Practice Laws Of Radioactive Decay (6.2) - Atoms and Nuclei

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6 sample questions

Question 1.
What is radioactive decay?
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Think about nuclear instability.
Question 2.
Define half-life.
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It involves halving the quantity.
3Question 3.
What is the equation representing the number of undecayed nuclei?
- N(t) = N₀ e^(λt)
- N(t) = N₀ e^(-λt)
- N(t) = N₀ + λt
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Remember the exponential decay model.
4Question 4.
True or False: The decay constant (λ) is a measure of the stability of a nucleus.
- True
- False
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Consider what high decay values signify.
Question 5.
A sample contains 800 atoms of a radioactive isotope with a decay constant of 0.346 year⁻¹. Determine how long it will take for only 100 atoms to remain.
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You'll have to apply logarithmic methods to isolate t.
Question 6.
If a radioactive isotope has a half-life of 20 years, how much of a 500g sample will remain after 80 years? Explain your reasoning step-by-step.
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Count the number of half-lives in 80 years first, then calculate accordingly.

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