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Question 40 of 46 in Radioactivity

Radioactivity

4 marks · Normal

Potassium-40 is an unstable isotope present in the human body. Its nucleus can decay by emitting a beta minus particle, turning into calcium-40.

(a)

Write a balanced nuclear equation for this beta minus decay. Supply all atomic numbers and mass numbers.

[2 marks]
(b)

Describe the changes in the atomic number and mass number that occur in the nucleus during this decay.

[1 mark]
(c)

Explain why potassium-40 is unstable in terms of neutrons and nuclear stability.

[1 mark]

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(a) · must show Correct atomic numbers and mass numbers for both isotopes and beta particle

(b) Atomic number increases by 1, mass number remains the same. · must show state effect on A and Z

(c) An imbalance between neutrons and protons makes the nucleus unstable; potassium-40 has more neutrons than stable potassium isotopes, causing decay. · must show reference to imbalance of neutrons and protons causing instability

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Marking points

M1 (a) · 1 mark · Correctly writes Ca as product with correct numbers

A1 (a) · 1 mark · Complete equation with all symbols, including beta and energy

B1 (b) · 1 mark · States atomic number up by 1, mass unchanged (or equivalent)

B2 (c) · 1 mark · Refers to neutron-proton imbalance and instability

Worked solution

a) Nuclear equation:

b) Atomic number increases by 1 (from 19 to 20), mass number remains at 40.

c) Potassium-40 is unstable because it contains more neutrons than the most stable isotope, making the nucleus prone to beta decay to reach a more stable balance.

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