Definition 20.1University Physics — Year 1 · Chapter 20 — Kinetic Theory and the Perfect Gas
At the microscopic scale matter is made of molecules: 1mol contains NA=6.02×1023 of them, each about 0.3nm across; in a gas at ordinary conditions they are 3nm apart, move at hundreds of meters per second and collide every 70nm or so. At the macroscopic scale a system is described by a few state variables — pressureP, volume V, temperatureT, amount of substance n — that are averages over enormous numbers of molecules. A variable is extensive if it doubles when the system is doubled (V, n, mass, energy), intensive if it does not (P, T, density).
Examples
Example 20.8(Numbers for air)
Nitrogen at 300K: u=3×8.314×300/0.028=517m/s; hydrogen, 1930m/s; the heavier the slower, as 1/M. At 1bar and 300K, n∗=P/kBT=2.4×1025m−3: 24L per mole, 2.7×1022 molecules in a liter. A classroom of 200m3: 8300mol, 240kg of air.