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Radioactivity (A-level only)

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Question 23

A commercial thermal nuclear power station utilizes controlled induced fission of uranium-235 to generate electricity.

a.

Explain why it is necessary to reduce the kinetic energy of fission neutrons before they can initiate subsequent fission events in a thermal reactor.

[2]
b.

In a particular moderator material, a newly-produced fission neutron loses 48% of its kinetic energy during each collision with a moderator nucleus. If a neutron is initially released with a kinetic energy of 3.2 MeV3.2\text{ MeV}3.2 MeV, calculate its kinetic energy after five such collisions. Give your answer in eV\text{eV}eV.

[3]
c.

The average kinetic energy of fission neutrons must be reduced from approximately 3.2 MeV3.2\text{ MeV}3.2 MeV to thermal energies of about 1 eV1\text{ eV}1 eV. Explain, by considering conservation of momentum and energy in collisions, why the choice of moderator material (specifically the nucleon number of its atoms) affects the number of collisions required to achieve this.

[2]
d.

A typical fission reaction occurring within the reactor core is represented by the equation:

92235U+01n→56141Ba+3692Kr+301n ^{235}_{92}\text{U} + ^{1}_{0}\text{n} \rightarrow ^{141}_{56}\text{Ba} + ^{92}_{36}\text{Kr} + 3^{1}_{0}\text{n} 92235​U+01​n→56141​Ba+3692​Kr+301​n

Calculate, in MeV\text{MeV}MeV, the energy released in this single fission event.

Data:

  • mass of 92235U=235.044 u^{235}_{92}\text{U} = 235.044\text{ u}92235​U=235.044 u
  • mass of 56141Ba=140.914 u^{141}_{56}\text{Ba} = 140.914\text{ u}56141​Ba=140.914 u
  • mass of 3692Kr=91.926 u^{92}_{36}\text{Kr} = 91.926\text{ u}3692​Kr=91.926 u
  • mass of 01n=1.0087 u^{1}_{0}\text{n} = 1.0087\text{ u}01​n=1.0087 u
  • 1 u=931.5 MeV1\text{ u} = 931.5\text{ MeV}1 u=931.5 MeV
[4]
Markscheme

Radioactivity (A-level only) Questions

  1. A Level
  2. /Physics
  3. /Radioactivity (A-level only)

128 exam-style questions on AQA A Level Physics Radioactivity (A-level only), covering Rutherford scattering (A-level only), $\alpha$ , $\beta$ and $\gamma$ radiation (A-level only), Radioactive decay (A-level only), Nuclear instability (A-level only), Nuclear radius (A-level only), Mass and energy (A-level only), Induced fission (A-level only), and Safety aspects (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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