Preview - Ideal Gas Laws - Connected Chemistry 2019

Putting our mathematical model to use

Congratulations to all of us!!! We developed a mathematical model using computational thinking!

  • We analyzed a real world phenomenon using a computational model.
  • We designed an experiment to find out the relationship between two variables.
  • We collected data and plotted our data points on a graph.
  • We used a computational data analysis tool to develop a mathematical equation.

 

We should now test the validity of our Pressure-Number equation through further experimentation! You can skip directly to the questions below.

Referenced Questions

These questions were answered in the previous steps. They are provided here for your reference.

A linear equation, like the one you developed in CODAP, takes the form y = mx + b where:

  • y is your dependent variable (Pressure)
  • x is your independent variable (Number of Particles)
  • m (or the slope of the moveable line) represents the rate of change (e.g., pressure per particle).
  • and b is where your line intercepts the y-axis. To make things even simpler, we can ignore this number for now.

 

What is the linear equation you developed in CODAP from data? Use P instead of y and N instead of x. Write it in the following form: P = m x N  (for example, P = 1.5 x N).

Questions

Please answer the questions below.

Using your Pressure-Number equation, calculate approximately how many particles you would need to have in the box to reach a pressure of about 500.

Test your prediction in the model by changing the initial number of particles. How many particles did you need to get the pressure to stabilize around 500?

Did your mathematical model predict the answer correctly? Were there any differences? If yes, what might have contributed to any differences between your prediction and the model?

Do you think this experiment validated your mathematical model? If your answer is "yes", explain why? If you say "no", explain what more we need to do. (min. 2 sentences)

Notes

These notes will appear on every page in this lesson so feel free to put anything here you'd like to keep track of.