ancient Egyptian tomb is tested for its carbon-14 activity. It is found to have an activity per gram of carbon of A = l0 decay/min.g. What is the age of the wood?arrow_forwardFind the radius of a 238Pu nucleus. 238Pu is a manufactured nuclide that is used as a power source on some space probes.arrow_forward
- 2H is a loosely hound isotope of hydrogen. Called deuterium or heavy hydrogen, it is stable but relatively rareit is 0.015% of natural hydrogen. Note that deuterium has Z = N, which should tend to make it more tightly bound, but both are odd numbers. Calculate BE/A, the binding energy per nucleon, for 2H and compare it with the approximate value obtained from line graph in Figure 31.27.arrow_forward(a) Calculate BEN for 235U, the rarer of the two most common uranium isotopes; (b) Calculate BEN for 238U(Most of uranium is 238U .)arrow_forwardThe naturally occurring radioactive isotope 232Th does not make good fission fuel, because it has an even number of neurons; however, it can be bred into a suitable fuel (much as 238U is bred into 239P). (a) What are Z and N for 232Th? (b) Write the reaction equation for neutron captured by 232Th and identify the nuclide AX produced in n+232ThAX+. (c) The product nucleus β decays, as does its daughter. Write me decay equations for each, and identify the final nucleus. (d) Conform that the final nucleus has an odd number of neutrons, making it a better fission fuel. (e) Look up the halflife of the final nucleus to see if it lives long enough to be a useful fuel.arrow_forward
- (a) Calculate BE/A for 12C. Stable and relatively tightly bound, this nuclide is most of natural carbon. (b) Calculate BE/A for 14C. Is the difference in BE/A between 12C and 14C signi?cant? One is Stable and common, and the other is unstable and rare.arrow_forwardTwo fusion reactions mentioned in the text are n+3H4He+ and n+1H2H+. But reactions release energy, but the second also creates more fuel. Confirm that the energies produced in the reactions are 20.53 and 2.22 MeV, respectively. Comment on which product nuclide is most tightly bound, 4He or 2H.arrow_forwardThe ceramic glaze on a red-orange “Fiestaware” plate is U2O3and contains 50.0 grams of 238U, but very little 235U. (a) What is the activity of the plate? (b) Calculate the total energy that will be released by the 238U decay, (c) If energy is worth 12.0 cents per kWh , what is the monetary value of the energy emitted? (These brightly- colored ceramic plates went out of production some 30 years ago, but are still available as collectibles.)arrow_forward
- 56 Fe is among the most tightly bound of all nuclides.It makes up more than 90% of natural iron. Note that 56 Fe has even numbers of protons and neutrons. Calculate the binding energy per nucleon for 6Fe and compare it with the approximate value obtained from the graph in Figure 10.7.arrow_forwardFallout from nuclear weapons tests in the atmosphere is mainly 90Sr and l37Cs, which have 28.6- and 32.2-y halflives, respectively. Atmospheric tests were terminated in most countries in 1963, although China only did so in 1980. It has been found that environmental activities of these two isotopes are decreasing taster than their halflives. Why might this be?arrow_forwardData from the appendices and the periodic table may be needed for these problems. There is more than one isotope of natural uranium. If a researcher isolates 1.00 mg of the relatively scarce 235U and finds this mass to have an activity of 80.0 Bq, what is its halflife in years?arrow_forward
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