Application of the Virial Equations

2 forms of virial expansion are infinite series.

1. Z=1+B^' P+C^' P^2+D^('P^3 )+⋯
   
2. Z=1+B/V+C/V^2 +D/V^3 +…
   

• B^'= B/RT
  
• C^'=(C-B^2)/〖(RT)〗^2
  
• D^'= (D-3BC+2B^3)/〖(RT)〗^3
  

When we derive the relations, set Z = PV/RT and solve for P.

Reference

Smith, J. M., and Ness H. C. Van. Introduction to Chemical Engineering Thermodynamics. New York: McGraw-Hill, 1987. Print.