Need help with constructing a model of radioactive decay with popcorn kernals

Constructing a model of radioactive decay using popcorn kernels can be a fun and engaging way to understand the concept. Here's how you can do it:

Materials needed:
1. Popcorn kernels (representing radioactive atoms)
2. A small container or cup
3. A tray or cloth to catch fallen kernels

Steps:
1. Start with a known quantity of popcorn kernels. This will act as your radioactive sample. For example, let's say you start with 100 kernels.
2. Place the kernels in the container or cup, representing the initial amount of radioactive atoms.
3. Now, shuffle or mix the kernels thoroughly to simulate random decay. You can use any method you prefer, such as shaking the container or stirring the kernels.
4. Using a random number generator, such as an online tool or rolling a dice, determine the number of kernels that decayed during the time interval you choose.
5. Remove the decayed kernels from the container and place them aside, symbolizing the decayed atoms.
6. Count the remaining kernels in the container, which represents the remaining radioactive atoms after the decay occurred.
7. Repeat steps 3-6 for subsequent time intervals until you have reached your desired number of iterations or when all the kernels have decayed.
8. Record the results of each iteration, including the number of decayed kernels and the remaining ones.
9. Plot the data on a graph, with the number of remaining kernels on the y-axis and the number of iterations or time on the x-axis.
10. Analyze the graph to observe the exponential decay pattern and draw conclusions about the half-life or decay constant of the radioactive process.

By following these steps, you can create a visual representation of radioactive decay using popcorn kernels. It allows you to observe and learn about the concept of exponential decay, where the rate of decay remains constant over time.