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Question 23M.2.HL.TZ2.9cii

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Date May 2023 Marks available [Maximum mark: 3] Reference code 23M.2.HL.TZ2.9cii
Level HL Paper 2 Time zone TZ2
Command term Determine Question number ii Adapted from N/A
ii.
[Maximum mark: 3]
23M.2.HL.TZ2.9cii
(ii)

A sample of glass is irradiated with neutrons so that all the magnesium atoms become magnesium-27. The sample contains 9.50 × 1015 magnesium atoms.

The decay constant of magnesium-27 is 1.22 × 10−3 s−1.

Determine the number of aluminium atoms that form in 10.0 minutes after the irradiation ends.

[3]

Markscheme

N10 = 9.50 × 1015 × e−0.00122×60 seen ✓

N10 = 4.57 × 1015

So number of aluminium-27 nuclei = (9.50 – 4.57) × 1015 = 4.9(3) × 1015