Oneeq6a

Name: Oneeq6a - Gas Volume from Beattie Bridgeman Equation of State - Original 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

 

Average difficulty level

 

Constraints:V>0
  Discontinuities: function undefined for V=0
  Initial range: Vmin=0.1, 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 - Original Form

EXCEL FILE 

f(V)=R*T/V+Beta/(V*V)+Gama/(V*V*V)+Delta/(V*V*V*V)-P

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)=0.1, V(max)=1.0
       
Variable/function values Variable Value f(x)
  V 0.2

-1.0471E+01
  Beta -1.166679  
  Gama 0.054206  
  Delta -0.000125  
       
Root Variable Value f(x)
  V

0.174749531708621
-7.11E-14
  Beta

-1.166678787120860
 
  Gama

0.054205816343558
 
  Delta

-0.000125237833409
 
       
Additional information Derivative based methods will converge slowly if started from small V
  values and will reach negative values when started from too large V.
  Discontinuity at V=0 may prevent returning from negative to positive
  values of V.
       
Function plot