Virial Equation and its Advantages over Empirical Equations

Question

a)   Write the virial equation, truncated after the third term, in terms of molar volume.

b)   Explain the physical significance of each term in your written equation.

c)   For the general case of a gas mixture, what variables do each of these terms depend on?

d)   The virial equation can be written in terms of pressure or molar volume. Assuming both forms are of equal convenience, which is a better choice and why?

e)   For hard spheres, B = 2/3πNA σ3 where NA is Avagadoro’s number and σ is the diameter of a sphere. B is thus dependent of temperature. What is the physical interpretation of B in this case?

f)   What advantages does the virial equation have over empirical equations of state?

Summary

These questions belong to Chemical Engineering and they are about virial equation, truncated in molar volume. The physical significance of the terms in the equation, gas mixture variables of terms on depending on them, etc are given in the solution.

Total Word Count 219

 

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