Radioactive Decay Quiz
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Questions and Answers

What is the equivalent concentration of radon daughters that corresponds to 1 working level (WL)?

  • 3.7 Bq L–1
  • 100 pCi L–1
  • 1.3 × 10^5 MeV L–1
  • 200 pCi L–1 (correct)
  • How is exposure to radon daughters typically measured?

  • In working-level months (WLM) (correct)
  • In potential alpha energy concentration (PAEC)
  • In hours of exposure
  • In Becquerels (Bq)
  • What does the equilibrium factor of 0.5 imply about the relationship between radon and its daughters?

  • Radon and its daughters are in dynamic equilibrium.
  • Radon daughters are half as concentrated as radon. (correct)
  • Radon concentration is equal to that of its daughters.
  • Radon is more concentrated than its daughters.
  • In secular equilibrium, what is true about the potential alpha energy per unit activity of radon daughters?

    <p>It is independent of the actual concentration of the daughters.</p> Signup and view all the answers

    What decay constant λ corresponds to the nuclide 218 Po?

    <p>3.79 × 10–3 s–1</p> Signup and view all the answers

    What is the potential alpha-particle energy associated with the nuclide 214 Pb?

    <p>7.69 MeV</p> Signup and view all the answers

    How is the number of atoms N related to the activity A and decay constant λ?

    <p>N = A/λ</p> Signup and view all the answers

    Which nuclide has the highest activity concentration among those listed?

    <p>222 Rn</p> Signup and view all the answers

    What is the half-life T of the nuclide 218 Po used to calculate its decay constant?

    <p>183 s</p> Signup and view all the answers

    Which nuclide has the highest potential alpha-particle energy?

    <p>214 Po</p> Signup and view all the answers

    Which equation correctly represents the calculation of PAEC using decay products?

    <p>PAEC = Σ(N × E)</p> Signup and view all the answers

    What is the activity concentration of the nuclide 214 Bi?

    <p>76 Bq m–3</p> Signup and view all the answers

    What is the equilibrium factor defined as?

    <p>The ratio of EEDC to the concentration of radon</p> Signup and view all the answers

    For most indoor atmospheres, what is the typical range for equilibrium factors?

    <p>0.2 to 0.6</p> Signup and view all the answers

    Which radon isotope has the longest half-life?

    <p>222 Rn</p> Signup and view all the answers

    What is the primary reason 220 Rn has a lesser radiological importance compared to 222 Rn?

    <p>It has a much shorter half-life</p> Signup and view all the answers

    What is the half-life of actinon, also known as 219 Rn?

    <p>4 s</p> Signup and view all the answers

    Which of the following statements is true about the contributions of the daughters of 220 Rn to lung dose?

    <p>They are negligible compared to 222 Rn</p> Signup and view all the answers

    Radon is a member of which naturally occurring series primarily discussed?

    <p>Uranium series</p> Signup and view all the answers

    Which nuclide is responsible for producing 220 Rn?

    <p>232 Th</p> Signup and view all the answers

    Which of the following alpha emitters is a daughter of 222 Rn?

    <p>218 Po</p> Signup and view all the answers

    What is the primary health risk associated with radon and its daughters?

    <p>Lung cancer</p> Signup and view all the answers

    How far does a 7.69 MeV alpha particle from 214 Po deposit its energy in tissue?

    <p>70 µm</p> Signup and view all the answers

    What does PAEC stand for in the context of radon exposure?

    <p>Potential alpha-energy concentration</p> Signup and view all the answers

    What does the 'radon problem' primarily refer to?

    <p>Alpha-particle irradiation of lung tissue</p> Signup and view all the answers

    Compared to alpha particles, how does the energy deposition from beta particles differ?

    <p>It deposits energy over a much larger distance.</p> Signup and view all the answers

    What is the typical air concentration measurement for radon daughters referred to as?

    <p>Potential alpha-energy concentration</p> Signup and view all the answers

    How far does a 1-MeV beta particle from 214 Bi deposit its energy?

    <p>4000 µm</p> Signup and view all the answers

    What is the calculated number density of 218 Po atoms given an activity density of 93 Bq m–3 and a decay constant of $3.79 \times 10^{-3}$ s–1?

    <p>$2.45 \times 10^{4}$ m–3</p> Signup and view all the answers

    What is the total potential alpha-particle energy per unit volume contributed by each 218 Po atom?

    <p>13.69 MeV</p> Signup and view all the answers

    How is the potential alpha-particle energy per unit volume for 218 Po calculated?

    <p>By multiplying number density by the total energy per atom</p> Signup and view all the answers

    What is the contribution of 214 Po to the PAEC, given its very short half-life?

    <p>Negligible due to low atom presence</p> Signup and view all the answers

    What does PAEC stand for in the context of the discussed activity densities and energies?

    <p>Potential Alpha Particle Energy Concentration</p> Signup and view all the answers

    Under secular equilibrium, how is the Effective Energy Density Concentration (EEDC) defined?

    <p>Activity concentration that matches PAEC values</p> Signup and view all the answers

    What would be the main difference in calculating PAEC for different nuclides?

    <p>The energy associated with each atom</p> Signup and view all the answers

    What is the final calculated PAEC value derived from the contributions of the nuclides?

    <p>$2.95 \times 10^{6} MeV m^{-3}$</p> Signup and view all the answers

    Study Notes

    Radioactive Decay and Radon Daughters

    • Radon Decay Products: 222 Rn decays into several short-lived daughters, including 218 Po and 214 Po, which are alpha emitters.
    • Alpha vs Beta Particle Energy: An alpha particle from 214 Po deposits 7.69 MeV of energy within approximately 70 µm of lung tissue, while a 1-MeV beta particle from 214 Bi spreads its energy over about 4000 µm.
    • Health Risk: The primary health hazard from radon is associated with alpha-particle exposure to sensitive lung tissues, increasing the risk of lung cancer.

    Potential Alpha Energy Concentration (PAEC)

    • Definition: PAEC indicates the amount of alpha energy per unit volume in undisturbed air from radon daughters decaying to 210 Pb.
    • Units: PAEC can be expressed in J m⁻³ or MeV m⁻³.
    • Equilibrium-Equivalent Decay-Product Concentration (EEDC): Represents the concentration of decay products if secular equilibrium exists, calculated from PAEC.

    Equilibrium Factor

    • Definition: The ratio of EEDC to the concentration of radon; it equals 1 under secular equilibrium conditions.
    • Typical Values: Most indoor atmospheres exhibit equilibrium factors between 0.2 to 0.6, commonly using 0.5 as a rule of thumb.

    Radon Isotopes

    • Additional Isotopes: Radon is also produced in the thorium (220 Rn) and actinium (219 Rn) series, but contributions to lung dose from these isotopes are minimal.
    • 220 Rn: Known as thoron, has a shorter half-life (56 s) than 222 Rn (3.82 d), resulting in it decaying more quickly before becoming airborne.
    • 219 Rn: Also termed actinon, has a very short half-life of 4 s and is insignificant in terms of airborne radon.

    PAEC Calculation Example

    • Daughter Nuclides Activity: For specific activities (in Bq m⁻³):
      • 222 Rn: 120 Bq m⁻³
      • 218 Po: 93 Bq m⁻³
      • 214 Pb: 90 Bq m⁻³
      • 214 Bi: 76 Bq m⁻³
      • 214 Po: 76 Bq m⁻³
    • Calculation Method: Calculate the number of daughter atoms per unit volume and multiply by their potential alpha-particle energy, then sum for total PAEC.
    • Final PAEC: In a specific example, PAEC calculated is 2.95 × 10⁶ MeV m⁻³.

    Working Levels (WL) and Exposure Metrics

    • WL Definition: A working level is a potential alpha-particle energy concentration of 1.3 × 10⁵ MeV L⁻¹, correlating to 100 pCi L⁻¹ in secular equilibrium.
    • WLM Calculation: Working-level months (WLM) quantify integrated exposure over a time period, with a working month defined as 170 hours.
    • Radon Concentrations: A rule of thumb suggests that 1 WL of daughters corresponds to approximately 200 pCi L⁻¹ of radon, reflecting an equilibrium factor of 0.5.

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    Description

    Test your knowledge on the process of radioactive decay, focusing on the decay of Radon-222 and its alpha-emitting daughters like Polonium-218 and Polonium-214. Understand how these particles interact with lung tissue and the implications of their energy deposition. This quiz covers key concepts in nuclear physics and radiation health.

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