Consider the following experimental critical point data: Substance P/atm Vem/L/mol T./K CO(g) Ne(g) P 73.8 0.0960...

 

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Consider the following experimental critical point data: Substance P/atm Vem/L/mol T./K CO₂(g) Ne(g) P₁ 73.8 0.0960 26.4 0.0417 P Although CO₂(g) and Ne(g) are quite different in their behaviors, their Ze values are quite close to one another. A generalization of this observation is the Law of Corresponding States that says if two different gases have the same reduced P. and T. then they will have the same V. where the reduced pressure, Pr, reduced Temperature, Tr, and reduced Volume, Vr are defined as Z = g(Pr, Tr) Where g is a universal function and T B=h=h(T.) V 304.2 44.5 me Z = cm respectively. Note that the reduced variables are all unitless. Another way of presenting the Law of Corresponding states is via the equation (2-24): V₁= f(Pr, Tr) (2-24) where f is a universal function i.e. the same function for all gases. This law is only approximately true. It holds best for molecules whose shapes are approximately spherical. In addition to the Law of Corresponding States there are related equations such as P.V RT 0.284 0.301 (2-23) (2.25) (2.26) Consider the following experimental critical point data: Substance P/atm Vem/L/mol T./K CO₂(g) Ne(g) P₁ 73.8 0.0960 26.4 0.0417 P Although CO₂(g) and Ne(g) are quite different in their behaviors, their Ze values are quite close to one another. A generalization of this observation is the Law of Corresponding States that says if two different gases have the same reduced P. and T. then they will have the same V. where the reduced pressure, Pr, reduced Temperature, Tr, and reduced Volume, Vr are defined as Z = g(Pr, Tr) Where g is a universal function and T B=h=h(T.) V 304.2 44.5 me Z = cm respectively. Note that the reduced variables are all unitless. Another way of presenting the Law of Corresponding states is via the equation (2-24): V₁= f(Pr, Tr) (2-24) where f is a universal function i.e. the same function for all gases. This law is only approximately true. It holds best for molecules whose shapes are approximately spherical. In addition to the Law of Corresponding States there are related equations such as P.V RT 0.284 0.301 (2-23) (2.25) (2.26)