In the discussion on gas expansions, it is established that for two diabatic expansions of gases A and B, if slopeA is greater than slopeB, gas A is monoatomic and gas B is diatomic. The relationship between pressure (P) and volume (V) during an adiabatic change is defined by the ratio of specific heats, γ = Cp/Cv. The slope of the PV graph during an adiabatic expansion is negative, indicating an inverse relationship between pressure and volume. The derivative dP/dV at a given point on this graph reflects the rate of change of pressure with respect to volume. Understanding these relationships is crucial for analyzing gas behavior in thermodynamic processes.