PV = (1/3)Nm(c^2) and P=1/3ρ(c^2) derivation. A Level Physics A-A*

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Lesson Objectives: To derive the formula PV = (1/3)Nm(c^2) and P = 1/3ρ(c^2). This is usually covered the Kinetic and Molecular theory of Gases part of the course.

Description: In this video I outline how to derive both formulas. This is a long proof and I suggest you look for key steps when remembering it.
First look at the rate of change of momentum to get the force and then get pressure by using P = F/A.
Then you want to get rid of the time by looking at the velocity of one of the particles.
Then adapt the formula for N particles
Finally the mean square speed should be incorporated

Prior knowledge videos: Ensure that you understand why a gas can exert pressure

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keep posting your vids are really helpful!

aru