Question

What is the Law of Corresponding States?

Answer 1

Hint: This question requires the knowledge of basic concepts of gas thermodynamics. This law allows the approval of synonymous states of various real gases according to the correction of basic characteristics of the gases. These include temperature, pressure and volume.

Complete answer:
The law of equivalent states is an empirical law that summarizes the discovery that when the equations of state for many real gases are written in terms of lower temperatures, pressures, and volumes, they are strikingly comparable.
In a recast simplified form of a constitutive equation, material constants that differ for each kind of material are omitted. Critical variables are used to define the reduced variables. According to van der Waals, the theorem of corresponding states (or principle/law of corresponding states) states that all fluids have roughly the same compressibility factor and all deviate from ideal gas behavior to about the same degree when compared at the same reduced temperature and reduced pressure.
Temperature has an inverse relationship with the compressibility factor. As a result, as the temperature rises, the variation from optimal behavior reduces. Every actual gas has a temperature at which the compressibility factor varies slightly and approaches one. At high pressures and temperatures, some gases obey ideal gas laws.

Note:
For an ideal gas, hence Z=1 at all temperatures and pressures. However, there is no such thing as an ideal gas. At all temperatures and pressures, gases with compressibility greater than 1 deviate from ideal gases in a positive way. At all temperatures and pressures, gases with compressibility less than 1 demonstrate a negative divergence from ideal gases.