BOUNCING PARTICLES

About

The Model

Our model is a model of the ideal gas law. The ideal gas law shows the behavior of gases based on pressure, temperature, the universal gas constant, the number of moles of gas, and the volume using the equation PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the universal gas constant, and T is temperature.

By changing the parameters (area of the canvas, number of particles, particle speed) and recording data, the user of the website can observe how pressure (represented by the number of collisions between particles and the walls of the container) is related to the other parameters. For example, in the formula PV = nRT, the number of moles if doubled while the other variables are constant. The user can try to observe this relationship with our model by collecting data with 10 molecules, and then with 20 molecules (while keeping other parameters constant).

The Controls

Below the canvas that displays data, there are also inputs that allow the user to modify the size of the canvas, the number of molecules, the time of data collection, and the speed of molecules to simulate changes in volume, temperature, and moles.

Area - the area of the canvas represents the volume of the container that the gas is in. This input allows the user to scale the canvas up and down. However, we are using 2-dimensional area in our model instead of 3-dimensional volume.

Number of molecules - the number of molecules represents the number of moles of gas, or the variable n. The user can change the number of of molecules. Although we don't have as many molecules as there would normally be, the user can still try to show that volume and the number of moles are proportional.

Speed of molecules - the speed of the molecules is related to the temperature, as temperature is the measure of the average kinetic energy of the gas molecules. To control the Kinetic Energy of the model, this input is a way for the user to change the speed, and therefore the kinetic energy/temperature of the model.

Sources

“Gas Temperature.” NASA, NASA, www.grc.nasa.gov/www/k-12/airplane/temptr.html.

Jircitano, Alan J. “Gas Laws.” Gas Laws, chemistry.bd.psu.edu/jircitano/gases.html.

Summers, Vincent. “How to Calculate Velocity From Temperature.” Sciencing, 2 Mar. 2019, sciencing.com/calculate-velocity-temperature-6234001.html.