Chapter 13 Assessment Exercises

25 July 2022
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question
Is radioactivity in the world something relatively new? Defend your answer.
answer
No radioactivity in the world is not something that is relatively new. The sun has been blowing radioactive particles into space from the beginning of its concept and a lot of it has always been scattering all over the earth.
question
Why is a sample of radium always a little warmer than its surroundings?
answer
Radioactive material is always undergoing decay. Radioactive elements decaying; basically there constantly breaking down into other energy forms. During this process energy is released, mainly in the form of heat, which is why it is usually warmer than the surrounding. When a substance releases energy, it is known as an Exothermic reaction.
question
Some people say that all things are possible. Is it at all possible for a hydrogen nucleus to emit an alpha particle? Defend your answer.
answer
It is not possible since a hydrogen nucleus is only a single proton and an alpha particle is a helium nuclecus containing two protons and two neutrons. A hydrogen nucleus just doesn't have enough particles to give off alpha radiation.
question
Why are alpha and beta rays deflected in opposite directions in a magnetic field? Why are gamma rays undeflected?
answer
Alpha particles are helium nuclei which carry 2 positive charges Beta rays are electrons which carry a negative charge. Hence the magnetic forces are in opposite directions. Gamma rays are propagating EM waves (photons) which are not subject to magnetic forces since they are electrically neutral and travel in straight lines.
question
In bombarding atomic nuclei with proton "bullets," why must the protons be accelerated to high energies to make contact with the target nuclei?
answer
The protons repel one another. The repulsion keeps slow protons from getting close to the nucleus. The strong nuclear force can overcome the repulsion but it is only active over very short distances. You need to shoot the protons fast enough that they can overcome the repulsion of the nuclear protons and get close enough to be captured by the strong force.
question
What evidence supports the contention that the strong nuclear force is stronger than the electrical force at short internuclear distance?
answer
Protons are able to exist side by side in an atomic nucleus
question
Why will nuclear fission probably not be used directly for powering automobiles? How could it be used indirectly?
answer
A lot of the energy created by nuclear fission is uncontrollable, and there is far too much energy produced which would cause other problems such as melting the car for instance. It could be used indirectly by simply supplying power to car batteries, that is to say, electric cars running off power generated by nuclear fission.
question
Why does a neutron make a better nuclear bullet than a proton or an electron?
answer
If it is to penetrate the nucleus, clearly a proton has the handicap of its positive charge. Like charge repel, all the more strongly that they are close. So the proton closing in on a nucleus will be scattered in another direction and hit the nucleus only if it is very energetic. The electron has the opposite charge, so it is not the problem. But it is much lighter and clearly you cannot replace a roller ball by a ping pong ball and hope for a strike. Also, it has no strong interactions and will influence the nucleus only through its electric charge. The neutron has no charge and the same mass as the proton and it has strong interactions, so it is clearly much fitter.
question
Why is lead found in all deposits of uranium ores?
answer
Isotopes of Uranium will continue to radioactively decay until reaching a stable state. One of those isotopes decay to lead.
question
Why does a chain reaction not occur in uranium mines?
answer
The density of fissionable uranium is not high enough. Basically more neutrons are absorbed than are produced so any chain reaction dies.
question
If a nucleus of 232/90Th absorbs a neutron and the resulting nucleus undergoes two successive beta decays (emitting electrons), what nucleus results?
answer
When Th 232/90 absorbs a neutron, the atomic mass increases but the atomic number stays the same, so that produces 233/90 Th. If that nucleus undergoes beta decay, the neutron becomes a proton and emits an electron; this increases the atomic number by one but does not change the atomic mass, so the first decay produces Pa 233/91. The second beta decay increases the atomic number by one, so you get U 92/233 which is Uranium-233.
question
How does the mass per nucleon in uranium compare with the mass per nucleon in the fission fragments of uranium?
answer
The mass of the nucleons is the same, but their binding energy is different. This means (via E=mc^2) that the mass of the fragments do not add to the mass of the uranium nucleus, because some of the mass arises from the binding energy.
question
Which process would release energy from gold, fission or fusion? From carbon? From iron?
answer
Nuclear binding energy is at its maximum for Iron. In practical terms, neither fission nor fusion processes would release nuclear energy from Iron. Gold has greater atomic mass than Iron, so would release nuclear energy in fission processes. Carbon has lighter atomic mass than Iron, so would release nuclear energy in fusion processes.