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8/12/2019 302 Project PDF
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Given Values:
600 MW coal fired plant
18 % excess air
Proximate Analysis:
Moisture
12
VM 38.4
FC 43.6
Ash 6
Total 100
11030
Heating Value(BTU/lb asreceived)
Ultimate Analysis (wt. %):
Carbon
62.6
Hydrogen 4.5
Nit
rogen 1.2
Sulfur
0.7
Ash 6
Oxygen 13
Total
88
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Total 88
1 atm all throughthe gas streamtable 8 for enthalpies for heatloss through stack(do each materialseparately)stack to ambientfor stack gas
38% means itburns C + 1/2 O2 =COrest does C + H2O= CO + H2O
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Ultimate Analysis(wt. %): AIR
Carbon 62.6% 18% excess
Hydrogen 4.5% 60% humidity
Nitrogen 1.2%
Sulfur 0.7%
Oxygen 13% ambient pressure 760 mmHg
Water 12%
vapor pressure of H2O at 26.7Celsius 26.271 mmHg
Ash 6% Total W/o H2O 88%mol fraction of wat er in ai r 0. 02 07 40 26 31 57 89
Assume: coal feed rate
100 lb/h
mass flow rate(lb/h) lb mole flow rate lb mole flow rate
lb mole O2required
Carbon 62.6 5.22 5.21 5.22
Hydrogen (H2) 4.5 2.23 2.23 1.11
Nitrogen (N2) 1.2 0.04 N2 sent to each
NO 0.02 0.02
N2 0.03 0.00
Sulfur (S) 0.7 0.02 0.02 0.02
Oxygen (O2) 13 0.41 0.41 -0.41
Water 12 0.67 0.67
Ash 6
total required O2= 5.963 l b mole
Dry air required= 28.39 l b mole/h
Wet air required = 28.99 Actual air sent= 34.20 lb mole/h
979.10 lb/h Productsmass flow rate (lbmole/h)
mass flow rate(lb/h)
0.49 tons/hour CO2 5.22 229.53mass air sent/mass fuel 9.79 lb air/lb coal H2O 2.23 40.14
Moisture in air= 0.71 lb mole/h
12.78 lb/h NO 0.01 0.26
O2 7.03 lb mole/h
N2 26.46 lb mole/h SO2 0.02 1.40
O2 1.07 0.03
0.0156 lb moisture/lb air Moisture in coal 0.67 12.00
Moisture in air 0.71 0.04
Ash 6.00
N2 26.49 741.62
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Given
600 MW n:
33% thermal efficency (%) 0.709400817299805 moisture mols 28.6151755 total lbs/ lb-mole = M
3412000 (Btu/h)/MW 7.0338744980693 O2 mols n = m/M
11030 Btu/lb coal 26.4607659689274 N2 mols PV = nRT = m/M * RT
3.63E-05 ton/ft3 m/V = PM/RT
0.7302413gas constant R (ft^3 *atm *R^−1* lb-mol^−1) 0.072610887742931 lb/ft^3
0.000036305443871 tons/ft^3
coal feed rate= 562,433.03 lb coal/h
281.22 ton coal/h
air feed rate withrespect to the fuelfeed rate 9.79 lb air/lb coal
Molecular weight of WET air
required air feedrate 2,753.40 ton air/h ton air/ton coal 9.79103780200597 28.63
mole air/mole coal 4.10448495411558
Air flow ratethrough the FD fan 75,839,908.68 SCFH
ACFM = SCFM *(Tact / Tstd) 83,188,055.93 ACFH
Standard assumes492 R and 1 atm.
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Given data
99.9% Ash removed 90% S2 captured
0.1% Ash leaving ESP 10% S2 released
5% bottom ash
total input gaseslong story short(output)
mass flow rate(lb/h) ton/h lb/h
CO2 229.53 229.53
H2O 52.18 52.18
NO 0.26 0.26
SO2 1.40 0.1400
O2 0.03 0.03 Ash 5.70 0.00000285 0.01
N2 741.62 741.62
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Given
80% NO removed
20% NO leaving
Inputmass flow rate(lb/h)
mass of NOreacting
molar flow rate of NO (lb mole/h)
NH3 Required (lbmole/h)
NH3 required(ton/h)
NO 0.26 0.206 0.007 0.005 0.00007
Products lb mole/h
N2 0.006
H2O 0.007
NO 0.002
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Stack Gasses lb/h lb mole/h mole fraction (wet) mole fraction (dry) mole % (wet) mole% (dry)
CO2 229.533 5.217 0.151 0.165 15.075 16.452
H2O 52.190 2.896 0.084 8.369 0.000
NO 0.051 0.002 4.95E-05 5.41E-05 4.95E-03 5.41E-03
SO2 0.140 0.002 6.32E-05 6.90E-05 6.32E-03 6.90E-03
O2 0.033 0.001 3.02E-05 3.30E-05 3.02E-03 3.30E-03
N2 741.627 26.487 0.765 0.835 76.541 83.532
Ash 0.006
Wet total 34.605
Dry Total 31.708
Molecular weightMolecular weight(dry) lb wet flue gas/h
29.582 30.638 lb/lb mole 1,023.676 0.003 lb mole/SCF ideal
lb flue gas/lb fuel flue gas
From Book: 10.237 367,499.610 SCFH
T (C) 44.500 44.600P (mmHg) 70.050 70.410
Partial Pressure of Steam in Stack (inmmHg): 63.608
Partial Pressure =Vapor Pressure atDew Point
Dew Point LeavingStack in degreesCelsius (using thesteam tables in thebook): 42.711
Conversion toDegrees F: 108.879
Maintenancetemperature (F) 188.879
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gas mol % h (188.887 F) h (80 F) delta h (contributed)
CO2 15.075 1029.00102 26.8695652173913 151.072369066587
H2O 8.369 905.79247 24.1304347826087 73.7904489376691
NO 0.005 797.258306 21.3036036036036 0.038440305810614
SO2 0.006 0.000148691025506
O2 0.003 1521.13579 21.1304347826087 0.045318827447725
N2 76.541 779.47269 20.8695652173913 580.643383600527
total flue 805.59 btu/lb-mol
heat loss 27,877.05 btu/hr
SO2
a 3.89E-02
b 3.90E-05
c -3.10E-08
d 8.61E-12
t1 8.72E+01
t2 2.67E+01
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HP Turbine IP Turbine
temp 1,000.000 F temp 1,000.000 F
pressure 2,520.000 psig pressure 587.000 psig
2,520.068 psia 587.068 psia
enthalpy 1,457.370 btu/lb 1,517.590 btu/lb
4,080,000.000 lb/hour 3,770,000.000 pounds/h
Coal11,030.000 BTU/lb
562,433.034 pounds coal/ h
Air 6,203,636,363.64 enthalpy coal 5,946,069,600.000
high pressureturbine enthalpy
543,495,919.555 pounds air/hour 400,095,498.28 enthalpy air 90.041 %
Dry air: 6,603,731,861.92total boiler enthalpy/h 5,721,314,300.000
low pressureturbine enthalpy
0.000 h (77 F) (btu/lb-mol) 86.638 %
160 h (100 F) (btu/lb-mol)
20.870 h (80 F) (btu/lb-mol) 20.8695652173913
20.437 h (80 F) (btu/lb-mol)in wet air
0.708h (80 F) (btu/lb) inwet air
H2O
0 h (77 F) (btu/lb-mol)
185 h (100 F) (btu/lb-mol)
24.130 h (80 F) (btu/lb-mol)
0.500h (80 F) (btu/lb-mol)in wet air
0.028h (80 F) (btu/lb) inwet air
Wet air:0.736151797813036 btu/hr
Feed Air: mol % mass mass %
Mositure 0.709 2.074 37.332 1.305
O2 7.034 20.564 658.063 22.997
N2 26.461 77.362 2,166.123 75.698
34.204 100.000 2,861.518 100.000
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0.958
6,203,636,363.636
3412000 (Btu/h)/MW
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Input lbmole/h Btu/h kJ/h T unit a b/2 c/3 d/4 [1]
coal 6,203,636,363.64 6,545,182.85 H2O C 3.35E-02 3.44E-06 2.53E-09 -8.98E-13
Air 80F N2 C 2.90E-02 1.10E-06 1.91E-09 -7.18E-13
H20 0.71 O2 C 2.91E+01 5.79E-06 -2.02E-09 3.28E-13
N2 26.46 CO2 C 3.61E-02 2.12E-05 -9.62E-09 1.87E-12
O2 7.03 NO C 2.95E-02 4.09E-06 -9.76E-10 9.10E-14
80F= 26.67 C= 299.67 K SO2 C 3.89E-02 1.95E-05 -1.03E-08 2.15E-12
Outputmass flow rate (lbmole/h)
CO2 5.22
H2O 2.23 Hrxn=
SUM mole floe rate of species i times Int(a+bT+cT^2+dT^3)dT
NO 0.03
SO2 0.02
O2 1.07
Moisture in coal 1.00 Total water 3.94 lb mole/h
Moisture in air 0.71 31874.4552406586
Ash Tad 1766.37 C 2039.37 K
N2 26.49 Tref 25 C
del H- delHcL -2.40E-07
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Answers• Coal and air feedrates in tons/h
Coal feed rate (tons/h) 281.217 ton coal/h
Air feed rate (tons/h) 2,753.402 ton air/h
Air flow rate in ACFH through the FD fan (units)
• Calculate the air flow rate in ACFHthrough the FD fan,
Flue gas composition (wet basis) 83,188,055.93 ACFH
CO2
• Flue gascomposition on wetand dry basis,
H2O mole fraction (wet) mole fraction (dry)
N2 CO2 0.15075 0.16452
O2 H2O 0.08369
SO2 NO 4.95E-05 5.41E-05
NO2 SO2 6.32E-05 6.90E-05
Total O2 3.02E-05 3.30E-05
Flue gas molecular weight (wet) N2 0.76541 0.83532
Flue gas composition (dry basis)
CO2
• Flue gas flowrate in SCFH throughthe ID fan,
N2 367,499.61 SCFH Assuming idealconditions
O2
• Flue gasproduced per lb of fuel, Flue gasmolecular weight, Fluegas molecular weight(dry)
SO2 10.2367579281556 lb flue gas/lb fuelNO2 29.5821470888896 Molecular weight
Total 30.6382258504926Molecular weight(dry)
Flue gas molecular weight (dry)
• Ash flow ratefrom the ESP intons/h.
Flue gas produced per lb fuel 0.00000285 ton/h
Ash flow rate from ESP (tons/h)• Ammoniarequirement in tons/h
Ammonia requirement (tons/h) 0.000068571428571NH3 required(ton/h)
% of the heat input captured by the high pressure turbine
• What percent of the heat input iscaptured by the highpressure turbine andintermediate pressureturbine steam?
% of the heat input captured by the intermediate pressure turbine steam
Heat loss through stack• Heat lossthrough the stack.
Adiabatic temperature that can be achieved• The adiabatictemperature that canbe achieved by thiscoal in the combustionchamber. 2039.37 K