DP Physics (first assessment 2025)

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Question EXE.2.SL.TZ0.18

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Date Example questions Example questions Marks available [Maximum mark: 8] Reference code EXE.2.SL.TZ0.18
Level SL Paper 2 Time zone TZ0
Command term Calculate, Discuss, Outline Question number 18 Adapted from N/A
18.
[Maximum mark: 8]
EXE.2.SL.TZ0.18

One possible fission reaction of uranium-235 U92235 is

U92235+nCs55137+Rb3795+4n

(a)

Outline, with reference to the decay equation above, the role of chain reactions in the operation of a nuclear power station.

[3]

Markscheme

The four neutrons released in the reaction may initiate further fissions ✓ 

«If sufficient U-235 is available,» the reaction is self-sustained ✓ 

Allowing for the continuous production of energy ✓

The number of neutrons available is controlled with control rods «to maintain the desired reaction rate» ✓

The following data are given:

Binding energy per nucleon of U92235    = 7.591 MeV

Binding energy per nucleon of caesium-137 Cs55137    = 8.389 MeV

Binding energy per nucleon of rubidium-95 Rb3795    = 8.460 MeV

(b)

Calculate, in MeV, the energy released in the reaction.

[2]

Markscheme

137×8.389+95×8.460-235×7.591

169 «MeV» ✓ 

(c)

Two nuclides present in spent nuclear fuel Cs55137 are  and cerium-144 (Ce58144). The initial activity of a sample of pure Ce58144 is about 40 times greater than the activity of the same amount of pure Cs55137.

Discuss which of the two nuclides is more likely to require long-term storage once removed from the reactor.

[3]

Markscheme

«For the same number of nuclei,» the activity is inversely related to half-life ✓ 

Thus Cs55137 has a longer half-life and will likely require longer storage ✓

Half-lives of their decay products need also be considered when planning storage ✓