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Define (i) radioactivity; (ii) the half-life of a radioactive isotope - Leaving Cert Chemistry - Question b - 2010

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Define (i) radioactivity; (ii) the half-life of a radioactive isotope. Americium-241 is a radioactive isotope used in domestic smoke detectors. Americium-241 has a ... show full transcript

Worked Solution & Example Answer:Define (i) radioactivity; (ii) the half-life of a radioactive isotope - Leaving Cert Chemistry - Question b - 2010

Step 1

Define (i) radioactivity

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Answer

Radioactivity is the spontaneous random decay of a nucleus through disintegration or decomposition, releasing radiation such as alpha, beta, or gamma rays.

Step 2

Define (ii) the half-life of a radioactive isotope

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Answer

The half-life is the time taken for half of the radioactive isotopes in a sample to decay. This is often expressed mathematically as: t1/2=ln(2)λt_{1/2} = \frac{\ln(2)}{\lambda} where ( \lambda ) is the decay constant.

Step 3

Determine the value of A and the value of Z

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Answer

From the equation: \text{\textsuperscript{241}_{95}Am \rightarrow \textsuperscript{237}_{93}Np + \textsuperscript{4}_{2}He + energy}

  • The value of A (mass number) is 237 for neptunium (Np).
  • The value of Z (atomic number) is 93 for neptunium (Np).

Step 4

State one risk associated with exposure to alpha radiation

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Answer

Alpha particles can cause ionization in human cells, leading to DNA damage and an increased risk of cancer.

Step 5

Explain why occupants are not at risk from alpha radiation

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Answer

Occupants are not at risk from alpha radiation emitted by smoke detectors because alpha particles have low penetration power and cannot penetrate the skin. Additionally, they cannot travel far in air, reducing exposure risk.

Step 6

Explain whether americium-241 needs to be replaced regularly

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Answer

Americium-241 does not need to be replaced regularly since its half-life is over 400 years, meaning it decays very slowly and maintains its activity for a long time. As a result, smoke detectors can function properly for many years without the need for replacement of the americium-241.

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