Chapter 43: Problem 44
43.44. The United States uses \(1.0 \times 10^{19} \mathrm{J}\) of electrical energy per year. If all this energy came from the fission of \(^{235} \mathrm{U}\) , which releases 200 MeV per fission event, (a) how many kilograms of 235 \(\mathrm{U}\) would be used per year and (b) how many kilograms of uranium would have to be mined per year to provide that much 235 \(\mathrm{U} ?\) (Recall that only 0.70\(\%\) of naturally occurring uranium is \(^{235} \mathrm{U.}\) )
Short Answer
Step by step solution
Convert Energy Release per Fission Event to Joules
Calculate Number of Fission Events Required
Calculate the Mass of Uranium-235 Used
Calculate the Total Uranium Mined
Conclusion
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
uranium-235
energy conversion
fission events
- Each fission event releases approximately 200 MeV of energy, which gets converted into heat.
- The free neutrons generated can initiate further fission events. This leads to a chain reaction if controlled properly.
- The number of neutrons released and their energy dictate how many subsequent fission events can occur, influencing the overall reaction rate.
nuclear energy production
- Huge energy output: A small amount of uranium can produce as much energy as several tons of coal or oil.
- Low greenhouse gas emissions: Nuclear plants do not emit carbon dioxide during operation, making them environmentally friendly compared to fossil fuels.
- Reliability: Nuclear power plants can operate continuously for long periods, providing a consistent energy supply.