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Chapter 16: Problem 93

Why are such high temperatures needed to initiate nuclear fusion?

Short Answer

Expert verified
High temperatures are needed to initiate nuclear fusion as they provide the particles with enough kinetic energy to overcome electrostatic repulsion between the positively charged nuclei. At extremely high temperatures, in the range of tens of millions of degrees Kelvin, the kinetic energy of the colliding particles is sufficient for the attractive nuclear forces to dominate, causing the nuclei to fuse together and release a significant amount of energy.

Step by step solution

01

Understanding Nuclear Fusion

Nuclear fusion is a process in which two atomic nuclei come close enough to combine and form a single heavier nucleus while releasing a significant amount of energy. This process powers stars, including our own Sun. For fusion to occur, the participating nuclei need to overcome their mutual electrostatic repulsion due to their positive charges.
02

Electrostatic Repulsion

Electrostatic repulsion refers to the force that pushes positively charged particles apart from each other. Since atomic nuclei are positively charged due to the presence of protons, they experience a repulsive force when they come close to each other. This repulsion must be overcome for nuclear fusion to take place.
03

Role of Temperature in Nuclear Fusion

Temperature is related to the average kinetic energy of the particles in a system. If a gas is hotter, its particles move faster, and their average kinetic energy is higher. In the context of nuclear fusion, a higher kinetic energy of the particles would imply that they have a greater chance of overcoming electrostatic repulsion when they collide.
04

The Importance of High Temperature

The reason why nuclear fusion requires very high temperatures is because, without sufficient temperature, the participating nuclei cannot overcome their electrostatic repulsion. At these high temperatures, the particles have enough kinetic energy to come so close that the attractive nuclear force between them becomes dominant and causes them to fuse together. The temperatures at which nuclear fusion reactions occur are usually in the range of tens of millions of degrees Kelvin. In conclusion, high temperatures are required to initiate nuclear fusion because they provide the particles with enough kinetic energy to overcome electrostatic repulsion and trigger the fusion process.

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Key Concepts

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

Electrostatic Repulsion
In the world of atomic particles, like charges repel each other. This is known as electrostatic repulsion. Atomic nuclei are made up of protons and neutrons, with protons carrying a positive charge.
When two atomic nuclei come close, the positive charges of the protons create a repulsive force that pushes them apart. This repulsion is quite strong and is one of the main obstacles to nuclear fusion.
  • The repulsion prevents the nuclei from getting close enough under normal temperatures and conditions.
  • Overcoming this repulsion is essential for nuclear fusion to occur.
  • High temperatures help particles move fast enough to overcome this barrier.
Kinetic Energy
Kinetic energy is the energy that a particle possesses due to its motion. The faster a particle moves, the more kinetic energy it has.
In nuclear fusion, the kinetic energy of the particles is a crucial factor.
When particles have high kinetic energy, they move more rapidly, increasing the likelihood of overcoming the electrostatic repulsion between atomic nuclei.
  • High kinetic energy means particles can get close enough for fusion to occur.
  • This energy comes from the high temperatures in fusion environments.
As the particles speed up, they can breach the repulsive barrier and come into close proximity, where other forces take effect.
High Temperature
Temperature is directly related to the average kinetic energy of particles. In the context of nuclear fusion, high temperatures translate into high-speed particles.
Temperatures in fusion reactions often reach tens of millions of degrees Kelvin.
This extreme heat is necessary because it gives the atomic nuclei the kinetic energy needed to overcome electrostatic repulsion.
  • The sun and stars naturally reach such temperatures, enabling fusion to occur.
  • High temperature environments allow fusion conditions to be met.
It鈥檚 an incredible balancing act where temperature dictates the speed and energy of particles, enabling nuclear fusion.
Atomic Nuclei
Atomic nuclei are the central part of an atom, consisting of protons and neutrons. In nuclear fusion, these nuclei must come very close to each other to allow the fusion process to start.
The composition of atomic nuclei is important because of the electrostatic forces at play.
  • Nuclei must overcome the repulsive forces between protons.
  • Once close enough, other forces can take hold and fusion can occur.
Understanding the structure of atomic nuclei helps in comprehending how and why fusion reactions are so demanding in terms of energy requirements.
Nuclear Force
Nuclear force, specifically the strong nuclear force, is a fundamental force that operates at very short distances within an atomic nucleus. It is responsible for holding the nucleus together, overcoming the repulsion between protons.
During fusion, if two atomic nuclei come close enough to overcome electrostatic repulsion, the strong nuclear force becomes dominant.
  • It pulls the nuclei together, facilitating fusion.
  • This force is extremely powerful but only acts over very short distances.
Once the nuclei are within range, the strong nuclear force binds them together, releasing energy in the process.

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A painting supposedly by Rembrandt \((1609-\) 1669 was found to contain \(96.1 \%\) of the amount of \({ }^{14} \mathrm{C}\) found in a living plant. Could this painting have been done by Rembrandt? [The half-life of \({ }^{14} \mathrm{C}\) is 5715 years. ] Justify your answer.

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