| Name: |
Oneeq6a - Gas Volume from
Beattie Bridgeman Equation of State - Original Form |
| Source: |
Carnahan, B., Luther, H. A.
and Wilkes, J. O., 1969, |
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Applied Numerical Methods, Wiley, New York |
| Reference/s |
Shacham, M. 1989, Chem.
Engng. Sci., 44(7), 1495 |
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| Model: |
1 implicit equation, indep.
variable name: V |
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3 explicit equations |
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Average difficulty level |
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Constraints:V>0 |
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Discontinuities: function
undefined for V=0 |
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Initial range: Vmin=0.1, Vmax=1.0 |
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| Solved by |
Shacham, M., POLYMATH 5.1,
build 19, Nov. 17, 2000 |
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| Model Eqs. |
Gas Volume from Beattie Bridgeman
Equation of State - Original Form |
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EXCEL
FILE |
f(V)=R*T/V+Beta/(V*V)+Gama/(V*V*V)+Delta/(V*V*V*V)-P |
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TEXT
FILE |
R=0.08205 |
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POLYMATH
FILE |
T=273.0 |
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B0=0.05587 |
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A0=2.2769 |
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C=128300.0 |
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A=0.01855 |
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B=-0.01587 |
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P=100.0 |
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Beta=R*T*B0-A0-R*C/(T*T) |
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Gama=-R*T*B0*B+A0*A-R*C*B0/(T*T) |
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Delta=R*B0*B*C/(T*T) |
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V(min)=0.1, V(max)=1.0 |
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| Variable/function values |
Variable |
Value |
f(x) |
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V |
0.2 |
-1.0471E+01 |
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Beta |
-1.166679 |
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Gama |
0.054206 |
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Delta |
-0.000125 |
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| Root |
Variable |
Value |
f(x) |
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V |
0.174749531708621 |
-7.11E-14 |
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Beta |
-1.166678787120860 |
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Gama |
0.054205816343558 |
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Delta |
-0.000125237833409 |
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| Additional information |
Derivative based methods will
converge slowly if started from small V |
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values and will reach negative
values when started from too large V. |
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Discontinuity at V=0 may prevent
returning from negative to positive |
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values of V. |
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| Function plot |
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