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Brainstorming:
First, let me say that it is very difficult to beleive that the FCC offgas has no H2S in it. Be that as it may, you can do what you want quite easily by setting up an Excel spreadsheet:
(1) Select a horizontal row upon which to start. Label the first six columns (from left to right) as: 1, 2, 3, 4, 5, and 6.
(2) In row 2 (just beneath the starting row): enter "Component" in column 1, "Mol Wt" in column 2, "Btu/Lb" in column 3, "lbs/hr" in column 4, "lb-mols/hr" in column 5, and "Btu/hr" in column 6.
(3) In column 1 of row 3, enter "H2". In column 2 of row 3, enter the molecular weight of Hydrogen (which is 2). In column 3 of row 3, enter the heating value of Hydrogen in Btu/lb (either the gross heating value or the net heating value, whichever one you want)
(4) In column 1 of row 4, enter "N2". In column 2 of row 3, enter the molecular weight of Nitrogen (which is 28). In column 3 of row 3, enter the heating value of Nitrogen in Btu/lb (either the gross heating value or the net heating value, whichever one you want)
(5) Continue filling in columns 1, 2, and 3 for each of the 12 components in rows 3-14 just as you did for H2 and N2.
(6) In column 4, for each component, multiply your 27 tons/hr by the lbs/ton and then multiply by the wt % and then divide by 100 ... and enter the resulting lbs/hr for each component.
(7) In column 5, for each component, divide the lbs/hr by the molecular weight ... and enter the resulting lb-mols/hr for each component.
(8) In column 6, for each component, multiply the lbs/hr by the Btu/lb heating value ... and enter the resulting Btu/hr for each component.
(7) In column 1 of row 16, enter "Totals".
(8) In column 4 of row 16, sum the values in rows 3 through 14 of that column. That will give you the total lbs/hr which should convert to the 27 tons/hr that you started with (be it long tons, short tons or metric tons ... you didn't tell us which it was.)
(9) In column 5 of row 16, sum the values in rows 3 through 14 of that column. That will give you the total lb-mols/hr.
(10) In column 6 of row 16, sum the values in rows 3 through 14 of that column. That will give you the total BTU/hr.
(11) Divide the total lbs/hr by the total mols/hr, and you will have the overall molecular weight which you then enter in column 2 of row 16.
(11) Divide the total lbs/hr by the total Btu/hr, and you will have the overall heating value in Btu/lb which you then enter in column 3 of row 16. Please note that my term "heating value" is the same as your term "caloric value".
(12) Finally, multiply the total mols/hr by 379.482 scf/lb-mol and you will have the overall scf/hr at standard conditions of 60 [°]F and 1 atmosphere pressure. Then you can multiply scf/hr by 24 and then divide by 1,000,000 ... and you will have the overall MMSCF/D.
As a final note, you should have told us:
(a) Why your FCC overhead gas has no H2S in it.
(b) Whether you wanted the gross caloric value or the net caloric value.
(c) Whether you were giving us short tons/hr or long tons/hr or metric tons/hr.
(d) What the standard temperature and pressure was for your desired MMSCF/D.
Milton Beychok
(Contact me at www.air-dispersion.com)
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