DP Chemistry (last assessment 2024)

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Question 19M.3.sl.TZ1.12

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Date May 2019 Marks available [Maximum mark: 5] Reference code 19M.3.sl.TZ1.12
Level sl Paper 3 Time zone TZ1
Command term Calculate, Outline, Write Question number 12 Adapted from N/A
12.
[Maximum mark: 5]
19M.3.sl.TZ1.12

Uranium-235, 235U, is bombarded with a neutron causing a fission reaction.

Two products of the fission of 235U are 144Ba and 89Kr.

(a(i))

Write the nuclear equation for this fission reaction.

[1]

Markscheme

235U + 1n → 144Ba + 89Kr + 3 1[✔]

Examiners report

Only about a third of the candidates could write the nuclear equation for the requested fission reaction.

(a(ii))

Outline why the reaction releases energy.

[1]

Markscheme

greater binding energy per nucleon in products than reactant  [✔]

 

Note: Accept “mass of products less than reactants” OR “mass converted to energy/E = mc2”.

Examiners report

Only about a quarter of the candidates could explain the release of energy, usually in terms of the change in nuclear binding energy.

(b)

The critical mass for weapons-grade uranium can be as small as 15 kg. Outline what is meant by critical mass by referring to the equation in (a)(i).

[2]

Markscheme

mass/amount/quantity required so that «on average» each fission/reaction results in a further fission/reaction  [✔]

at least one of the «3» neutrons produced must cause another reaction  [✔]

 

Note: Accept “minimum mass of fuel needed for the reaction to be self-sustaining”.

Examiners report

Less than half the candidates could correctly explain “critical mass” with even fewer combining the definition as the minimum mass for a sustainable fission reaction with the required clarification in terms of neutrons creating a chain reaction.

(c)

The daughter product, 89Kr, has a half-life of 3.15 min.

Calculate the time required, in minutes, for the mass of 89Kr to fall to 6.25 % of its initial value.

[1]

Markscheme

«6.25 % = 4 half-lives, so 4 × 3.15 =» 12.6 «min»  [✔]

Examiners report

Another question that created far more problems than anticipated with only about half gaining the mark. Many students appeared not to realise that 6.25 % is 1/16, hence the amount remaining after 4 half lives.