| 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 | ||
| f(V) = R*T*V^3+Beta*V^2+Gama*V+Delta-P*V^4 | |||
| R=0.08205 | |||
| 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 |
|
|
| Beta | -1.166679 | ||
| Gama | 0.054206 | ||
| Delta | -0.000125 | ||
| Root | Variable | Value | f(x) |
| V |
|
-4.32E-14 | |
| Beta |
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| Gama |
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| Delta |
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| 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 | |||