In this article, you will learn the physics definition of pressure, and how to apply this definition to a sample of gas. From this, you will learn how gases exert pressure on a container, and what possible applications this definition has.
Topics Covered in Other Articles
- Dalton’s Law of Partial Pressure
- Charles’ Law
- Avogadro’s Law
- Boyle’s Law
- The Ideal Gas Law
- Van der Waal’s Equation of State
- Combined Gas Law
What is Pressure – A Physical Definition
The physical definition of pressure is the total amount of force over a given area. This can be described by the equation , where is the total force, and is the area.
What is Pressure – A Gaseous Definition
Consider a sample of gas. In this sample of gas, there are many gas particles flying around in different directions, colliding off of each other and the walls of their container. These collisions is what causes pressure.
Consider what occurs when a single particle collides and bounces off of a wall at a speed . Assuming a perfectly elastic collision, this particle will accelerate by a factor of
. Considering Newton’s second, , we can then see how this acceleration would exert a force on the wall.
Now, consider once more the entire sample of gas. Each particle bounces off of the walls exerting a degree of force. We can sum this force over the surface of the entire wall to get the equation .
From this equation, we can then see how a sample of gas in a container has a specific pressure.
Applications of this Definition
This definition is less of a rigorous physics definition, and more of a way to see how gas can exert a pressure. However, this particle-based definition can help us understand later how some of the specific gas laws have been derived.