During a single fission event of uranium-235 in a nuclear reactor the total mass lost is 0.23 u - AQA - A-Level Physics - Question 31 - 2018 - Paper 2
Question 31
During a single fission event of uranium-235 in a nuclear reactor the total mass lost is 0.23 u. The reactor is 25% efficient.
How many events per second are requir... show full transcript
Worked Solution & Example Answer:During a single fission event of uranium-235 in a nuclear reactor the total mass lost is 0.23 u - AQA - A-Level Physics - Question 31 - 2018 - Paper 2
Step 1
Calculate the energy released per fission event
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Answer
The energy released per fission event can be calculated using the mass-energy equivalence formula:
E=rianglemc2.
Given that the mass lost is 0.23 u and using the conversion factor of 1 u = 931.5 MeV:
E=0.23imes931.5extMeV=214.24extMeV.
To convert this energy into joules (since 1 MeV = 1.602 imes 10^{-13} J):
E=214.24imes1.602imes10−13J=3.43imes10−11J.
Step 2
Determine the useful energy output per fission event considering efficiency
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Answer
Since the reactor is 25% efficient, the useful energy output per fission event is: