Learning Aims:
  • To measure radioactive decay
  • To determine the decay constant
  • To calculate the half-life time
Materials:
  • A computer with internet connection
  • A radioactive isotope generator
  • A detection device: a Geiger-Müller counter or data-logger with a radiation sensor and software (Coach 6)
Suggestions for use:

Here students focus on the process of radioactive decay.

In activity 1 students simulate the process of radioactive decay and learn that it is a random process.

In activity 2 they explore a given radioactive decay model and determine the function, which describes the radioactive decay.

In activity 3 the radioactive decay law, the decay constant and the half-life time are introduced.

In activity 4 students measure the activity of a radioactive isotope. Based on the measured results they determine the decay constant and calculate the half-life value. The short-lived radioisotope Ba-137m is very suitable for measuring and by using a Cs-137/Ba-137m Isotope Generator easy to make. The isotope generator Barium 137m contains Cesium-137 as the long parent nuclide, which has a half-life of 30.25 years. Cs137 decays, by emission of beta radiation, into stable isotope Ba137. This transition is partly affected (approx. 5%) by direct conversion into stable isotope Ba137 and partly (95%) via the metastable energy state of Ba137m. In the experiment Ba is “milked” out of the Isotope Generator by pressing eluting solution through the generator.
The half-life of Barium-137m is approximately 153 seconds (2.55 minutes).

Exemplary data of the Barium-137m radioactive decay:

measurement with MoLab data-logger and ML26m Radiation sensor, the coefficient of exponential function is l = 0.272, the half-time t1/2= ln2/l=0.6931/0.272=2.548 min.

In activity 5, students modify the model of activity 2 to create a model of radioactive decay of the isotope used in their experiment and compare the model data with the experimental results.

Possible questions:
  • Which function describes the radioactive decay?
  • What is the decay constant?
  • What is the half-life?
  • What does it mean that radioactive decay is a random process?
  • How do you measure radioactive decay?
  • How do you model radioactive decay?