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Answer :
To calculate the number of joules obtained from the fissioning of 1 kg of 235U, we can use the given information that the average energy release per fission is 198 MeV.
1. Convert the average energy release per fission from MeV to joules:
- 1 MeV = 1.6 × 10^-13 joules
- 198 MeV = 198 × 1.6 × 10^-13 joules
2. Calculate the number of fissions that occur in 1 kg of 235U:
- 1 kg of 235U contains Avogadro's number of atoms (6.022 × 10^23)
- The number of fissions is equal to the number of atoms divided by 2, since each fission splits the nucleus into two parts.
Number of fissions = (6.022 × 10^23) / 2
3. Calculate the total energy obtained from the fissioning of 1 kg of 235U:
- Multiply the energy per fission by the number of fissions.
Total energy = (198 × 1.6 × 10^-13 joules) × (6.022 × 10^23) / 2
Next, let's calculate how much energy can be obtained from the 235U in one kg of natural uranium.
4. Natural uranium consists of about 0.7% of the fissile isotope 235U.
- Multiply the total energy obtained from 1 kg of 235U (from step 3) by 0.007 to find the energy obtained from the 235U in one kg of natural uranium.
Energy from 1 kg of natural uranium = Total energy × 0.007
Now, let's calculate how much energy can be obtained from burning 1 kg of coal.
5. The energy content of coal varies depending on its type and quality, but on average, it is around 24 million joules per kg (24 MJ/kg).
Finally, let's calculate the total amount of energy contained in the known US resources of coal and 235U, respectively.
6. Multiply the energy obtained from 1 kg of coal (from step 5) by the known US resources of coal to find the total energy contained in the known US resources of coal.
Total energy from US coal resources = Energy from 1 kg of coal × Known US resources of coal
7. Multiply the energy obtained from 1 kg of natural uranium (from step 4) by the known US resources of 235U to find the total energy contained in the known US resources of 235U.
Total energy from US 235U resources = Energy from 1 kg of natural uranium × Known US resources of 235U
Please note that the actual values for the known US resources of coal and 235U are not provided, so I cannot provide the final numerical values.
However, using the steps outlined above, you should be able to calculate the total energy contained in the known US resources of coal and 235U by substituting the given values.
Learn more about average energy release:
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