# Find the derivation of the formula for the molecular-kinetic formula of a gas.

August 24, 2021 | education

| **Find the derivation of the formula for the molecular-kinetic formula of a gas. Calculate the pressure exerted on the wall of the vessel with nitrogen, if V2 = 5 × 10 ^ 5m / s, and the speed is 1.25kg divided by m3.**

Gas pressure p is determined by the formula: p = 1/3 * n * m0 * v ^ 2, where n is the concentration, m0 is the mass of molecules, v is the average velocity.

Since n * m0 = ρ, where ρ is the gas density, we substitute it into the first equation and get:

p = 1/3 * ρ * v ^ 2 = 1/3 * 1.25 * (5 * 10 ^ 5) ^ 2 = 1/3 * 1.25 * 25 * 10 ^ 10 = 10.4 * 10 ^ 10 Pa

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