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This is the best copy of this document we can find.  It is a copy of a water damaged original.  Most of the report is legible.

Translations of German Documents on Mathematical Expressions for Thermodynamic Relationships and the Calculation of Yields in the Fischer-Tropsch Synthesis - 1947

Brinkley, R.
Oppenheimer, W.

U.S. Department of the Interior
Bureau of Mines
Office of Synthetic Liquid Fuels
Research and Development Division

Table of Contents

Page
???? iv
Tom Reel 134, Navy 5811, Item Ib-1, Thermodynamic Expressions ???? Formation and Stability of Hydrocarbons 462kb 1
???? 1
???? considerations 1
????tions 3
???? for cracking and condensation 6
Tom Reel 134, Navy 5811, Item Ib-2, On the Thermodynamics of the Fischer- Tropsch synthesis 725kb 9
Summary 9
Introduction 9
Equilibrium constants 10
Synthesis of butane by the Fischer-Tropsch reaction 13
Effect of introducing an inert gas 17
Effect of introducing water vapor 16
Effect of excess of hydrogen 20
Synthesis of octane by the Fischer-Tropsch reaction 21
Effect of introducing inert gas 23
Effect of introducing water vapor 24
Effect of excess hydrogen 25
Effect of excess CO in the synthesis gas 26
Yield based on hydrogen 27
Discussion of results 28
Conclusion 30
Tom Reel 134, Navy 5811, Item Ib-3, Calculation of Gas Consumption and synthesis Course in the Hydrogenation of Carbon Monoxide 1769kb 32
Summary 32
Introduction 32
Introduction to the mathematical procedure 32
Discussion of the notation 33
The residual volume, R 33
Description of characteristic variables 33
Characteristic variables for CO+H2 conversion 34
Explanation of selection of symbols 35
Calculations for the hydrocarbon synthesis from gas analysis data 36
Three fundamental rules for all gas analysis calculations 36
Algebraic interpretation of the three rules 37
The two fundamental stoichiometric equations 37
Calculation of the intermediate variables 38
Calculation of the residual volume from the nitrogen content 39
The n-R equation 40
Application and validity of the correlation between characteristic and intermediate variables 41
Calculation of characteristic variables 45
Conversion and usage ratio 45
Formation of methane 45
Yield of higher hydrocarbons 50
Determination of hydrogen-carbon ratio and of oxygenated ????ounds in the products 53
Reasons for extending the evaluations 53
Calculation of Oxygenated groups from gas analysis data 54
Chemical investigation of the products formed 54
Combustion 54
Precise fractional distillation and chemical analysis 55
Application of the formulas derived 58
Evaluation of gas analysis and synthesis data 58
General course of calculations 58
Checking the results 59
Use of work sheets 64
Calculations for the prediction of the course of a synthesis 65
Uniform use of symbols 65
Tom Reel 134, Navy 5811, Item Ib-4, Calculation of Yield for Higher Hydrocarbons, Based on Recent Methods 314kb 70
Summary 70
Introduction and explanation of symbols 70
The CO yield 71
Ideal gas yield 71
Limiting yield and fundamental molar constant 72
The fundamental molar constant 72
The analysis contraction 74
Separation of oxygenated compounds into the CH-radical and water or oxygen contraction 74
Use of abbreviations in formulas 77
Appendix 77

Illustrations


Figure

 Following
Page
1 Free energy of formation of several paraffin hydrocarbons at 1 atmosphere 2
2 Free energy of formation of several paraffin hydrocarbons at 100 atmospheres 3
3 Free energy of formation of benzene and cyclohexane at 1 atmosphere 4
4 Free energy of formation of benzene and clyclohexane at 100 atmospheres 4
5 Free energy of formation of several olefins at 1 atmosphere 5
6 Free energy of formation of several olefins at 100 atmospheres 5
7 Free energy of formation of n-octane and cleavage at 1 atmosphere 6
8 Graphic representation of characteristic variables 34
9 The yields as functions of the residual volume 45
10 The ß factor for the calculation of pure methane 47