Consider a vessel filled with a highpressure gas Ideal gas t

Consider a vessel filled with a high-pressure gas. Ideal gas treatment is not acceptable and a compressibility factor must be used. Assume you would like to solve for the mixture pressure and you are given the mixture volume, temperature, and molar composition. To ensure no iteration is required in the solution, would you determine the compressibility factor using either:

a) Amagat\'s Law

b) Dalton\'s Law

c) Both would require iteration

Solution

c) Both would require iteration

Both Amagat\'s and Dalton\'s Laws predict the properties of gas mixtures. Their predictions are the same for ideal gases. However, for real (non-ideal) gases, the results differ.Dalton\'s Law of Partial Pressures assumes that the gases in the mixture are non-interacting (with each other) and each gas independently applies its own pressure, the sum of which is the total pressure. Amagat\'s Law assumes that the volumes of the component gases (again at the same temperature and pressure) are additive; the interactions of the different gases are the same as the average interactions of the components