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Nuclear fission and fusionEdexcel A-Level Physics: Mind map

The curve
Fission

Fission and fusion

Binding energy per nucleon

Peak at Fe-56FissionFusion
Fusion
Conditions
Energy released

Exam questions on Nuclear fission and fusion

  1. The binding energy per nucleon of nuclei varies with nucleon number. It rises steeply for the lightest nuclei, reaches a maximum of about 8.8 MeV per nucleon at a nucleon number of about 56 (iron-56), and then falls slowly for heavier nuclei, to about 7.6 MeV per nucleon for uranium-235.
    Use the information about the binding energy per nucleon to explain why energy is released when two light nuclei fuse.2 marks
  2. In a proposed fusion reactor, a gas of deuterium (hydrogen-2) and tritium (hydrogen-3) nuclei is heated until it forms a plasma at a temperature of about 1×1081 \times 10^{8} K. The nuclei are then held together at a very high density so that they can fuse to form helium-4.
    Explain why fusion requires both a very high temperature and a very high density.2 marks
  3. In a nuclear power station, one of the fission reactions of uranium-235 is 01n+92235U→56141Ba+3692Kr+3 01n{}^{1}_{0}\text{n} + {}^{235}_{92}\text{U} \rightarrow {}^{141}_{56}\text{Ba} + {}^{92}_{36}\text{Kr} + 3\,{}^{1}_{0}\text{n}. Binding energy per nucleon: uranium-235, 7.59 MeV; barium-141, 8.33 MeV; krypton-92, 8.51 MeV. Take 1 MeV=1.60×10−131\text{ MeV} = 1.60 \times 10^{-13} J, the molar mass of uranium-235 as 235 g mol⁻¹ and NA=6.02×1023N_A = 6.02 \times 10^{23} mol⁻¹.
    Use the binding energy per nucleon values to calculate the energy released, in MeV, when one uranium-235 nucleus undergoes this fission.3 marks
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Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).