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Chapter 16: Problem 89

What is the definition of critical mass?

Short Answer

Expert verified
Critical mass is the minimum amount of fissile material, like uranium-235 or plutonium-239, required to sustain a nuclear chain reaction. It ensures that there are enough fissile materials present for the neutrons released by one fission event to cause at least one additional fission event on average. A nuclear chain reaction, such as nuclear fission, is a self-sustaining process where one nuclear reaction generates more nuclear reactions, ultimately creating a continuous release of energy and particles.

Step by step solution

01

Introduction to Nuclear Chain Reactions

A nuclear chain reaction is a self-sustaining process where one nuclear reaction generates a minimum of one other nuclear reaction, which in turn produces more nuclear reactions. The most common example of this process is nuclear fission, where a nucleus splits into two smaller nuclei, which are accompanied by the release of energy and other particles, such as neutrons. If these released neutrons cause the fission of other nearby nuclei, the process continues and leads to a chain reaction.
02

Definition of Critical Mass

Critical mass is the minimum amount of fissile material (such as uranium-235 or plutonium-239) required to sustain a nuclear chain reaction. The purpose of critical mass is to ensure that there are enough fissile materials present for the neutrons released by one fission event to, on average, cause at least one additional fission event. When the amount of fissile material is below the critical mass, there are not enough potential fission events to sustain a chain reaction, and the process will eventually halt. When there is more fissile material than the critical mass, the chain reaction becomes self-sustaining and, if uncontrolled, can lead to a rapid release of energy, such as in a nuclear explosion. In a controlled environment, such as a nuclear reactor, the critical mass is maintained to produce a steady energy output.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Nuclear Chain Reaction
A nuclear chain reaction is the process by which a series of nuclear reactions become self-sustaining. It occurs when one nuclear reaction, often starting with nuclear fission, triggers further reactions, thereby becoming selfsustaining. This is akin to a domino effect. In nuclear fission, the nucleus of an unstable atom splits into smaller parts, releasing a significant amount of energy. This splitting releases neutrons, which can then strike other nearby fissile nuclei, causing them to split as well and perpetuate the cycle.
  • Self-sustaining means that once initiated, the process continues on its own without further external input.
  • The chain reaction is essential for both nuclear power generation and nuclear weapons.
  • For a nuclear chain reaction to occur, there must be sufficient fissile material and favorable conditions such as appropriate neutron energy and material geometry.
Understanding nuclear chain reactions is crucial for harnessing nuclear energy, ensuring safety, and preventing the unintentional initiation of a reaction.
Fissile Material
Fissile material is the key ingredient required for nuclear fission processes, including nuclear chain reactions. These materials are capable of sustaining such reactions because they can split into smaller atoms easily when hit by a neutron. Common examples of fissile materials include uranium-235 and plutonium-239.
These materials are particularly powerful because they can undergo fission with low-energy or thermal neutrons. This ability makes them distinct and highly sought for both nuclear reactors and nuclear weapons.
  • Uranium-235: A naturally occurring isotope used in nuclear reactors and weapons.
  • Plutonium-239: Created from uranium-238 in reactors and used similarly in weapons and some reactors.
  • Fissile materials are crucial for sustaining a chain reaction due to their specific characteristics.
The presence of adequate fissile material is essential to reach critical mass and to maintain a sustainable nuclear chain reaction.
Nuclear Fission
Nuclear fission is the process where the nucleus of an atom splits into two or more smaller nuclei, along with the release of energy, neutrons, and other byproducts. This process is a fundamental mechanism behind nuclear energy and weaponry.
When a neutron collides with a fissile nucleus, this can initiate fission, causing the nucleus to split. Each split releases additional neutrons and a significant amount of kinetic energy, which is the principle behind nuclear reactors providing electricity and the destructive power of atomic bombs.
  • The kinetic energy released is converted to heat, which can be harnessed economically in nuclear power plants.
  • Fission differs from fusion, where smaller nuclei combine to form a larger nucleus.
  • Nuclear fission is central to both controlled, energy-producing systems and uncontrolled, destructive weapons.
Understanding this process helps in the safe, effective use of nuclear technology.
Minimum Fissile Material
Minimum fissile material is essentially the small quantity of material needed to allow a nuclear chain reaction to occur and sustain itself. This is imperative to understand in both controlled settings like nuclear reactors and in nuclear weapons.
Achieving the minimum amount is crucial for reaching what's known as the critical mass 鈥� the sweet spot where a reaction is self-sustaining but not excessively rapid.
  • A key factor in determining the minimum is the purity and concentration of the fissile material.
  • The configuration and density of the material also impact reaching critical mass.
  • Below the minimum quantity, any initial fission reactions will fizzle out shortly, as neutrons escape or are absorbed by non-fissile materials.
Maintaining this balance ensures safety and efficiency in nuclear technology applications.

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Most popular questions from this chapter

What is a radioactive atom?

Why are such high temperatures needed to initiate nuclear fusion?

A rock from an asteroid contains \(2.57 \mathrm{~g}\) of \({ }_{92}^{236} \mathrm{U}\) and \(3.83 \mathrm{~g}\) of \({ }_{82}^{206} \mathrm{~Pb}\). The molar mass of \({ }_{82}^{206} \mathrm{~Pb}\) is \(205.97446 \mathrm{~g} / \mathrm{mol}\), the molar mass of \({ }_{99}^{238} \mathrm{U}\) is \(238.029 \mathrm{~g} / \mathrm{mol}\), and the half- life of \({ }_{92}^{238} \mathrm{U}\) is \(4.46 \times 10^{9}\) years. Assume that all the \({ }_{82}^{206} \mathrm{~Pb}\) came from the radioactive decay of the \({ }_{92}^{238} \mathrm{U}\). (a) How many atoms of each isotope are present in the rock? (b) How many atoms of \({ }_{92}^{238} \mathrm{U}\) were in the rock when it formed? (c) What is the percent of \({ }_{92}^{238} \mathrm{U}\) atoms remaining in the rock compared to when it was first formed? (d) How old is the asteroid?

Suppose \({ }_{20}^{40} \mathrm{Ca}\) is the product of a beta-emission nuclear reaction. What was the parent isotope?

What happens to an atom's nucleus when it undergoes beta emission?
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