-
epiLO&ue
With apologies to: "Ozymandias" by Percy Bysshe Shelley,
1792-1822
I met a traveller from a Northern land
who said: Four vast and cabless rims of chrome
stand in the desert... Near them, on the sand
half sunk, some rusted metal lies, whose frame,
and sparking tip, and gears of cast compound
tell that its owner well those fashions led
which yet survive, stamped on these lifeless things,
by glossy ad extolled and iso-octane fed.
And on the engine block these words appear:
"My name is Suv-Humongous, King of Kings:
Look on my power, ye mighty, and despair!"
Nothing beside remains.
Round the decay of that colossal wreck,
boundless and bare
the lone and level sands stretch
faraway...
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IND6X
A Absolute pressure and temperature 31-34 Accumulation
energy balance 160 example calculation
population 10,239 recycle material balance 134,136
unsteady-state
energy balance 240,244 material balance 239,243 M&E balance
241,245,247
water in reservoir 9 general balance equation 6,13 material
balance 98 non-process elements 131 recycle loops 131
unsteady-state processes 236
Activity 42,55 Adiabatic
batch equilibrium reactor 214 flame temperature 184
example calculation 206 flash separation
example calculation 218 process
energy balance 176 pump, heat, decompose water 170 silver-zinc
battery 165 simultaneous M&E balance 225
work (power) in compression/expansion 175 Adsorption isotherm 49
Albedo 248 Amagat'slaw 34
Ammonia production 225 Ammonium nitrate production 91 Antibiotic
production 87,142 Antoine equation 44,48
Antoine constants (table) 45 example calculation
bubble point and dew point 49 Raoult'slaw 46 vapour pressure of
water 36
Atmosphere example calculation
Earth, carbon balance 103,149 global warming 247
pressure equivalents (table) 31 Atom/element balance 9,16,99
combustion reaction 180 example calculation
biochemical process 142 combustion process 152 direct methanol
fuel cell 18 environmental process 149 thermal power generation
204,205
general balance equation 9
B Batch process 14,100,236,239 Batch reactor
example calculation energy balance, electric battery 165
equilibrium vs. actual conversion 57 material balance 100
simultaneous M&E balance 214 unsteady-state M&E balance
241
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258 Material and Energy Balances for Engineers and
Environmentalists
Battery 165,175,176 example calculation, energy balance 165
Bernoulli equation 169 Biochemical process 1
example calculation material balance 142 M&E balance 198
Biological system 236 Biomass
example calculation material balance, ethanol 149 M&E
balance, global warming 247
heat of combustion 180 Blower 89 Bubble-point (and dew-point)
47,48
example calculation 49
C Capital cost 92,93 Carbon dioxide
carbon cycle ethanol from biomass 149 global warming 247
material balance atmosphere of Earth 103,149,249 direct methanol
fuel cell 17 internal combustion engine 11 space station 102
Chemical equation 51 Chemical process 1,2,170,171,207,208,236
Chemical reaction 51,90
conversion, extent, selectivity, yield 53,117 energy balance
174,183,195 equilibrium constant 55 equilibrium vs. actual
conversion 56,57 homogeneous vs. heterogeneous 69 material balance
57,117 reaction rate (kinetics) 56,57,117 simultaneous M&E
balance 214 stoichiometry, limiting reactant 51
Circular reference (spreadsheet) 138 Clausius-Clapeyron equation
44 Climate change 1,216
greenhouse effect 246 example calculation 247 water vapour from
jet engine 19
Closed system 14,100,239 example calculation
energy balance 163,164,165,240 material balance 100,239 M&E
balance 241 simultaneous M&E balance 213,214
Closure 118 energy balance 179,184 example calculation 131,134
iteration of recycle balance 131,138,184 mass balance 118,131
Combustion 180,181 dew point, product gas 48 energy balance 180
example calculation
dew point 49 limiting reactant, ethane 53 material balance,
ethane 152 material balance, gasoline 11 M&E balance, fuel oil
204
Component 88,89 Composition 88,89 Compressibility factor 38
Compression/expansion of ideal gas 175 Compressor 174,175
example calculation 191,201 Computer 86
energy balance 178 material balance 138,140,141 M&E balance
216
Concentration common measures (table) 42
Conceptual flowsheet 86,87,93 Condensation 35,44,45,48
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Index 259
Conservation (elements, mass, energy) 8,9 Conserved and changing
quantities 7, 9 Continuous process 103,166,215,243 Continuous
reactor 112,117 Convergence (iteration) 138,183 Conversion
54,117
example calculation combustion process 152 continuous stirred
tank reactor 117 equilibrium vs. actual 57 extent, selectivity and
yield 54 material balances 127-141 M&E balance 224,225
Critical temperature and pressure 38 common gases (table) 38
D Dalton'slaw 34,47 Degrees of freedom 36,122,127,176,177
energy balance (table) 176,177 example calculation
energy balance 198,201,204 material balance 124,128 M&E
balance 227,230 phase rule 37
material balance (table) 127 simultaneous M&E balance 212
thermodynamic, phase rule 36
Density 39,41 Design problem 123,212 Dew-point (and
bubble-point) 47,48
example calculation 49,152 with non-condensable gas 48
Differential balance 13,104,160,166,168, 236,246 example
calculation
atmosphere of Earth 247 batch heater 240 batch reactor 58,241
continuous mixer 243,244
continuous mixer/heater 245 population 239
Differential equation 13,239 Dimensions and units 24,26,28
example calculation 27,29 M&E balances (table) 25
Direct contact heat exchanger 222 Dispersion 69 Distribution
coefficient 56
common L/L systems (table) 50 example calculation
antibiotic production 142 L/L equilibrium separator 115
Divider 88,89 example calculation
energy balance 184 material balance 108
generic material balance 105 subsidiary relations 113
E Earth 1,2
carbon dioxide in atmosphere 103,247 climate change 246 M&E
balance 152,216,247 population 239
Ecological system 86,216 Economic viability 92,93 Electrical
work (power) 162,175,176 Electrochemical process 1
example calculation energy balance, silver-zinc battery 165
material balance, chlorate 145 M&E balance, fuel cell 201
Element/atom balance 9,99,143,152,205 Energy 6,160
conservation 8, 9 energy balance 9,160 exotic 162 general
balance equation 14,160
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260 Material and Energy Balances for Engineers and
Environmentalists
inter-conversion with mass 8 internal 63,73 kinetic, potential,
surface 63,68
Energy balance 63,160,168,212 closure 178 combustion 180,204
example calculation 184
atmosphere of Earth 247 closed system 163,164,165 combustion 204
open system 168,184,193,195,198,202,
204,244 processing water 170 recycle process 196
first law of thermodynamics 162 generic process units 184 heat
of formation method 171 heat of reaction method 173 sequential
modular method 183 specification (table) 177,212 spreadsheet
calculation 178
Enthalpy 9,15,63,171,238 energy balance (heat balance) 171
example calculation 65,170
Enthalpy-concentration diagram 75 energy balance 173 example
calculation 76,193,194 graphical interpretation 76 sulphuric
acid-water (Figure) 75
Entropy 9,15 Entropy balance 176 Environment 1,90,216,247
Equilibrium
constant 55,56,214 conversion 56,117,214 reactor 117,214
separator 114,121,218
Ethanol from biomass, material balance 149 from glucose, M&E
balance 198
Euler's method global warming 249 unsteady-state M&E balance
242,246
Exotic energy terms 69,162 Expansion/compression of ideal gas
175
example calculation, energy balance 164 Extent of reaction
53
example calculation combustion process 152 conversion, yield and
selectivity 54
F Faraday's law 146,165,203 Fermentation
example calculation antibiotic from lactose 142 ethanol from
biomass 149 ethanol from glucose 198
First law of thermodynamics 160,162,207 Flash split
(separator)
example calculation adiabatic 218 isothermal 122
How 32,91,127 Flowsheet 86
basic process units 88 process engineering 86,87,91 spreadsheet
calculation
energy balance 178 material balance 138,140,141
with stream table 91,140,141 Fossil fuel 103,247 Fuel
combustion 60,180,247 example calculation 11,19,53,152,
204 heat of formation 180 heating value 60,180,182
Fuel cell electrical work (power) 176
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Index
example calculation direct methanol 17 hydrogen economy 230
M&E balance 201
G Gas 32,34,35 Gas compression/expansion 175 Gas law 38
example calculation 32,39 Gas-liquid system 44
example calculation 46,49 Gas-solid system 49 Gauge pressure 31
General balance equation 6,13,21
energy balance 160 example calculation
direct methanol fuel cell 17 internal combustion engine 11 jet
engine 19 multi-stage process 16,18 population of a country 10
water reservoir 9
material balance 98 unsteady-state M&E balance 236
Global climate 236 Global warming 247 Glucose (fermentation) 198
Greenhouse (gas) effect 149,247 Gross economic potential 92
example calculation 93
H Heat 174,160,165,176,209 Heat balance 171 Heat capacity
61,64-66
constant pressure and constant volume 61 energy balance 172,173
enthalpy 64-66 mean heat capacity (table) 63
261
polynomial function, coefficients (table) 62
variation, pressure, temperature, phase 62
Heat exchanger 88,89 chemical process, heat transfer 174 energy
balance 179 example calculation
batch heater 240 continuous heater 245 energy balance
188,194,198,204 material balance 111 simultaneous M&E balance
220,222
generic energy balance 183 generic material balance 106
Heat of combustion 60 biomass 180 energy balance 180,182,209
grossvs.net 60,182
Heat of formation 59 energy balance 172 heat of combustion 180
specific enthalpy 64
Heat of formation method 171,173,183,208 Heat of fusion 60,66
Heat of mixing 70,75
energy balance calculations 172 enthalpy-concentration diagram
70,75 sulphuric acid-water (table) 70
Heat of phase change 60,64 Heat of reaction 59,172
example calculation 59 Heat of reaction method
combustion problems 180,181 energy balance 173,208
Heat of solution 70 solids in water (table) 70
Heat of vaporisation 60,64,66,73 Heat transfer 174,176 Heat
transfer coefficient 28,29,174
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262 Material and Energy Balances for Engineers and
Environmentalists
Heating value 60,182 Henry's constant (table) 46 Henry's law
46
example calculation 46 Hydrocarbon combustion 60
example calculation ethane 53,152 gasoline 11 kerosene 19 oil
204
Hydrogen economy 230 Hydrogen fuel cell 201 Hydrogen sulphide
(gas sweetening) 147
I Ideal gas 34,38,39,40,43,175
example calculation 32,39 Ideal mixture 45,69,70 Industrial
chemical process 1,15,91,104 Ingenuity gap 216,234 Integral balance
13,98,166 Internal energy 15,63,238 Isothermal
compression/expansion of gas 175 flash split, material balance
122 process, energy balance 177
Iterative sequential modular method closure, material balance
119 energy balance 183 example calculation 131,134,136 recycle
material balance 131,138 simultaneous M&E balance 215,227
K Kinetic and potential energy 68
chemical process energy balance 171 differential M&E balance
238 example calculation 163 general balance equation 15
Kinetics (reaction) 56,117
L Latent heat 60,65,173 Limiting reactant 53
example calculation 53 Liquid 35 Liquid-gas system 44
example calculation adiabatic flash 218 bubble and dew points 49
isothermal flash 122 Raoult's and Henry's laws 46
Liquid-liquid system 50 example calculation 115,142
Liquid-solid system 59 example calculation 116
M Mass 24
conservation 8,9,52,118 conversion to moles 51 general balance
equation 8,9,15 units (table) 24,25
Mass balance 9,18 closure 118,131 example calculation 10,16,147
general balance equation 9
Mass fraction and mole fraction 42,43 example calculation 43
Material and energy balance 1,6,8,24, 86 computer 86,138,178,184
example calculation
ammonia production 225 atmosphere of Earth 247 batch reactor 241
drained and heated tank 245 generic process units 217 generic
recycle process 227 hydrogen/air fuel cell 201 hydrogen economy
230
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Index
process economics 93 thermal power generation 204
flowsheet and stream table 92,178 non-nuclear vs. nuclear
process 8 process economics 92 simultaneous 212 specification 212
triple bottom line accounting 86
Material balance 6,14,93,98,237 atom/element, mass, mole 9,99
closed system 100,239 closure 118 energy balance, basis 160,178
example calculation
atmosphere of Earth 103,247 batch reactor 100 biochemical
process 142 continuous stirred tank reactor 117 electrochemical
process 145 environmental system 149 direct methanol fuel cell 18
generic process units 108 internal combustion engine 11 mixer 243
multi-unit process 128,131,134 partial combustion 99 population
11,239 reactor 117 recycle process 133 recycle process with purge
134 separator 115,116,120,121 sequential modular solution 128
simultaneous solution 129 space station 101 stage-wise vs. overall
16 thermochemical process 147 water 9,101,247
generic process units 105 multiple process units 126 open system
103,243
263
process economics 92 sequential vs. simultaneous solution 126
simultaneous M&E balance 212 specification (table) 127
Mechanical energy balance 169 Mechanical work (power) 162,175
Method of sequential modular solution 126,128 Method of
simultaneous solution 126,129 Mixer 88,89,90
example calculation energy balance 186,193,244 material balance
109,124,243 simultaneous M&E balance 217
generic 105 Mixing 69
dispersion vs. solution 69 heat of mixing 70 ideal vs. non-ideal
mixtures 45,70 types of mixtures 69
Modelling 24,86,246 Molar mass (molecular weight) 6,52 Molar
volume 42 Mole 9,15,51 Mole balance 9,99 Mole fraction and mass
fraction 42,43
example calculation 43 Momentum 9,15 Momentum balance 176
Multi-phase equilibria 44 Multiple process units 126
energy balance 177,183 example calculation
sequential modular solution 128,131,134 simultaneous solution
129,133
material balance 126,127 simultaneous M&E balance 215
N Natural gas sweetening 147 Natural system 90,236
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264 Material and Energy Balances for Engineers and
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Net economic potential 92 example calculation 93
Nitrogen (in combustion process) 20,152, 180
Non-condensable gas 46,48 example calculation 49
Non-ideal gas 38 Non-ideal mixture 45,47,69,70,75 Numerical
methods
energy balance 184 material balance 119 solution of differential
equation 239,242,
246 spreadsheet calculations 119,242
O Open system 14,103,166,215,243
energy balance 168 example calculation
energy balance 167,184,191,193,195,196, 244
material balance 16,19,103,108,128,131,
136,142,145,147,149,152,243
M&E balance 198,201,204 simultaneous M&E balance
217,225,227,
230,247 generic process units 104,183 industrial chemical
processes 104 material balance 103 unsteady-state M&E balance
243
Overall balance 16,99,215 example calculation
material balance 16,17 simultaneous M&E balance 225
P Partial pressure and volume 34 Phase 35,88,89
energy balance 172 equilibria 44 heat capacity 6
M&E balance 176,178 specific enthalpy 64,65,66
Phase rule 36,177 example calculation 37
Phase split 37,76,212,213,218 Photochemical process 1
Photosynthesis 149 Photovoltaic cell 176,230 Physical quantities
24,25 Physico-chemical process 1 Population (material balance)
1,10,239 Potential and kinetic energy 15,68,161, 171
example calculation 163,167,170 Power (and work) 162
battery, fuel cell, electro-reactor 176 compression/expansion of
ideal gas
175 energy balance 174,175 example calculation
170,189,191,196,
201,227,230 mixing 177 pumping liquid 175
Pressure 25,31,176,177,178 absolute vs. gauge 31 difference
31,32 example calculation 27,32 standard atmosphere (table) 31
Pressure drop 33,178 Process
control 236,246 design 86,93,178,246 economics 92
example calculation 93 engineering 86,90,92 modelling 86,88,236
stream 91 unit 86,88,90,104,183,215 variables 31,91,176
concentration 42 density 39 example calculation 32
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Index 265
flow 91 phase 35 pressure 31 specific gravity 41 temperature
32
Psychrometric chart 77 example calculation 79 thermodynamic
properties 71 water vapour-air (diagram) 78
Pump 88,89,90 example calculation
energy balance 189,191 material balance 112 simultaneous M&E
balance 223
generic material balance 107 power 175
Purge 131 example calculation 136
Q Quality 73
example calculation 74 Quantity and system 6,7,16,98,160
R Raoult'slaw 45
example calculation 46,198 Reaction
conversion, extent, selectivity, yield 53 equilibrium 55,57
example calculation 52-54,57,117,241 heat, thermochemistry 58,59
kinetics, rates 53,56 stoichiometry 51
Reactor 88,90,117,212 chemical vs. nuclear 90 example
calculation
conversion 57,117,214,241 energy balance 190,195 material
balance 112 simultaneous M&E balance 214,224
generic material balance 107 residence time 56,117 subsidiary
relations 117
Recycle 131 accumulation 131 chemical process 131 energy balance
183 example calculation
energy balance 196,198,201,204 material balance
131,142,145,147,149 simultaneous M&E balance 227,230
iterative sequential modular method 131
material balance 131 simultaneous M&E balance 215
Reduced pressure and temperature 38 Reference state
63-66,173
element vs. compound 171,173,208 energy balance 64,171,183,195
unsteady-state M&E balance 238
Return on investment 92 example calculation 93
Runaway greenhouse effect 247 Rule of thumb 178,209
S Saturation 73,77-79
example calculation 74 Selectivity 53,54
example calculation 55,152 Sensible heat 65,172 Separator
89,90
example calculation energy balance 187,192 material balance
110,115,116 simultaneous M&E balance 218
generic material balance 106 Sequential modular method 126
energy balance 183 example calculation
material balance 128,131
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266 Material and Energy Balances for Engineers and
Environmentalists
Shaft work (power) 175 Significant figures 29
example calculation 30 Simultaneous algebraic equations 119
example calculation 120,129 Simultaneous M&E balance 212
climate change 216 example calculation
adiabatic separator 218 ammonia synthesis 225 atmosphere of
Earth 247 batch reactor 214 continuous reactor 224 direct contact
heat exchanger 223 hydrogen economy indirect contact heat
exchanger
222 mixer 217 phase split 213 recycle process 227
generic process units 215 multiple process units 215
specification 212
Simultaneous solution method 126,183 example calculation 129
Sodium chlorate production example calculation 145
Solar radiation example calculation
atmosphere of Earth 247 ethanolfrombiomass 149 hydrogen economy
230
Solid 35 Solid-gas system 49 Solid-liquid systems 50 Solids and
liquids (equation of state) 39 Solubility 50
common substances in water (table) 51 Space station 1
example calculation 101 Species 88,89
Specific enthalpy 65 energy balance 172,173,176,179 example
calculation 64-67 from tables and charts 71,73 graphical
interpretation 66
Specific gravity 41 Specific heat see Heat capacity Specific
volume 41 Specification 122,176,183
energy balance (table) 177 example calculation (mixer) 124
material balance (table) 122 simultaneous M&E balance 212
Split fraction 114,173 example calculation 115
Splitter 89,114 see Divider Spreadsheet 138
energy balance 178,180,184 material balance 138,140,141 M&E
balance 184,216,242,246,249
Standard state 56 Steady-state 14,92,104,183
example calculation energybalance 184,191,193,195,
196 material balance 108,115,117,120,124,
128,131,134,142,145,147,149,152 M&E balance
198,201,204,217,225,
227,230 generic process units 104,183
Steam table 71,73 condensed version (table) 72 energybalance
173,183 example calculation
energybalance 170,194,195 phase, volume and enthalpy 74
simultaneous M&E balance 213 water phase split 213
Stoichiometry 51 combustion reaction 11,19,180 conversion,
extent, selectivity, yield 54
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Index 267
example calculation limiting reactant 53 reaction masses
11,17,19,52
Stream table chemical process 91,92,176,178 energy balance
176,178 material balance 108,138,141,142 spreadsheet 138,140
Subsidiary relations 113,127 Sulphuric acid
enthalpy-concentration diagram 75 example calculation
energy balance 193,194 enthalpy-concentration diagram 76
heat of mixing (table) 70 Sun see Solar radiation Surface energy
68,162 Sustainable (development) 216,230,247 System and quantity
6,7,16,98,160
T Temperature 32,176
absolute vs. relative 32 example calculation
adiabatic compression 191 flame 204 flash 218
atmosphere of Earth 247 battery 165 energy balance
163,184,191,193,196,
198,201,204 falling mass 163 heated gas 32
M&E balance 213,214,218,222,223, 227,241,245,247
gas compression 175 heat exchanger 89,179 specification in
energy balance 176,177,178
Temperature difference 32,174 Thermal load, thermal duty 174
Thermochemical process 1 example calculation
energy balance 195,204,214 material balance 11,18,19,147,
152 M&E balance 241 simultaneous M&E balance
217,225,
227 Thermochemical values (table) 58 Thermochemistry 58
Thermodynamic chart/diagram 71,75,77
energy balance, reference state 173, 208
example calculation 76,79,193,194 non-reactive energy balance
183
Thermodynamic properties 71 calculation 59-66
enthalpy-concentration diagram 75 example calculation 65,74,79
tables, diagrams and reference states 71 water (steam table) 72,73
water vapour-air (pyschrometric chart)
77,78 Thermodynamic table 71,179
steam table (condensed version) 72 Threshold effects 216
Transient conditions 236 Triple bottom line 86 Triple point
35,72,73 Turbine 175
U Units (chemical process) 86-89
generic energy balances 183-190 generic material balances
104-114 simultaneous M&E balances 215-224
Units (physical quantities) 24 basic and derived (table) 25
example calculation 27,28,29 rules for manipulating 26 SI to
Imperial/American (table) 28
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268 Material and Energy Balances for Engineers and
Environmentalists
Unsteady-state 14,236,237 example calculation
energy balance 240,244 material balance 239,243 simultaneous
M&E balance 245,241,247
Utilities 174 Utility load 171,174
V Vacuum 31 Vapour 35 Vapour pressure 44,46
Antoine equation 44 Clausius-Clapeyron equation 44 common
substances (table) 44 example calculation 36,46
Vapour-liquid equilibrium 44 example calculation
adiabatic flash 218 biochemical process 198 combustion 152
direct contact heat exchanger 222 electrochemical process 201
isothermal flash 122
Raoult's law and Henry's law 45 water phase split 213
Variable (process) 31,91,122-127,176-177 Volume
9,15,25,34,38,39,41
example calculation 32,39,74
W Water 73,101,213,247 Work(andpower) 162,174,175,177,209
example calculation electrolysis 230 fuel cell 201 gas
compression 191,230 photovoltaic cell 230 processing water 170
pumping liquid 196,227
Y Yield 54
example calculation competitive reactions 54 continuous process
128 recycle process 131 recycle process plus purge 136
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