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An untrained but perceptive exclaims, “They say that nuclear energy can be released by sticking nuclei together and by breaking them apart. That doesn’t make sense” Straighten out your friend’s confusion.

Short Answer

Expert verified

It is because the behavior of binding energy per nucleon is not monotonic as a function of the atomic number that we can either stick small nuclei together or break big nuclei apart to gain nuclear energy.

Step by step solution

01

Given data

Nuclear energy is not released by sticking nuclei together and breaking them apart

02

Concept of Nuclear energy

Nuclear energy,also called atomic energy,energythat is released in significant amounts in processes that affect atomic nuclei, thedensecores ofatoms

03

Explanation of nuclei break apart to gain nuclear energy

The binding energy per nucleon decreases, as the atomic number increase in heavy nuclei.

So, the intermediate-mass nuclei are at a lower energy per nucleon compared with the heavy-nuclei.

Thus, for heavynuclei to fissile to smaller nuclei, the total energy will decrease, and thus energy s released.

That is why we can break nuclei apart to gain nuclear energy.

04

Explanation of nuclei stick together to gain nuclear energy

For the small nuclei, as the atomic number increase, the binding energy per nucleon increases, thus, the heavier nuclei, like helium, is at a lower energy per nucleon compared to deuterium.

Thus, the fusion of two deuterons to helium3could also produce energy.

That is why we can stick nuclei together to gain nuclear energy.

It is because the behavior of binding energy per nucleon is not monotonic as a function of the atomic number that we can either stick small nuclei together or break big nuclei apart to gain nuclear energy.

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Most popular questions from this chapter

Potassium-40 has a half-life of1.26×109 yr, decaying to calcium-40 and argon-40 in a ratio of 8.54 to 1. If a rock sample contained no argon when it formed a solid but now contains one argon-40 atom for every potassium-40 atom, how old is the rock?

Glancing at the binding energy per nucleon plot of Figure 11.14– with its maximum around iron Z=26––it might naively be argued that fission would be favorable for any nucleus of about Z = 52 or higher. Show that the Tellurium – 130 broke into two iron- 56 nuclei, freeing the excess neutrons, the total binding energy would actually decreases.Explain what is wrong with the naïve argument.

(a) Calculatethe binding energies per nucleon of the isobars boron- 12, carbon- 12, and nitrogen- 12.

(b) In which ofthe terms of the semiempirical binding energy formula do these binding energies differ, and how should these differences affect the binding energy per nucleon?

(c) Determine the binding energy per nucleon using the semiempirical binding energy formula and discuss the result.

MRI relies on only a tiny majority of the nuclear magnetic moments aligning with the external field. Consider the common target nucleus hydrogen. The difference between the aligned and anti aligned states of a dipole in a magnetic field is2μ:B Equation (8-7) can be used to findμz for the proton. Provided that the correct mass and gyromagnetic ratio(gp=5.6) are inserted. Using the Boltzmann distribution, show that for a1.0T field and a reasonable temperature, the number aligned exceeds the number anti aligned by less than 1100%.

The first two terms in the semi empirical binding energy formula deal solely with the internucleon attraction.

(a) Calculate the ratio of the second term to first term forA=20 . What does it say about the surface nucleons?

(b) Repeat part (a), but forA=220 .

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