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Checking a Decay Signal After Dilution 4 questions

Checking a Decay Signal After Dilution

Base your answers on the information provided and your knowledge of chemistry. Use the 2025 Chemistry Reference Tables as needed.

A classroom decay simulation distributes parent particles evenly in a liquid model. It reports expected decay events over the same short interval from the whole container or from a small portion, using the same detection efficiency. An instantaneous dilution step doubles the liquid volume and keeps the same number of parents. The chance of decay per parent over the interval stays fixed.

Record before dilutionReading
Liquid volume in the container200 mL
Portion volume20 mL
Expected decay events per interval from the whole container120
Decay events per interval expected from the portion12

Question 1

Immediately after dilution, what fraction of the parent particles is in a 20 mL portion?

  1. 1/20
  2. 1/10
  3. 1/2
  4. All of them

Question 2

Predict the expected event counts from the whole container and a 20 mL portion immediately after dilution.

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Question 3

A student sees the smaller portion reading and says the dilution caused one half-life to pass. Use the whole-container prediction to evaluate the claim.

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The container remains at 400 mL. At a later check, its expected whole-container reading has fallen from 120 to 60 events per interval.

Question 4

Predict the expected reading of a 20 mL portion at the later check. Explain how this later change differs from the immediate dilution step.

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