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Determining the half-life of an isotope

  • 3 things to know
  • Components 01, 02 and 03

Overview

Recall questions on the protactinium generator method, correcting for background, reading a half-life from a decay curve or a logarithmic plot, keeping the geometry fixed, counting statistics, and handling precautions.

What you need to know

Answer each one before you reveal it.

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Key term

Outline how the half-life of protactinium-234 can be measured in a school laboratory.

Key term

Why must the count rate be corrected for background before the half-life is found?

Key term

How is the background count rate measured in a half-life experiment?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    Outline how the half-life of protactinium-234 can be measured in a school laboratory.

    Model answer

    The protactinium is separated into a solvent layer in a sealed bottle, the bottle is held against a Geiger–Müller tube, and the counts are recorded over successive equal intervals as the activity falls.

  2. 2

    Why is protactinium-234 a convenient isotope for a classroom half-life measurement?

    Model answer

    Its half-life is of the order of a minute, so the whole decay curve can be recorded within a single lesson.

  3. 3

    Why must the count rate be corrected for background before the half-life is found?

    Model answer

    Background counts add a constant offset that flattens the tail of the curve and makes the half-life come out too long.

  4. 4

    How is the background count rate measured for this experiment?

    Model answer

    Record the counts over a long interval with the source removed or shielded, then divide the total by that time.

  5. 5

    How is the half-life read from a graph of corrected count rate against time?

    Model answer

    Read several times at which the corrected rate has halved and average the intervals between them.

  6. 6

    Why is finding the half-life from a logarithmic graph more reliable than reading a single halving?

    Model answer

    A graph of the natural logarithm of the corrected rate against time uses every data point, so the random scatter is averaged out in the gradient.

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The two charges .
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