V - Volume and Pressure Preview CT-STEM

Testing the validity of our mathematical model

As usual, let's put our mathematical model to a test and if our inverse plotted function approach paid-off!

Referenced Questions

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

Question 3.5

What is your mathematical model (equation) that explains your data the best?

Write it as: Pressure = coefficient / Volume

Questions

Please answer the questions below.

Question 4.1

According to your mathematical model, if we observe a pressure of 250, what would our volume be (approximately)?

Question 4.2

Were you able to validate your prediction within the model? Explain. (min 2. sentences)

Question 4.3

According to your mathematical model, what would pressure be if our container's volume is 5500?

Question 4.4

If you tried to validate your prediction with the model, you must have noticed that the largest volume allowed is 2970. Hence, we cannot test our prediction with the current version of the model.

Still, how confident are you in your prediction? Do you think your model would still be useful in situations that are not easily testable? Elaborate. (min. 3 sentences)

Question 4.5

Before finishing this lesson, let's return to our "marshmallow in the syringe" experiment.

Now that you completed your computational experiment and developed a mathematical model of Pressure-Volume in a gas container, did your thinking about this phenomenon change?

Please explain your final understanding verbally. But more importantly, please elaborate how your understanding is informed by your mathematical model? (min 3 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.