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Answer :
Final answer:
The energy released from the fission reaction of 1.0 kg of uranium-235 is 8.19 × 10¹⁰ joules.
Explanation:
The energy released from the fission reaction of 1.0 kg of uranium-235 can be determined by calculating the number of Uranium-235 atoms in 1.0 kg and multiplying it by the energy released per atom. One mole of Uranium-235 has a mass of 235.04 g, so there are 4.25 mol in 1.0 kg. With Avogadro's number, we find that there are 2.56 × 10²4 atoms of 235 U. Each fission reaction of Uranium-235 produces 200 MeV of energy, which is equivalent to 3.2 × 10⁻¹⁴ joules. Therefore, the total energy released from the fission reaction of 1.0 kg of Uranium-235 is
(2.56 × 10²4 atoms) × (3.2 × 10⁻¹⁴ joules/atom) = 8.19 × 10¹⁰ joules.
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