Ideal Gas Pressure Simulation

Ideal Gas Pressure Simulation

Ideal Gas Pressure Simulation

A 3D visualization of gas molecules colliding with container walls, demonstrating how pressure is generated through momentum transfer as described in kinetic theory.

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Simulation Overview

This simulation visualizes the behavior of gas molecules inside a cubic container. The molecules move randomly and collide elastically with the walls. Each collision transfers momentum to the wall, creating pressure. Use the controls below to adjust parameters and observe how they affect pressure.

⚙️ Gas Properties

Number of Molecules 50
Molecule Speed Medium
Container Size Medium

🎛️ Visualization

Show Velocity Vectors On
Show Collision Effects On
Simulation Speed Normal
Calculated Pressure
1.24
atm
Wall Collisions/sec
142
collisions
Average Momentum Transfer
2.8
×10⁻²³ kg·m/s
Average Molecule Speed
480
m/s

Physics Explanation

According to kinetic theory, pressure is generated when gas molecules collide with the container walls. In an elastic collision with the wall perpendicular to the x-axis:

  • Molecule's x-velocity reverses: vx → -vx
  • Change in momentum: Δp = -2mvx
  • Momentum imparted to wall: 2mvx

The force on the wall equals the total momentum imparted per unit time from all molecules. Pressure is this force divided by the wall area. In this simulation, you can see how changing the number of molecules, their speed, or the container size affects the calculated pressure.

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