The discussion focuses on the mathematical equation for the deviation from ideality of real gases, specifically the compressibility factor Z, which is defined as Z = PV/RT, where V is the molar volume. The Principle of Corresponding States indicates that Z is a function of reduced pressure (P/P_C), reduced temperature (T/T_C), and the acentric factor (ω). Additionally, the discussion addresses how changing the x-axis to volume (V) would alter the graphical representation of this relationship. References to authoritative texts such as P.W. Atkins' "Physical Chemistry" are suggested for further understanding.
PREREQUISITESThis discussion is beneficial for students and professionals in physical chemistry, particularly those studying thermodynamics and the behavior of real gases.
The vertical axis is labelled incorrectly. It should read $$\frac{PV}{RT}$$where V is the molar volume. This is called the compressibility factor Z. According to the Principle of Corresponding States, Z is a function of the reduced pressure ##P/P_C##, the reduced temperature ##T/T_C##, and the ascentric factor ##\omega##, where the subscript C indicates the value at the critical point and where ##\omega## varies with the specific gas. Graphs of Z as a function of reduced temperature, reduced pressure, and ascentric factor can be found in most thermo books.phantomvommand said: