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CHAPTER 6
ENERGY BALANCE
6.1 IntroductionThe concept of energy conservation as stated by the energy balance equationis a middle of chemical engineering calculations. Just as mass balances are reviewed before, the energy balance is essential to solve many problems.
6.2 Equations Used in Calculations
6.2.1 General Equations
Q Ws = H + Ek + Ep (6.1)
The system kinetic energy associated with motion is directed such as straight line motion and rotation system. The potential energy of the system is due to the state of the object of mass at a certain height. However, we can ignore the kinetic energy, potential energy, and work for our system because it is static (Ek = 0), no change in height (Ep = 0), and no work on our system (Ws = 0). Thus Equation 6.1 can be further reduced to as Equation 6.2.
Q = H = Hout Hin (6.2)6.2.2 Equation for Reactive Process
H = Outlet ni ( i + f ) - Inlet ni (i + f) (6.3)
6.2.3 Equation for Process with Phase Changes
6.2.4 Equation for Non-Reactive
6.2.5 Equation for Heat Capacity, Cp
6.2.6 Total Heat for Energy Balance (non-reactive process)
HTotal = (HOutlet - HInlet) (6.8)
6.2.7 Total Heat for Energy Balance (reactive process)
HTotal = r + (HOutlet - HInlet) (6.9)
6.2.8 Equation Heat of Reaction
r = vf = products lvlf - reactants lvlf (6.10)
6.2.9 Equations Used in Calculation
Table 6.1 The Phase, Temperature and Pressure Change for i Component in Each Stream.
Heat Capacity of GasThe correlation for the heat capacity of gas is a series expansion in temperature:WhereCp = heat capacity of ideal gasA, B, C, D, and E = regression coefficients for chemical compoundsT = temperatureTable 6.2 Cp Coefficient for GasNameABCDE
Methyl Ethyl Ketone37.3692.304510-15.738710-6-8.816810-82.963710-11
Sec-Butanol22.4653.513410-1-1.285810-4-1.193110-81.294010-11
Hydrogen25.3992.017810-2-3.854910-53.188010-8-8.758510-12
Water33.933-8.418610-32.990610-5-1.782510-83.693410-12
1,1,2- Trichloroethane28.8812.489310-1-1.763910-45.263210-8-3.566810-12
Heat Capacity of LiquidThe correlation for the heat capacity of liquid is a series expansion in temperature:
WhereCp = heat capacity of liquidA, B, C, and D = regression coefficients for chemical compoundT = temperature From thermodynamics, the change in enthalpy, H, at constant pressure is
Table 6.3 Cp Coefficient for LiquidNameABCD
Methyl Ethyl Ketone61.4067.532410-1-2.381410-33.224010-6
Sec-Butanol95.0375.659310-1-1.825610-32.667510-6
Hydrogen50.607-6.11361003.093010-1-4.148010-3
Water92.053-3.995310-2-2.110310-45.346910-7
1,1,2- Trichloroethane34.9348.5054101-2.330610-32.645510-6
6.3 Calculation of Energy BalanceR-101
T1 = 703.15 KT2= 693.15 KP1 = 1.411 atmP2= 1.3126 atmSTREAMStream 5 (Inlet)Stream 6 (outlet)
COMPONENTnHnH
2-BUTANOL(2-B)106.8497H12.136994H2
MEK--104.7127H3
H2--104.7127H4
SBA (v, 298.15, 1 atm) SBA (v, 703.15, 1.411 atm)
SBA (v, 703.15, 1 atm)=
= 66305.95 kJ/kmol = (7919.999/4.37) =0.0018 kg/L = (1.411-1)(74.12 kg/kmol)(1/0.018 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 171468.06/kmol 1/1000 kJ/J = 171.468 kJ/kmolH1 = (+) n H1 = (106.8497 kmol/hr)(66305.95 + 171.468 kJ/kmol) = 7103092.22 kJ/hr
SBA (v, 298.15 K, 1 atm) SBA (v, 693.15 K, 1.3126 atm)
SBA (v, 693.15 K, 1 atm)
=
= 64265 kJ/kmol
= (7919.999/9.17) = 0.000864 kg/L
= (1.3126-1)(74.12 kg/kmol)(1/0.000864 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 2716996.94 J/kmol 1/1000 kJ/J = 2716.99 kJ/kmol
H2 = (+) n H2 = (2.136994kmol/hr)( 64265+ 2716.99 kJ/kmol) = 143120.02 kJ/hr
MEK (v, 298.15 K, 1 atm) MEK (v, 693.15 K, 1.3126 atm)
SBA (v, 693.15 K, 1 atm)=
= 56485.49 kJ/kmol
= (7919.999/9.17) = 0.000864 kg/L
= (1.3126-1)(72 kg/kmol)(1/0.000864 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 2639284.67 J/kmol 1/1000 kJ/J = 2639.28 kJ/kmol
H2 = (+) n H2 = (104.7127 kmol/hr)( 56485.49 + 2639.28 kJ/kmol) = 6191114.3 kJ/hr
H2 (v, 298.15 K, 1 atm) H2 (v, 693.15 K, 1.3126 atm)
H2 (v, 693.15 K, 1 atm)=
= -287918039.9 kJ/kmol
= (7919.999/9.17) = 0.000864 kg/L
= (1.3126-1)(2 kg/kmol)(1/0.000864 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 73313.46J/kmol 1/1000 kJ/J = 73.31kJ/kmol
H2 = (+) n H2 = (104.7127 kmol/hr)( 73.31 -287918039.9 kJ/kmol) = - kJ/hr
PUMP (B5)Stream1
PhaseLiquid
T ()298.15
P (atm)1
Stream28
PhaseLiquid
T ()298.197
P (atm)1.197
References:TCE (l, 298.15 K, 1 atm) Inlet and outlet unknown enthalpy for Pump (B5)Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
TCE (l)4.99994.9999
Stream 1Since inlet stream is equal to the reference state,
TCE (l, 298.15 K, 1 atm) TCE (l, 298.197 K, 1.197 atm)Enthalpy for TCE outlet: = (667.0198/465.8271) =1.432 kg/L = (1.197-1)(133.40 kg/kmol)(1/1.432 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 1859.335J/kmol 1/1000 kJ/J = 1.8593 kJ/kmol H2 = (4.9999 kmol/hr)(1.8593kJ/kmol) = 9.2963 kJ/hr
PUMP (B3) Stream24
PhaseLiquid
T ()298.1615
P (atm)1.197
Stream23
PhaseLiquid
T ()298.15
P (atm)1
References: H2O (l, 298.15 K, 1 atm) Inlet and outlet unknown enthalpy for Pump (B3)Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
H2O (l)700.0001700.0001
Stream 23Since inlet stream is equal to the reference state,
H2O (l, 298.15 K, 1 atm) H2O (l, 298.1615 K, 1.197 atm)Enthalpy for H2O inlet: = (12610.7/12687.51) =0.994 kg/L = (1.197-1)(18 kg/kmol)(1/0.994 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 351.71J/kmol 1/1000 kJ/J = 0.352 kJ/kmol H1 = (0.352 kmol/hr) (700.0001 kJ/kmol) = 252.98 kJ/hr
Heater (E-104)Stream12
PhaseLIQUID
T ()298
P (atm)2.62
Stream16
PhaseVAPOUR
T ()378
P (atm)2.62
References: MEK (l, 298 K, 1 atm), SBA (l, 298 K, 1 atm), H2(v, 298 K, 1 atm), H2O (l, 298 K, 1 atm), TCE (l, 298 K, 1 atm)Inlet and outlet unknown enthalpy for E-106Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK (l)10.383510.3835
SBA (l)0.06493120.0649312
H2(l)0.06221030.0622103
H2O (l)3.6506373.650637
TCE (l)
Stream 16 (SBA)SBA (l, 298 K, 1 atm) SBA (v, 378 K, 2.62 atm)
SBA(l, 372.70 K, 1 atm)SBA(v, 372.70 K, 1 atm) SBA(v, 378 K, 1 atm)
= 13480.4166 kJ/kmol= 40960 kJ/kmol= = [22.465T + 0.17567T2 + (-4.286 T3+ (-2.9828) T4+ (-2.588) T5] = 123.994 kJ/kmol = (819.5266/1.68 4.878 kg/L= (2.62-1)(74 kg/kmol)(1/4.878 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 2489.9kJ/kmol = = 57054.3 kJ/kmolH16 = () n = 57054.3 kJ/kmol 0.0649312 kmol/hr = 3704.6 kJ/hr
Stream 16 (MEK)MEK (l, 298 K, 1 atm) MEK (v, 378 K, 2.62 atm)
MEK(l, 352.79 K, 1 atm)MEK(v, 352.79 K, 1 atm) MEK(v, 378 K, 1 atm)
= 4371.72 kJ/kmol= 31220 kJ/kmol= = [942.072 + 73.215 +0.03065+ (-8.903 + (6.036)] = 1015.31 kJ/kmol = 4.878 kg/L= (2.62-1)(72 kg/kmol)(1/4.878 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 2422kJ/kmol = = 39029.02 kJ/kmolH16 = () n = 39029.02 kJ/kmol 10.3835 kmol/hr = 405257.83 kJ/hrStream 16 (H2O) H2O (l, 298 K, 1 atm) H2O (v, 378 K, 2.62 atm)
H2O (l, 373 K, 1 atm) H2O (v, 373 K, 1 atm) H2O (v, 378 K, 1 atm)
= = [92.053T + (-0.01997)T2 + (-7.034 T3+ (1.3367) T4] = 6766.198kJ/kmolb =HV = 39.5 kJ/mol= = [33.933T + (-4.209)T2 + (9.9686 T3+ (-4.456) T4+ (-7.3868) T5] = 169.5610 kJ/kmol = 4.878 kg/L= (2.62-1)(18 kg/kmol)(1/4.878 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 605653.49kJ/kmol = = 652089.249 kJ/kmolH16 = () n = 652089.249 kJ/kmol 3.650637kmol/hr = 2380541.14 kJ/hr
Stream 16 (H2) H2 (g, 298 K, 1 atm) H2 (g, 378 K, 2.62 atm)
H2 (g, 378 K, 1 atm)
= = 2031.92 + 64.5696 6.5786 + 0.3265 57.396 = 2032.842 kJ/kmol = 4.878 kg/L= (2.62-1)(2 kg/kmol)(1/4.878 L/kg)(8.314 J/mol.K)(1/0.08206 mol.K/L.atm) = 67.29kJ/kmol = 2100kJ/kmolH16 = () n = 2100kJ/kmol 0.0622103 kmol/hr = 130.64163 kJ/hr
Furnace (H-101)
Stream4
PhaseVapor
T ()140
P (atm)1.47
Stream5
PhaseVapor
T ()430
P (atm)1.44
Reference: SBA (l, 25, 1 atm)
Inlet and outlet unknown enthalpy for H-101Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
SBA (v)106.8494106.8494
Stream 4
SBA (v, 99.7, 1 atm)SBA (v, 140, 1 atm)SBA (l, 25, 1 atm)SBA (v, 140, 1.47 atm)SBA (l, 99.7, 1 atm)
Stream 5Pressure change from 1.47 atm to 1.44 atm is negligible.
Inlet and outlet enthalpy for H-101Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
SBA (v)106.849451666.16106.8494
Heater (E-104)Stream22
PhaseLiquid
T ()95
P (atm)1
Stream18
PhaseLiquid
T ()25
P (atm)1
References: MEK (l, 25, 1 atm), SBA (l, 25, 1 atm), H2 (v, 25, 1 atm), H2O (l, 25, 1 atm), TCE (l, 25, atm)
Inlet and outlet unknown enthalpy for E-104Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK (l)10.383510.3835
SBA (l)0.06490.0649
H2 (l)0.06220.0622
H2O (l)697.5673697.5673
TCE (l)0.0230.023
Stream 18Since inlet stream is equal to the reference state,
Stream 22
Enthalpy for MEK outlet:
Enthalpy for SBA outlet:
Enthalpy for H2 outlet:
Enthalpy for H2O outlet:
Enthalpy for TCE outlet:
Inlet and outlet enthalpy for E-104Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK (l)10.3835010.38355890.94
SBA (l)0.06490.06497846.40
H2 (v)0.06220.06221823.15
H2O (l)697.5673697.56736324.91
TCE (l)0.0230.0233021.84
Pump (B4)Stream17
PhaseLiquid
T ()25
P (atm)1
Stream26
PhaseLiquid
T ()25
P (atm)1.2
References: MEK (l, 25, 1 atm), SBA (l, 25, 1 atm), H2 (v, 25, 1 atm), H2O (l, 25, 1 atm), TCE (l, 25, 1 atm)
Inlet and outlet unknown enthalpy for Pump (B4)Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK (l)0.58020.5802
SBA (l)0.00320.0032
H2 (v)0.00050.0005
H2O (l)0.07970.0797
TCE (l)4.9774.977
Stream 17Since inlet stream is equal to the reference state,
Stream 26 Enthalpy for MEK outlet:
Enthalpy for SBA outlet:
Enthalpy for H2 outlet:
Enthalpy for H2O outlet:
Enthalpy for TCE outlet:
Inlet and outlet enthalpy for Pump (B4)Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK (l)0.58020.58021.0689
SBA (l)0.00320.00321.0987
H2 (v)0.00050.00050.0299
H2O (l)0.07970.07970.2688
TCE (l)4.9774.9771.9774
Distillation Column (T-101)Stream22
PhaseLiquid
T ()95
P (atm)1
Stream16
PhaseLiquid
T ()105
P (atm)2.65
Stream19
PhaseVapor
T ()130
P (atm)2.65
References: MEK (l, 25, 1 atm), SBA (l, 25, 1 atm), H2 (v, 25, 1 atm), H2O (l, 25, 1 atm), TCE (l, 25, 1 atm)Inlet and outlet unknown enthalpy for T-101Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK 10.38350.000010.3835
SBA 0.06490.00000.0649
H2 0.06220.00000.0622
H2O 697.5673693.91663.6504
TCE 0.02300.02230.0007
Stream 22 Enthalpy for MEK inlet:
Enthalpy for SBA inlet:
Enthalpy for H2 inlet:
Enthalpy for H2O inlet:
Enthalpy for TCE inlet:
Stream 19
H2O (v, 100, 1 atm)H2O (v, 130, 1 atm)H2O (l, 25, 1 atm)H2O (v, 130, 2.65 atm)H2O (l, 100, 1 atm)
TCE (v, 113.8, 1 atm)TCE (v, 130, 1 atm)TCE (l, 25, 1 atm)TCE (v, 130, 2.65 atm)TCE (l, 113.8, 1 atm)
Stream 16n (l, 130, 1 atm)n (l, 25, 1 atm)n (l, 130, 2.65 atm)
Where i = 11, 12, 13, 14, and 15.
Enthalpy of n = MEK
Enthalpy for n = SBA
Enthalpy for n = H2
Enthalpy for n = H2O
Enthalpy for n = TCE
Inlet and outlet enthalpy for T-101Component(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)
MEK 10.38355890.940.000010.383512239.06
SBA 0.06497846.400.00000.064915003.97
H2 0.06221823.150.00000.06222832.98
H2O 697.56736324.91693.916647284.023.65049994.24
TCE 0.02303021.840.022364773.700.000710430.59
Extraction Column (V-103)Stream17
PhaseLiquid
T ()299.1418
P (bar)1.01
Stream28
PhaseLiquid
T ()298.1970
P (bar)1.197384
Stream15
PhaseLiquid
T ()298.15
P (bar)1.164569
Stream18
PhaseLiquid
T ()298.1992
P (bar)1.01
Reference: SBA (l, 25, 1 bar)
Inlet and outlet unknown enthalpy for V-103Stream 28Component(mol/hr)(kJ/mol) (kJ/hr)
TCE (l)4999.9991.585
TCE (l, 298.15K, 1bar barbar)TCE (l, 298.1970, 1.197384 bar)TCE (l, 298.1970 K, 1 bar)
+
Stream 15
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)10963.6912.220
SBA68.08500.587
Hydrogen138.18360.00429
Water697647.30.5984
TCE2.13658x10-62.357x10-8
For MEKMEK (l, 298.15 K, 1 bar)MEK (l, 298.15K, 1.164569 bar)
For SBASBA (l, 298.15 K, 1 bar)SBA (l, 298.15K, 1.164569 bar)
For HydrogenH2 (l, 298.15 K, 1 bar)H2 (l, 298.15K, 1.164569 bar)
For WaterH2O (l, 298.15 K, 1 bar)H2O (l, 298.15K, 1.164569 bar)
For TCETCE (l, 298.15 K, 1 bar)TCE (l, 299.1418K, 1 bar)
Stream 17
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)580.183635.55
SBA3153.71x10-30.298
Hydrogen1033.35x10-30.0489
Water79.68547.273
TCE4976.97454.9
For MEK
MEK (l, 298.15 K, 1 bar)MEK (l, 299.1418K, 1 bar)
For SBA
SBA (l, 298.15 K, 1 bar)SBA (l, 299.1418K, 1bar)
For Hydrogen
H2 (l, 298.15 K, 1 bar)H2 (l, 299.1418K, 1bar)
For Water
H2O (l, 298.15 K, 1 bar)H2O (l, 299.1418K, 1bar)
For TCE
H2O (l, 298.15 K, 1 bar)H2O (l, 299.1418K, 1bar)
Stream 18
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)10383.431.38
SBA64.93120.31
Hydrogen62.21030.155
Water697567.53159.3
TCE23.02710.01266
For MEK
MEK (l, 298.15 K, 1 bar)MEK (l, 298.1992K, 1 bar)
For SBA
SBA (l, 298.15 K, 1 bar)SBA (l, 298.1992K, 1bar)
For Hydrogen
H2 (l, 298.15 K, 1 bar)H2 (l, 299.1418K, 1bar)
For Water
H2O (l, 298.15 K, 1 bar)H2O (l, 298.1992K, 1bar)
For TCE
H2O (l, 298.15 K, 1 bar)H2O (l, 298.1992K, 1bar)
Mixer (B-17)
Stream9
PhaseLiquid
T ()299.113
P (bar)1.01
Stream20
PhaseLiquid
T ()297.9664
P (bar)1.01
Stream10
PhaseLiquid
T ()298.15
P (bar)1.233654
Stream 20
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)10383.5-116.93
SBA64.9312-1.129
Hydrogen137.1503-1.29
Water3650.637-61.7
TCE0.742274-0.00148
For MEK
MEK (l, 298.15 K, 1 bar)MEK (l, 297.9664K, 1 bar)
For SBA
SBA (l, 298.15 K, 1 bar)SBA (l, 297.9664K, 1bar)
For Hydrogen
H2 (l, 298.15 K, 1 bar)H2 (l, 297.9664K, 1bar)
For Water
H2O (l, 298.15 K, 1 bar)H2O (l, 2979664K, 1bar)
For TCE
H2O (l, 298.15 K, 1 bar)H2O (l, 297.9664K, 1bar)
Stream 9
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)11175.17-25.37
SBA65.1248-0.228
Hydrogen230835.4-438.59
Water--
TCE-
For MEK
MEK (l, 298.15 K, 1 bar)MEK (l, 298.113K, 1 bar)
For SBA
SBA (l, 298.15 K, 1 bar)SBA (l, 298.113K, 1bar)
For Hydrogen
H2 (l, 298.15 K, 1 bar)H2 (l, 298.113K, 1bar)
Stream 10
Component(mol/hr)(kJ/mol) (kJ/hr)
MEK (l)93537.55150856
SBA2071.8693433.7
Hydrogen16.61590.7492
Water--
TCE-
For MEKMEK (l, 298.15 K, 1 bar)MEK (l, 298.15K, 1.233654 bar)
For SBASBA (l, 298.15 K, 1 bar)SBA (l, 298.15K, 1.233654bar)
For HydrogenH2 (l, 298.15 K, 1 bar)H2 (l, 298.15K, 1.233654 bar)
Condenser (E-103)Stream7
PhaseVapor
T (K)428.4892
P (atm)1.28
Stream8
PhaseMixer
T (K)298.15
P (atm)1.26
Table 3 Inlet and Outlet (Unknown) enthalpy for the condenser (E-103)CompoundsStream 7Stream 8 (Vapor)Stream 8 (Liquid)
(kmol/hr)(kJ/kmol) (kmol/hr)(kJ/kmol) (kmol/hr)(kJ.kmol)
MEK104.7172111.1752493.53767
SBA2.137020.065152.07198
H2104.71723104.705267.5410-39
Change in pressure is negligible since the pressure at stream 7 and stream 8 is approximately same and the change is small.
Stream 7 (Inlet)Enthalpy for MEK inlet:
Enthalpy for SBA inlet:
Enthalpy for H2 inlet:
Therefore, the total enthalpy flow and relative error for vapor phase in inlet stream is:
Stream 8 (Outlet): Vapor PhaseEnthalpy for MEK outlet:
Enthalpy for SBA outlet:
Enthalpy for H2 outlet:
Therefore, the total enthalpy flow for vapor phase in outlet stream is:
Stream 8 (Outlet): Liquid PhaseWatson Correlation:
Enthalpy for MEK outlet:
Enthalpy for SBA outlet:
Enthalpy for H2 outlet:
Therefore, the total enthalpy flow for liquid phase in outlet stream is:
The enthalpy flow and relative error for oulet stream (liquid phase + vapor phase):
Therefore, the heat duty of the condenser is:
Table 4 Inlet and Outlet enthalpy for condenser (E-103)CompoundsStream 7Stream 8 (Vapor)Stream 8 (Liquid)
(kmol/hr)(kJ/kmol) (kmol/hr)(kJ/kmol) (kmol/hr)(kJ.kmol)
MEK104.7172-220245.70511.1752-238344.3393.5376-272819.521
SBA2.1370-271500.0450.0651-292272.6672.0719-339515.85
H2104.717211446.054104.70524.314557.5410-34.31455
Separator (V-101)Stream8
PhaseMixed
T (K)298.15
P (atm)1.26
Stream11
PhaseVapor
T (K)298.15
P (atm)1.23
V-101
Stream10
PhaseLiquid
T ()298.15
P (bar)1.23
CompoundsStream 8 (Liquid)Stream 8 (Vapor)Stream 10 (Liquid)Stream 11 (Vapor)
n(kmol/hr)H(kJ/kmol)n(kmol/hr)H(kJ/kmol)n(kmol/hr)H(kJ/kmol)n(kmol/hr)H (kJ/ kmol)
MEK93.5376-272819.52111.1752-238344.3393.5376111.17524
SBA2.0719-339515.850.0651-292272.6672.071920.06515
H27.5410-34.31455104.70524.314557.5410-33104.70526
Stream 10: Liquid phaseEnthalpy of MEK outlet:
Enthalpy of SBA outlet:
Enthalpy of H2 outlet:
Therefore, the enthalpy flow of stream 10 is:
Stream 11: Vapor phase
Enthalpy of MEK outlet:
Enthalpy of SBA outlet:
Enthalpy of H2 outlet:
Therefore, the enthalpy flow of stream 11 is:
Therefore, the heat duty of the condenser is:
CompoundsStream 8 (Liquid)Stream 8 (Vapor)Stream 10 (Liquid)Stream 11 (Vapor)
(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)(kmol/hr) (kJ/ kmol)
MEK93.5376-272819.52111.1752-238344.3393.5376-10.265911.1752-625.5665
SBA2.0719-339515.850.0651-292272.6672.0719-12.63520.0651-402.0604
H27.5410-34.31455104.70524.314557.5410-3-3625.7978104.7052-0.25075
Mixer (B-19)Stream26
PhaseLiquid
T (K)299.1844
P (atm)1.2
Stream23
PhaseLiquid
T (K)298.1615
P (atm)1.2
Stream25
PhaseLiquid
T (K)298.0686
P (atm)1.2
The changes of temperature is negligible since the temperature of all stream is approximately same.CompoundsStream 26Stream 23Stream 25
(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/kmol)(kmol/hr)(kJ/ kmol)
MEK0.5802--0.5802
SBA3.1510-3--3.1510-3
H24.6910-4--4.6910-4
H2O0.07969700.0001700.0799
TCE4.97697--4.97697