chem 2-24

Key Concept: Stability checks for a nucleus. - First Check: Any nucleotide with more than 82 protons is automatically radioactive. - Second Check: Odd/even characteristics based on protons and neutrons. - Carbon-14 has 6 protons and 8 neutrons, making it stable under these checks.
Energy Ratio Explanation: An energy ratio is determined by dividing the number of neutrons by protons. For Carbon-14:
$rac{ ext{Number of Neutrons}}{ ext{Number of Protons}} = rac{8}{6} = 1.33$
- This value is high for stability, indicating causes of instability for Carbon-14.

Definition: The process where a large nucleus splits into two smaller ones, releasing energy.
Common Example: Uranium-235. - Natural Abundance: Less than 1% of natural uranium; predominantly Uranium-238. - Initiation of Fission: Bombarding Uranium-235 with a neutron causes instability and splitting into barium and krypton, accompanied by extra neutrons and energy release.
Chain Reactions: Each fission event produces additional neutrons that can induce further fission events, leading to a self-sustaining reaction.
Control of Chain Reaction: Necessitates enrichment of Uranium-235 to 7%, though only 3% is needed for reactor-grade use.
Energy Production Statistics: Estimated 20% of energy in the U.S. from nuclear power. - Generating power for a million people requires: - Uranium: 50 kg for nuclear compared to 2,000,000 kg for coal.
Challenges: - Need for careful control to prevent rapid fission leading to disasters (e.g., Chernobyl). - Control rods used to absorb excess neutrons and manage reaction intensity.
Historical Disasters: Chernobyl (control rod failure) and Fukushima (natural disasters affecting reactor safety).

Definition: The process of combining two small nuclei to form a larger nucleus, releasing vast amounts of energy.
Energy Output: Produces ten times more energy than fission.
Advantages: - No radioactive byproducts; generates stable products.
Control Challenges: High energy required to overcome repulsion between positively charged nuclei, making control difficult.
Current Research: Focuses on fusion of tritium and deuterium isotopes of hydrogen.
Hydrogen Bomb Mechanics: Uses fission to initiate fusion, demonstrating uncontrolled nuclear reactions.

Einstein's Equation: Describes the relationship between mass and energy:
$E = mc^2$
- Where m is mass, c is the speed of light ( $3.00 imes 10^8 ext{ m/s}$ ).
Mass Conversion: 1 AMU equals $1.66 imes 10^{-27} ext{ kg}$ .
Conservation of Mass: In nuclear reactions, mass imbalances lead to large energy release due to small changes in mass.

Fission Example: Calculation of energy release from Uranium-235 fission, considering precise atomic masses.
Alpha Decay of Americium-241: Using Einstein's equation to calculate energy produced.

Current Nuclear Energy Usage: Depends on complexity and control of fission and potential of fusion.
Future Considerations: Continued research and safety improvements in nuclear power technology and fusion dynamics.
Safety Regulations: Increased after historical incidents to ensure operational safety and worker security in nuclear plants.