Energy Balance Calculation
Energy Balance Calculation
Qi/o = ∫
T=298
n.Cp.dT (Van Ness, 1975)
Gugus Nilai
-CH2- -26,80
Saya
--CH-- 8,67
-OH -208,04
-O- -138,16
(Sumber: Perry, 1999)
1. Glukosa (C6H12O6)
׀
ΔHf298 = 5(-OH) + 5(-CH-) + 1 (- O -) + 1 (- CH2 -)
= -1049,55 kJ/mol
-5830,8333 kJ/kg
2. Pati (C6H10O5)
׀
ΔHf298 = 3(-OH) + 5(-CH-) + 2 (- O -) + 1 (- CH2 -)
= -772,71 kJ/mol
= -4769,8148 kJ/kg
C6H10O5
׀ ׀ ׀
Cp = 1(-CH2OH) + 1(-O-) + 1(-CH2-) + 2(-CHOH) + 1(-CHOH) + 1(-CHOH)
= 1(17,5) + 1(8,4) + 1(6,2) + 2(18,2) + 1(4,4) + 1(26,6)
= 99,5 kal/mol,K = 2,5698 kJ/kg.K
Serat ((C6H10O5)n
׀ ׀ ׀
Cp = 1(-CH2OH) + 1(-O-) + 1(-CH2-) + 2(-CHOH) + 1(-CHOH) + 1(-CHOH)
= 1(17,5) + 1(8,4) + 1(6,2) + 2(18,2) + 1(4,4) + 1(26,6)
= 99,5 kal/mol,K = 2,5698 kJ/kg.K
4. Fat
a. Asam palmitat (10%) (CH3(CH2)14(COOH)
O
׀׀
Cp = 1(-CH3) + 14(-CH2-) + 1(-CH2-) + 1(-C-OH)
= 1(8,8) + 14(7,26) + 1(19,1)
= 129,54 kal/mol,K = 2,1136 kJ/kg.K
b. Asam stearat (3%) (CH3(CH2)16 COOH
O
׀׀
Cp = 1(-CH3) + 16(-CH2-) + 1(-C-OH)
= 1(8,8) + 16(7,26) + 1(19,1)
= 144,06 kal/mol,K = 2,1188 kJ/kg.K
5. Glukosa (C6H12O6)
׀ ׀
Cp = 1(-CH2OH) + 1(-O-) + 1(-OH) + 2(-CH) + 3(-CHOH)
׀ ׀
= 1(8,4) + 1(8,4) + 1(10,7) + 2(4,4) + 3(18,2)
= 100 kal/mol K = 2,3444 kJ/kg.K
7. Fruktosa (C6H12O6)
׀ ׀ ׀
Cp = 1(-O-) + 2(-CH2OH) + 1(-CH) + 2(-CHOH) + 1(-C-OH)
׀ ׀
= 1(8,4) + 2(17,5) + 1(4,4) + 2(18,2) + 1(26,6)
= 110,8 kal/mol K = 2,5755 kJ/k.K
Panas penguapan (Hvl)
Tangki Perebusan
303
∫ Cp.dT
F2udara
298
Qo – Qi
Keluar-Masuk
(152.317,184-30.462,3078) kJ/Jam
= 121854,8762kJ/Jam
Uap superpanas pada 1 atm, 150̊C, 2776,3 kJ/Kg
(Reklaitis, 1983)
Uap jenuh pada 1 atm, 100̊C 2676 kJ/Kg pada 100̊C
(Reklaitis, 1983)
HL (100̊C) = 419,064 kJ/Kg
(Reklaitis, 1983)
Lamda = [H (150̊C) – Hv (100̊C)] + [Hv (100̊C) – Hl (100̊C)]
(2776,3-2676) + (2676-419,064)
= 2357,236 kJ/kg
Jumlah steam yang diperlukan (m) = Q/lamda
121854,8762kJ/Jam
=
2357,236kJ/kg
51.694 kg/jam
2. Reaktor Hidrolisis
323 323 323
∫
298
∫ F4SeratCp.dT+F∫ 5UdaraCp.dT
Cp.dT+ F 4LemakCp.dT+
298 298
∫298
303
+ F5HCl ∫298 Cp.dT
= (887,6263 kg/jam) (64,2450 kJ/kg) + (763,8889 kg/jam) (105
kJ/kg) + (130,0505 kg/jam) (64,2975 kJ/kg) + (21,4646 kg/jam)
(35,41 kJ/kg) + (63,1313 kg/jam) (66,1725 kJ/kg) + (27,7778
(kg/jam) (64,2450 kJ/kg) + (238,6364 kg/jam) (21 kJ/kg) +
(140,1515 kg/jam) (11,9831 kJ/kg)
= 159.008,8242 kJ/jam
353 353 353
Panas Keluar = F6HCL ∫298 Cp.dT + F6Pati ∫298 Cp.dT + F6Udar ∫ Cp.dT+ F6Protein
298
353
FGlukosa ∫298 Cp.dT
= (140,1515 kg/jam) (131,8141 kJ/kg) + (17,75253 kg/jam)
(141,3390 kJ/kg) + (905,8726 kg/jam) (231 kJ/kg) + (130,0505
(kg/jam) (141,4545 kJ/kg) + (21,4646 kg/jam) (77,902 kJ/kg) +
(63,1313 kg/jam) (145,5795 kJ/kg) + (27,7778 kg/jam)
(141,3390 kJ/kg) + (966,5264 kg/jam) (128,942 kJ/kg)
= 388.050,5596 kJ/jam
r = 1043,8485 kg/jam
r. ΔHr25 = [(-5830,8333) - (-4769,8148 + (-13564,6272))] kJ/kg x 1043,8485
kg/jam
= 13.051.873,19 kJ/jam
5634,1049 kg/jam
3. Pendingin-01
Temperatur dasar = 25°C = 298 K
Panas masuk ke Cooler = panas keluar Reaktor = 388.050,5596 kJ/jam
F7HCL ∫298 Cp.dT + F7Pati ∫298 Cp.dT + F7Air ∫298 Cp.dT+ F7Protein
∫
298
Cp.dT + F 7Abu∫Cp.dT + F 7LemakCp.dT+
298
∫ F7SeratCp.dT
298
∫298 +
333 333
F7Glukosa ∫ Cp.dT + F7HMF ∫ Cp.dT
298 298
F13HCL ∫
298
Cp.dT + F13Pati ∫
298
Cp.dT + F13Udara∫ Cp.dT+ F13Protein
298
∫
298
Cp.dT+ F 13Lemak ∫
298
Cp.dT+ F 13Glukosa ∫
298
Cp.dT + F13HMF
333
∫
298
Cp.dT
353
∫298 Cp.dT
= (140,1515 kg/jam) (131,8141 kJ/kg) + (17,75253 kg/jam)
(141.339 kJ/kg) + (901.3432 kg/jam) (231 kJ/kg) + (0,0033
(kg/jam) (141,4545 kJ/kg) + (62,8156 kg/jam) (145,5795 kJ/kg)
+ (952,0768 kg/jam) (128,942 kJ/kg) + (9,6653 kg/jam)
(100,3750 kJ/kg)
= 362.071,3195 kJ/jam
Panas yang dilepas steam (Q) = Qo – Qi
(362.071,3195-230.409,0215) kJ/jam
= 131.662,298 kJ/jam
Uap superpanas pada 1 atm, 150°C, 2776,3 kJ/Kg pada 150°C
(Reklaitis, 1983)
Uap jenuh pada 1 atm, 100°C 2676 kJ/Kg
(Reklaitis, 1983)
HL (100°C) = 419,064 kJ/Kg
(Reklaitis,
1983)
Lamda = [H(150°C) – Hv (100°C)] + [Hv (100°C) – Hl(100°C)]
= [2776,3-2676] + [2676-419,064]
= 2357,236 kJ/kg
131.662,298 kJ/ jam
Jumlah steam yang diperlukan (m) = Q/lamda =
2357,236kJ/kg
= 55,8545 kg/jam
5. Evaporator-1
Panas masuk ke Evaporator-01 = Panas keluar Heater-01
= 362.071,3195 kJ/jam
376 376 376
376 376
= 324.879,5141 kJ/jam
333 333 353
F17Pati ∫298 Cp.dT + F17Udara∫ Cp.dT + F17Protein
298
∫298 Cp.dT+ F17Lemak
= 145.779,2692 kJ/jam
333 333
= 145.161,8981 kJ/jam
383 383 383
F23Pati ∫
298
Cp.dT + F23Udara∫ Cp .dT + F23Protein
298
∫
298
Cp.dT + F23Lemak
∫
298
∫ .dT+ F22AirCp .dT+∫F22Udara.HVL
Cp.dT+ F23GlukosaCp
298 298
kJ/kg)
1.067.117,096 kJ/jam
Panas yang dilepas steam (Q) = Qo–Qi
(1.067.117,096-145.161,8981) kJ/jam
= 921.955,1979 kJ/jam
Uap super panas pada 1 atm, 150°C, H (150°C) = 2776,3 kJ/kg
(Reklaitis, 1983)
Uap jenuh pada 1 atm, 100°C 2676 kJ/kg
(Reklaitis, 1983)
HL (100°C) = 419,064 kJ/kg
(Reklaitis, 1983)
8. Cooler-3
383 383 383
F21Pati ∫
298
Cp.dT + F21Air ∫
298
Cp.dT + F21Protein ∫
298
Cp.dT + F21Lemak
383 383
∫
298
Cp .dT+ F21GlukosaCp∫.dT
298
= 339.972,9183 kJ/kg
333 333 333
F23Pati ∫298 Cp.dT + F23Air ∫298 Cp.dT + F23Protein 298
∫ Cp.dT+ F23Lemak
333 333
= 145.161,8981 kJ/jam
Kristalizer
Panas masuk ke Kristalizer = panas keluar Cooler-03
= 145.161,8981 kJ/jam
288 288 288
F25Pati ∫298 Cp.dT + F25Udara∫ Cp.dT + F25Protein
298
∫298 Cp.dT+ F25Lemak
288 288
- 28.705,76263 kJ/jam
5.857,8577 kg/jam
- 22.005,71959 kJ/jam
348 348 348
348
∫298 Cp.dT
(48,988917 kg/jam) (210 kJ/kg) + (22,4376 kg/jam) (128,7750
= 150.037,5805 kJ/jam
172.043,3001kJ/ jam
=
2357,236kJ/kg
72,9852 kg/jam
11. Kondensor
1.370.329,812 kJ/jam
303 303
F15Udara ∫
298
Cp.dT + F15Udara.HVL+ F15HCL ∫
298
Cp.dT+¿ F15HCL.HVL
1.193.816,341 kJ/jam
Panas yang diserap air pendingin (Q) = Qo–Qi
(1.193.816,341-1.370.329,812) kJ/jam
- 176.513,4712 kJ/jam
2528,9566 kJ/kg (Reklaitis, 1983)
2576,4251 kJ/kg (Reklaitis, 1983)
Lamda = H[25°C] – H[50°C]
= 2528,9566 – 2576,4251
= -47,4685 kJ/kg
Jumlah air pendingin yang diperlukan (m) = Q/lamda
−176.513,4712 kJ/ jam
=
−47,4685kJ/kg
3.718,5391 kg/jam