Physic Labs
Step 1 of 3: The ideal-gas equation of state
Intuition

View the gas as a swarm of molecules ricocheting off the walls: pressure is the 'pounding' per unit area, volume is the 'playing room', and temperature is the average 'ferocity' of the collisions.

PV=nRTPV = nRT
Analysis

For a sufficiently dilute gas (low density), both experiment and kinetic theory give the same relation among the three macroscopic variables: pressure times volume equals the mole number times the gas constant R=8.314 J mol−1K−1R = 8.314\ \mathrm{J\,mol^{-1}K^{-1}} times the absolute temperature. This is the equation of state — every individual gas law (Boyle, Gay-Lussac, Charles) is a special case of it.