Chapter 11: Problem 26
After a fuel rod in a fission reactor reaches the end of its life cycle (typically 3 years), most of the energy that it produces comes from the fissioning of plutonium- \(239 .\) How can this be?
Short Answer
Expert verified
Answer: After a fuel rod reaches the end of its life cycle, most of its energy is produced from the fissioning of plutonium-239, which is formed through the absorption of neutrons by uranium-238 and subsequent beta decay processes.
Step by step solution
01
Understanding the fission process in a nuclear reactor
In a fission reactor, nuclear reactions produce energy by splitting the nuclei of heavy atoms, most commonly uranium-235 (\(^{235}\)U). When a slow-moving neutron is absorbed by a uranium-235 nucleus, it becomes unstable and undergoes fission, splitting into two or more smaller nuclei, releasing a large amount of energy and additional neutrons. These emitted neutrons can further initiate fission in other uranium-235 nuclei, creating a chain reaction and generating a constant supply of energy.
02
Formation of plutonium-239 in a reactor
While most fission reactions occur with uranium-235, some of the neutrons will also be absorbed by the more abundant isotope uranium-238 (\(^{238}\)U). When a uranium-238 nucleus captures a neutron, it is converted into uranium-239 (\(^{239}\)U); this isotope is unstable and undergoes beta decay, turning into neptunium-239 (\(^{239}\)Np):
$$^{238}\text{U}+^{1}\text{n}\to^{239}\text{U}\to ^{239}\text{Np}+\beta^-$$
Neptunium-239 is also unstable and undergoes another beta decay, resulting in the formation of plutonium-239 (\(^{239}\)Pu):
$$^{239}\text{Np}\to ^{239}\text{Pu}+\beta^-$$
03
Energy production from plutonium-239 fission after the fuel rod's life cycle
Over the course of a fuel rod's life cycle, a significant amount of plutonium-239 is generated through the process described in step 2. Plutonium-239 is also fissile, meaning it can undergo fission and release energy, similar to uranium-235. When the concentration of uranium-235 decreases to the point where it no longer produces enough energy for the reactor, the fission of plutonium-239 becomes the primary source of energy production. This is because the remaining plutonium-239 is still capable of undergoing fission and maintaining the chain reaction. Thus, after a fuel rod reaches the end of its life cycle, most of the energy it produces comes from the fissioning of plutonium-239.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Fission Reactor
A fission reactor, often known as a nuclear reactor, is a complex system designed to manage the nuclear fission process. At its heart, a reactor contains fuel rods filled with fissile material, typically uranium-235 (235U). In the reactor, neutrons collide with the uranium atoms, instigating fission, which releases a substantial amount of energy in the form of heat. This heat is used to produce steam, which then drives turbines to generate electricity. The reactor is designed to control the rate of fission, ensuring that the reaction can be sustained safely over time.
- Control Rods: Integral to the reactor, these rods absorb excess neutrons and are used to regulate the rate of the reaction.
- Coolant: A substance, often water, that transfers heat away from the reactor core to prevent overheating.
- Moderator: A material that slows down neutrons so they can effectively induce fission upon collision with fissile uranium atoms.
Plutonium-239 Fission
Plutonium-239 (239Pu) is a man-made isotope that is produced in nuclear reactors from uranium-238 (238U) through neutron absorption and subsequent beta decay. Similar to uranium-235, plutonium-239 is fissile, meaning it can sustain a nuclear fission chain reaction. During fission, a plutonium-239 nucleus absorbs a neutron and splits into smaller atoms, releasing energy, more neutrons, and gamma radiation. The released neutrons can then continue to induce fission in other 239Pu nuclei, contributing to a self-perpetuating chain reaction. This property of plutonium-239 is utilized in both nuclear reactors and nuclear weapons.
- High Neutron Yield: Plutonium-239 produces more neutrons per fission event compared to uranium-235, which is beneficial for maintaining the chain reaction.
- Hazardous: Being highly radioactive and toxic, plutonium-239 requires careful handling and stringent safety protocols.
Uranium Decay
Uranium decay is a natural process by which unstable isotopes of uranium transform into other elements over time. Uranium-238, the most abundant isotope, decays through alpha emission, which is not part of the nuclear fission process in reactors. However, uranium-238 is relevant in reactors because it can absorb neutrons to ultimately become plutonium-239, another valuable fuel source.In a reactor setting, uranium-235, another isotope, undergoes a different type of decay known as fission. Unlike natural decay, fission is a nuclear reaction triggered by neutron absorption, leading to the nucleus splitting apart. The decay of uranium in reactors is carefully manipulated to maximize energy production while maintaining safety.
- Half-Life: Uranium isotopes have extremely long half-lives, extending over billions of years, which makes them a persistent source of radiation.
- Decay Series: Uranium decay ultimately leads to the formation of stable lead isotopes, but it involves a chain of radioactive decay steps, each with its unique byproduct and half-life.
Neutron Absorption
Neutron absorption is a fundamental phenomenon in the fission process occurring in nuclear reactors. It describes the capture of free neutrons by atomic nuclei. The outcome of neutron absorption varies depending on the type of nucleus it encounters:
Good neutron economy is essential for a sustained chain reaction in a fission reactor. Materials known as moderators are used to slow down the speed of neutrons, increasing the likelihood of absorption and subsequent fission events. The ability of a substance to absorb neutrons is characterized by its neutron cross-section, a critical factor in reactor design.
- If a neutron is absorbed by a fissile nucleus like uranium-235 or plutonium-239, it can cause the nucleus to become unstable and fission, thereby releasing energy.
- If a neutron is captured by a fertile nucleus like uranium-238, it undergoes a series of beta decays to become a fissile isotope, such as plutonium-239.
Good neutron economy is essential for a sustained chain reaction in a fission reactor. Materials known as moderators are used to slow down the speed of neutrons, increasing the likelihood of absorption and subsequent fission events. The ability of a substance to absorb neutrons is characterized by its neutron cross-section, a critical factor in reactor design.
Chain Reaction in Nuclear Reactions
A chain reaction in nuclear reactions is the self-sustaining sequence of fission events that occur when neutrons released by one fission process trigger additional fissions in nearby fissile atoms. For a chain reaction to be maintained, at least one of the emitted neutrons from each fission event must cause another fission. This balance is crucial:
In essence, the chain reaction is the core mechanism that allows nuclear reactors to produce continuous energy and is an example of how harnessing the fundamental principles of physics can lead to significant technological advancements.
- If too few neutrons cause subsequent fissions, the reaction will die out.
- If too many neutrons lead to fissions, the reaction can increase exponentially, potentially leading to a runaway reaction or explosion, which must be controlled in power generation contexts.
In essence, the chain reaction is the core mechanism that allows nuclear reactors to produce continuous energy and is an example of how harnessing the fundamental principles of physics can lead to significant technological advancements.