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Question 18M.3.hl.TZ2.26

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Date May 2018 Marks available [Maximum mark: 6] Reference code 18M.3.hl.TZ2.26
Level hl Paper 3 Time zone TZ2
Command term Calculate, Explain, Formulate, Justify Question number 26 Adapted from N/A
26.
[Maximum mark: 6]
18M.3.hl.TZ2.26

Radioisotopes can be used to treat a wide variety of diseases.

(a)

Phosphorous-32 undergoes beta decay. Formulate a balanced nuclear equation for this process.

[1]

Markscheme

32P → 32S + 1 0 β 

 

Accept “e/e/β” instead of “ 1 0 β”.

[1 mark]

(b)

The half-life of phosphorus-32 is 14.3 days. Calculate the mass, in g, of 32P remaining after 57.2 days if the initial sample contains 2.63 × 10−8 mol. Use table 1 of the data booklet and Mr = 31.97 g mol−1.

[2]

Markscheme

ALTERNATIVE 1

«λ =  ln 2 14.3 =» 0.04847 «day–1»

«m(32P) = 2.63 × 10–8 mol × 31.97 g mol–1 × e–0.04847 × 57.2 =» 5.26 × 10–8 «g»

 

ALTERNATIVE 2

« 57.2 14.3 =» 4 «half-lives passed»

OR

«n(32P) =  2.63 × 10 8  mol 2 4 =» 1.64 × 10–9 «mol»

 

«m(32P) = 1.64 × 10–9 mol × 31.97 g mol–1 =» 5.26 × 10–8 «g»

 

Award [2] for correct final answer.

Accept any value in the range “5.24–5.26 × 10–8 «g»”.

[2 marks]

(c)

Explain the targeted alpha therapy (TAT) technique and why it is useful.

[3]

Markscheme

alpha-emitting isotopes/212Pb/225Ac attached to drugs/antibodies/chelating ligands/carriers

 

Award [2 max] for any two of:

absorbed by «cancer/growing» cells

OR

bind to «cancer/growing» cell receptors

 

alpha particles have high ionizing density/power

 

short-range of emission «of alpha-particles»

OR

healthy tissues less affected «as slower cell growth»

OR

local effect «on dispersed/spread/metastasised cancers»

 

Accept “radionuclide” for “isotope”.

Accept “alpha particles are highly ionizing”.

Accept “alpha particles have low penetrating power”.

Accept “used to treat dispersed/spread/metastasised cancers” OR “can be used to map the distribution of cancer cells in the body”.

[3 marks]