Oneeq6b

Name: Oneeq6b - Gas Volume from Beattie Bridgeman Equation of State - Revised Form
Source: Carnahan, B., Luther, H. A. and Wilkes, J. O., 1969, Applied Numerical Methods,
  Wiley, New York
Reference/s Shacham, M. 1989, Chem. Engng. Sci., 44(7), 1495
       
Model: 1 implicit equation, indep. variable name: V
  3 explicit equations
  Lower difficulty level
  Constraints:V>0
  Initial range: Vmin=0.0, Vmax=1.0
       
Solved by Shacham, M., POLYMATH 5.1, build 19, Nov. 17, 2000
       
Model Eqs. Gas Volume from Beattie Bridgeman Equation of State - Revised Form

EXCEL FILE 

f(V) = R*T*V^3+Beta*V^2+Gama*V+Delta-P*V^4

TEXT FILE 

R=0.08205

POLYMATH FILE 

T=273.0
  B0=0.05587
  A0=2.2769
  C=128300.0
  A=0.01855
  B=-0.01587
  P=100.0
  Beta=R*T*B0-A0-R*C/(T*T)
  Gama=-R*T*B0*B+A0*A-R*C*B0/(T*T)
  Delta=R*B0*B*C/(T*T)
  V(min)=0.0, V(max)=1.0
       
Variable/function values Variable Value f(x)
  V 0.2

-1.6754E-02
  Beta -1.166679  
  Gama 0.054206  
  Delta -0.000125  
       
Root Variable Value f(x)
  V

0.174749600398905
-4.32E-14
  Beta

-1.166678787120860
 
  Gama

0.054205816343558
 
  Delta

-0.000125237833409
 
       
Additional information Multiplication of both sides of the equation by V4 removes the
  discontinuity at V=0 and makes the problem much easier to solve
       
Function plot