# 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