Neraca Panas Cepties 19juni

APPENDIKS B NERACA PANAS Kapasitas pabrik : 30.000 ton/tahun = 91.000 Kg/hari Operasi : 330 hari/tahun Satuan panas : kCal Suhu Reference : 25°C Basis waktu : 1 hari = 24 jam Bahan baku : 97456,243 Kg CPO/hari

Data-data perhitungan 1. Perhitungan Cp (Heat Capacity) a. CH3--= 36.84 kJ/kmol°C b. ---CH2--- = 30.4 kJ/kmol°C c. d. e.

---COOH ---CH= ---O---

= = =

79.97 kJ/kmol°C 15.91 kJ/kmol°C 35.17 kJ/kmol°C

f.

---C---

=

53 kJ/kmol°C

g. h. i.

---CH-----OH ---ONa

= = =

20.93 kJ/kmol°C 44.8 kJ/kmol°C 0.035 kJ/kmol°C

(Coulson dan Richardson's vol.6, 2

n

)

a. Heat Capacity (Cp) Trigliserida 1 kJ/kg°C = 0.24 1. Tri-Palmitat (C51H98O6) CH3--= 3 x 36,84 = 110.52 ---CH2--- = 44 x 30,4 = 1337.6 ---O--= 3 x 53 = 105.51

---C---

=

---CH---

=

3 x 35,17 =

1 x 20,93 = = 1733,56 x 0,24 =

kcal/kg°C kJ/kmol°C kJ/kmol°C kJ/kmol°C

159 kJ kJ/kmol°C 20.93 kJ/kmol°C 1733.56 kJ/kmol°C 416.05 kcal/kmol °C

1

B-11

APPENDIKS B M Tri-Palmitat 807.34 807.34 kg/k kg/kmo moll Cp = 416,05/ 807,34 = 0.5153 kcal/kg°C 2. Tri-Miristat (C45H86O6) CH3--= 3 x 36,84 = ---CH2--- = 38 x 30,4 = ---O--= 3 x 35,17 =

---C---

=

---CH---

=

3 x 53

=

110.52 kJ/kmol°C 1155.2 kJ/kmol°C 105.51 kJ/kmol°C 159 kJ/kmol°C

1 x 20,93 = 20.93 kJ/kmol°C = 1551.2 kJ/kmol°C 1551,2 x 0,24 = 372.28 372.28 kcal/ kcal/km kmol° ol°C C BM Tri-Miristat Tri-Miristat 723.17 723.17 kg/km kg/kmol ol Cp = 372,28/ 723,17 = 0.5148 kcal/kg°C 3. Tri-Stearat (C57H110O6) CH3--= 3 x 36,84 = ---CH2--- = 50 x 30,4 = ---O--= 3 x 35,17 =

---C---

=

3 x 53

=

110.52 kj/kmol°C 1520 kj/kmol°C 105.51 kj/kmol°C 159 kj/kmol°C

1 x 20,93 = 20.93 kj/kmol°C = 1915.96 kj/kmol°C 1915,96 x 0,24 = 459.83 kcal/kmol °C BM Tri-Stearat = 891.5 kg/kmol Cp = 459,83/ 891,5 = 0.5158 kcal/kg°C ---CH---

=

4. Tri-Oleat (C57H104O6) CH3--= 3 x 36,84 = ---CH2--- = 44 x 30,4 = ---CH= = 6 x 15,91 = ---O--= 3 x 35,17 =

110.52 1337.6 95.46 105.51

kj/kmol°C kj/kmol°C kj/kmol°C kj/kmol°C

B-11

APPENDIKS B ---C---

=

3 x 53

=

159 kj/kmol°C

1 x 20,93 = 20.93 kj/kmol°C = 1829.02 kj/kmol°C 1829,02 x 0,24 = 438.96 kcal/kmol °C BM Tri-Oleat = 885.45 kg/kmol Cp = 438,96/ 885,45 = 0.4958 kcal/kg°C ---CH---

=

5. Tri-Linoleat (C57H98O6) CH3--= 3 x 36,84 = ---CH2--- = 38 x 30,4 = ---CH= = 12 x 15,91 = ---O--= 3 x 35,17 =

---C---

=

3 x 53

=

110.52 1155.2 190.92 105.51

kj/kmol°C kj/kmol°C kj/kmol°C kj/kmol°C

159 kj/kmol°C

1 x 20,93 = 20.93 kj/kmol°C = 1742.08 kj/kmol°C 1742,08 x 0,24 = 418.1 kcal/kmol °C BM Tri-Linole Tri-Linoleat at 879.4 879.4 kg/km kg/kmol ol Cp = 418,1/ 879,4 = 0.4754 kcal/kg°C ---CH---

=

b. Heat Capacity FFA 1. Asam Palmitat (C16H32O2) CH3--= 1 x 36,84 = 36.84 kj/kmol°C ---CH2--- = 14 x 30,4 = 425.6 kj/kmol°C ---COOH = 1 x 79,97 = 79.97 kj/kmol°C = 542.41 kj/kmol°C 542,41 x 0,24 = 130.18 kcal/kmol °C BM As.Palmita As.Palmitatt 256.43 256.43 kg/km kg/kmol ol Cp = 130,18/ 256,43 = 0.5077 kcal/kg°C

B-11

APPENDIKS B

B-11

APPENDIKS B 2. Asam Miristat (C14H28O2) CH3--= 1 x 36,84 = 36.84 kJ/kmol °C ---CH2--- = 12 x 30,4 = 364.8 kJ/kmol °C ---COOH = 1 x 79,97 = 79.97 kJ/kmol °C = 481.61 kJ/kmol °C 481,61 x 0,24 = 115.586 kcal/kmol °C BM As.Miristat = 228 kg/kmol Cp = 481,61/ 228 = 0.507 kcal/kg°C 3. Asam Stearat (C18H36O2) CH3--= 1 x 36,84 = 36.84 kJ/kmol °C ---CH2--- = 16 x 30,4 = 486.4 kJ/kmol °C ---COOH = 1 x 79,97 = 79.97 kJ/kmol °C = 603.21 kJ/kmol °C 603,21 x 0,24 = 144.77 kcal/kmol °C BM As.Stearat = 284.48 kg/kmol Cp = 144,77/ 284,48 = 0.5089 kcal/kg°C 4. Asam Oleat (C18H33O2) CH3--= 1 x 36,84 = 36.84 kJ/kmol °C ---CH2--- = 14 x 30,4 = 425.6 kJ/kmol °C ---COOH = 1 x 79,97 = 79.97 kJ/kmol °C ---CH= = 2 x 15,91 = 31.82 kJ/kmol °C = 574.23 kJ/kmol °C 574,23 x 0,24 = 137.815 kcal/kmol °C BM As.Oleat = 282.47 kg/kmol Cp = 137,815/ 282,47 = 0.4879 kcal/kg°C 5. Asam Linoleat (C18H32O2) CH3--= 1 x 36,84 = ---CH2--- = 12 x 30,4 = ---COOH = 1 x 79,97 = ---CH= = 4 x 15,91 = = 542,25 x 0,24 =

36.84 364.8 79.97 63.64 545.25 130.86

kJ/kmol °C kJ/kmol °C kJ/kmol °C kJ/kmol °C kJ/kmol °C kcal/kmol °C

B-11

APPENDIKS B BM As.Linoleat = 280.45 kg/kmol Cp = 130,86/ 280,45 = 0.4666 kcal/kg°C c. Heat Capacity Komponen Na (Sabun) 1. Na-Palmitat (C16H31O2Na) CH3--= 1 x 36,84 = 36.84 kJ/kmol °C ---CH2--- = 14 x 30,4 = 425.6 kJ/kmol °C

1 x 53 = 53 kJ/kmol °C 1 x 0,035 = 0.035 kJ/kmol °C = 515.475 kJ/kmol °C 515,475 x 0,24 = 123.714 kcal/kmol °C BM Na-Palmitat = 278.43 kg/kmol Cp = 123,714/278,43 = 0.4443 kcal/kg°C ---C-----ONa

= =

2. Na-Miristat (C14H27O2Na) CH3--= 1 x 36,84 = ---CH2--- = 12 x 30,4 =

36.84 kJ/kmol °C 364.8 kJ/kmol °C

1 x 53 = 53 kJ/kmol °C 1 x 0,035 = 0.035 kJ/kmol °C = 454.675 kJ/kmol °C 454,675 x 0,24 = 109.122 kcal/kmol °C BM Na-Miristat = 250 kg/kmol Cp = 109,122/250 = 0.4365 kcal/kg°C ---C-----ONa

= =

3. Na-Stearat (C18H35O2Na) CH3--= 1 x 36,84 = ---CH2--- = 16 x 30,4 =

---C-----ONa

= =

1 x 53 = 1 x 0,035 = = 576,275 x 0,24 =

36.84 kJ/kmol °C 486.4 kJ/kmol °C 53 0.035 576.275 138.306

kJ/kmol °C kJ/kmol °C kJ/kmol °C kcal/kmol °C

B-11

APPENDIKS B BM Na-Stearat = 306.48 kg/kmol Cp = 138,306/ 306,48 = 0.4513 kcal/kg°C 4. Na-Oleat (C18H33O2Na) CH3--= 1 x 36,84 = ---CH2--- = 14 x 30,4 = ---CH= = 2 x 15,91 =

36.84 kj/kmol °C 425.6 kj/kmol °C 31.82 kj/kmol °C

1 x 53 = 53 kj/kmol °C 1 x 0,035 = 0.035 kj/kmol °C = 547.295 kj/kmol °C 547,295 x 0,24 = 131.351 kcal/kmol °C BM Na-Oleat = 304.47 kg/kmol Cp = 131,351/304,47 = 0.4314 kcal/kg°C ---C-----ONa

= =

5. Na-Linoleat (C18H31O2Na) CH3--= 1 x 36,84 = ---CH2--- = 12 x 30,4 = ---CH= = 4 x 15,91 =

36.84 kj/kmol °C 364.8 kj/kmol °C 63.64 kj/kmol °C

1 x 53 = 53 kj/kmol °C 1 x 0,035 = 0.035 kj/kmol °C = 518.315 kj/kmol °C 168,191 x 0,24 = 124.396 kcal/kmol °C BM Na-Linoleat = 302.45 kg/kmol Cp = 124,396/ 302,45 = 0.4113 kcal/kg°C ---C-----ONa

= =

d. Heat Capacity komponen lain 1. Cp H2O = (Perry,edisi 6) = 0.9987 kcal/kg°C pada suhu 0- 100 °C = 1.0043 kcal/kg°C pada suhu 100- 105 °C = 1.0301 kcal/kg°C pada suhu 105- 17041 °C 2. Cp uap air = 1.888 kj/kg°K (Appendiks A.2-12, Geankoplis) = 0.453 kcal/kg°C

B-11

APPENDIKS B

B-11

APPENDIKS B 3. Cp Gliserol 4. Cp NaOH = 5. Cp FFA = 6. Cp Impurities 7. Cp Phospatida

0.24 0.48 0.498 0.337 0.45

kcal/kg°C

(Coulson, edisi 6)

kcal/kg°C kcal/kg°C kcal/kg°C kcal/kg°C

2. Perhitungan ΔHf * Data untuk menentukan ΔHf komponen a. C=C = 147 kcal/mol C‒C = b. 83 kcal/mol C‒H = c. 99 kcal/mol C‒O = d. 84 kcal/mol e. O‒H = 111 kcal/mol f. C=O = 170 kcal/mol Na ‒ O = g. 20.083 kcal/mol a. ΔHf Trigliserida 1. Tri-Palmitat (C51H98O6) C‒C = 47 x 83 = C‒H = 98 x 99 = C‒O = 6 x 84 = C=O = 3 x 170 = =

3901 9702 504 510 14617

kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol

2. Tri-Miristat (C45H86O6) C‒C = 41 x 83 = C‒H = 86 x 99 = C‒O = 6 x 84 = C=O = 3 x 170 = =

3403 8514 504 510 12931


3. Tri-Stearat (C57H110O6) C‒C = 53 x 83 = C‒H = 110 x 99 = C‒O = 6 x 84 =

4399 10890 504

kcal/mol kcal/mol kcal/mol

B-11

APPENDIKS B C=O

=

3 x 170 = = 4. Tri-Oleat (C57H104O6) C=C = 3 x 147 = C‒C = 47 x 83 = C‒H = 104 x 99 = C‒O = 6 x 84 = C=O = 3 x 170 = =

510 16303

kcal/mol kcal/mol

441 3901 10296 504 510 15652

kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol

882 3901 10296 504 510 16093


b. ΔHf FFA 1. Asam Palmitat (C16H32O2) C‒C = 15 x 83 = C‒H = 31 x 99 = C‒O = 1 x 84 = O‒H = 1 x 111 = C=O = 1 x 170 = =

1245 3069 84 111 170 4679


2. Asam Miristat (C14H28O2) C‒C = 13 x 83 = C‒H = 27 x 99 = C‒O = 1 x 84 = O‒H = 1 x 111 = C=O = 1 x 170 = =

1079 2673 84 111 170 4117


5. Tri-Linoleat (C57H98O6) C=C = 6 x 147 = C‒C = 47 x 83 = C‒H = 104 x 99 = C‒O = 6 x 84 = C=O = 3 x 170 = =

B-11

APPENDIKS B

3. Asam Stearat (C18H36O2) C‒C = 17 x 83 = C‒H = 35 x 99 = C‒O = 1 x 84 = O‒H = 1 x 111 = C=O = 1 x 170 = =

1411 3465 84 111 170 5241


4. Asam Oleat (C18H33O2) C=C = 1 x 147 = C‒C = 16 x 83 = C‒H = 33 x 99 = C‒O = 1 x 84 = O‒H = 1 x 111 = C=O = 1 x 170 = =

147 1328 3267 84 111 170 5107

kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol kcal/mol

5. Asam Linoleat (C18H32O2) C=C = 2 x 147 = C‒C = 15 x 83 = C‒H = 31 x 99 = C‒O = 1 x 84 = O‒H = 1 x 111 = C=O = 1 x 170 = =

294 1245 3069 84 111 170 4973


c. ΔHf Komponen Na (Sabun) 1. Na-Palmitat (C16H31O2Na) C‒C = 15 x 83 = 1245 C‒H = 31 x 99 = 3069 C‒O = 1 x 84 = 84 C=O = 1 x 170 = 170 Na ‒ O = 1 x 20,0832 = 20.0832


B-11

APPENDIKS B =

4588.08

kcal/mol

B-11

APPENDIKS B 2. Na-Miristat (C14H27O2Na) C‒C = 13 x 83 = 1079 C‒H = 27 x 99 = 2673 C‒O = 1 x 84 = 84 C=O = 1 x 170 = 170 Na ‒ O = 1 x 20,0832 = 20.1 = 4026


3. Na-Stearat (C18H35O2Na) C‒C = 17 x 83 = 1411 C‒H = 35 x 99 = 3465 C‒O = 1 x 84 = 84 C=O = 1 x 170 = 170 Na ‒ O = 1 x 20,0832 = 20.1 = 5150


4. Na-Oleat (C18H33O2Na) C=C = 1 x 147 = 147 C‒C = 16 x 83 = 1328 C‒H = 33 x 99 = 3267 C‒O = 1 x 84 = 84 C=O = 1 x 170 = 170 Na ‒ O = 1 x 20,0832 = 20.1 = 5016


5. Na-Linoleat (C18H31O2Na) C=C = 2 x 147 = 294 C‒C = 15 x 83 = 1245 C‒H = 31 x 99 = 3069 C‒O = 1 x 84 = 84 C=O = 1 x 170 = 170 Na ‒ O = 1 x 20,0832 = 20.1 = 4882


B-11

APPENDIKS B d. ΔHf Gliserol C‒C = 2 x 83 = C‒H = 5 x 99 = C‒O = 3 x 84 = O‒H = 3 x 111 = = e. ΔHf komponen lain a. Larutan NaOH = -102 b. H2O = -68.3 c. Ion Na = -57.28 + d. Ion H = 0

166 495 252 333 1246


kcal/mol kcal/mol kcal/mol kcal/mol

B-11

APPENDIKS B Impurities Total

204.6581 204.658

0.337

0.0000 0

Suhu bahan keluar = 70 °C ΔT = 70 - 25 = 45 °C H minyak = m x Cp x ΔT Enthalphy bahan keluar

Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Phospatida Impurities Total

Massa (kg)

Cp (kcal/kg °C)

H (kcal)

0.000 0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000 0.0000

0 0 0 0 0

0.000 0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000 0.0000

0 0 0 0 0

0.000 204.658 204.658

0.0000 0 0.3370 3103.6402 3103.6402

Perhitungan massa steam (ms) adalah sebagai berikut : Steam jenuh yang digunakan = 250 °C H steam = ms x Hv = ms x 672,36 = 672.36 ms kcal H kondensat = ms x HI = ms x 260,486 = 260.486 ms kcal

B-11

APPENDIKS B Q loss

= = =

5% x (H steam - H kondensat) 5% x (672,36 ms - 260,486 ms) 20.5935

Neraca Panas : Hbahan masuk + Hsteam = Hbahan keluar + Hkondensat + Qloss 244977,25 + 672,36 ms = 2204795,2 + 260,486 ms + 20,5935 ms ms = 7.932 kg H Steam

=

H Kondensat = Q Loss

=

Q yang disupply

672.36 ms = 672,36 x 5008,729 = 5333 kcal 260.49 ms = 260,49 x 5008,729 = 2066.1772 kcal 20.594 ms = 20,594 x 5008,729 = 163.34782 kcal = = =

H Steam - H Kondensat 3367669 - 1304703,8 3267 kcal

Neraca panas pada Heater Masuk (kcal) Keluar (kcal) H minyak 0 H minyak 3103.640245 Q supply oleh steam 3267 Q Loss 163.3478167 Total 3266.988062 Total 3266.988062 2. Heater Degumming Suhu bahan masuk = 70 °C 45 °C ΔT = 70 - 25 °C = H minyak = m x Cp x ΔT Enthalphy bahan masuk

B-11

APPENDIKS B Enthalphy bahan masuk Komponen CPO

Massa (kg)

Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Phospatida Impurities Total

Cp (kcal/kg °C)

H (kcal)

0.000 0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000 0.0000

0 0 0 0 0

0.000 0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000 0.0000

0 0 0 0 0

0.000 204.658 204.658

0.0000 0.3370

0 0 0

Suhu bahan keluar 90 °C ΔT = 90 - 25 = 65 °C H minyak = m x Cp x Δ Enthalphy bahan keluar

Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat

Massa (kg)

Cp (kcal/kg °C)

H (kcal)

0.000 0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000 0.0000

0.000 0.000 0.000 0.000 0.000

0.000

0.0000

0.000

B-11

APPENDIKS B Asam miristat Asam stearat Asam oleat Asam linoleat Phospatida Impurities Total

0.000 0.000 0.000 0.000

0.0000 0.0000 0.0000 0.0000

0.000 0.000 0.000 0.000

0.000 204.658 204.658

0.0000 0.3370

0.000 4483.036 4483.036

Perhitungan massa steam (ms) adalah sebagai berikut : Steam jenuh yang diguna = 250 °C H steam = ms x Hv = ms x 672,36 = 672.36 ms kcal H kondensat = ms x HI = ms x 260,486 = 260.486 ms kcal Q loss

= = =

5% x (H steam - H kondensat) 5% x (672,36 ms - 260,486 ms) 20.5935 kcal

Neraca Panas : Hbahan masuk + Hsteam = Hbahan keluar + Hkondensat + Qloss 244977,25 + 672,36 ms = 3184704,244+260,486ms+20,5935ms ms = 11.457 kg H Steam

=

H Kondensat = Q Loss

=

672 ms = = 260 ms = = 20.6 ms = =

672,36 x 7513,094 7703 kcal 260,49 x 7513,094 2984.52 kcal 20,594 x 7513,094 235.953 kcal

B-11

APPENDIKS B Q yang disupply

= = =

H Steam - H Kondensat 5051504 - 1957086 4719 kcal

Neraca panas pada Heater Masuk (kcal) H minyak 0 Q supply oleh stea 4719 Total 4718.936926

0.051558

Keluar (kcal) H minyak 4483.036 Q Loss 235.952575 Total 4718.988484

1. PreHeater (Storage) Suhu bahan masuk = ΔT = 30 - 25°C = H minyak =

30 °C 5 °C m x Cp x ΔT

Enthalphy bahan masuk

Komponen CPO

Massa (kg)

Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat

Cp (kcal/kg

41165.517 1029.138 4210.110 37703.871 9449.357 1586.588 39.665 162.265 1453.170 364.194

Phospatida Impurities Total

87.711 204.658 97456.243

Suhu bahan keluar = ΔT = 70 - 25 = H minyak = m x Cp x ΔT

70 °C 45 °C

Enthalphy bahan keluar


Massa (kg)

Cp (kcal/kg

41165.517 1029.138 4210.110 37703.871 9449.357 1586.588 39.665 162.265 1453.170 364.194 87.711 204.658 97456.243 Perhitungan massa steam (ms) adalah sebagai berikut :

Steam jenuh yang digunakan H steam/ H vapor

H kondensat/ H liquid

Q loss

= = = = = = = = = =

250 ms x λ ms x 411,874 411.874 ms x HI ms x 260,486 260.486 5% x H steam 5% x 411,874 ms 20.594

Neraca Panas : H bahan masuk + H steam = H bahan keluar + H kondensat + Q loss 244977,25 + 411,874 ms = 2204795,2 + 260,486 ms + 20,5935 ms ms = 14983.97099 kg H Steam

=

H Kondensat

=

Q Loss

=

Neraca panas pada Heater Masuk (kcal) H minyak H steam Total

2. Heater Degumming Suhu bahan masuk = ΔT = 70 - 25 = H minyak =

411.874 ms = = 260.486 ms = = 20.594 ms = =

Keluar (kcal) 244977.250 H minyak 6171508.07 H kondensat Q loss 6416485.316 Total

2204795 3903114.666 308575.4033 6416485.316

70 °C 45 °C m x Cp x ΔT


Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat

Massa (kg)

Cp (kcal/kg

41165.517 1029.138 4210.110 37703.871 9449.357 1586.588 39.665

Asam stearat Asam oleat Asam linoleat

162.265 1453.170 364.194


87.711 204.658 97456.243 90 °C 65 °C

Suhu bahan keluar = ΔT = 90 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan keluar

Komponen CPO

Massa (kg)


Cp (kcal/kg

41165.517 1029.138 4210.110 37703.871 9449.357 1586.588 39.665 162.265 1453.170 364.194


87.711 204.658 97456.243

Perhitungan massa steam (ms) adalah sebagai berikut : Steam jenuh yang digunakan = H steam = = = H kondensat = = = Q loss = = =

250 ms x λ ms x 411,874 411.874 ms x HL ms x 260,486 260.486 5% x H steam 5% x 411,874 ms kcal 20.594


=

411.874 ms =

H Kondensat

=

Q Loss

=

Neraca panas pada Heater Masuk (kcal) H minyak H steam Total

3. Tangki Degumming Suhu bahan masuk = ΔT = 90 - 25 = H minyak = m x Cp x ΔT

= 260.486 ms = = 20.594 ms = =


3184704.244 1951557.333 154287.7016 5290549.279

90 °C 65 °C



Komponen

Cp (kcal/kg °C)

Massa (kg)

41165.517 1029.138 4210.110 37703.871 9449.357

0.51534 0.51479 0.51579 0.49575 0.47544

1586.588 39.665 162.265 1453.170 364.194

0.50766 0.50696 0.50889 0.48789 0.46661

87.711 204.658 97456.243

0.45000 0.33700

Cp (kcal/kg °C)

Massa (kg)

H3PO4

140.8243

0.1357

H2O

24.8513

0.9987

Total

165.6756

Komponen

Massa (kg)

Cp (kcal/kg °C)

H2O

65.7830

0.9987

Total

90 °C 65 °C

Suhu bahan keluar = ΔT = 90 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan keluar

Komponen CPO

Cp (kcal/kg °C)

Massa (kg)

Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities GumPhospat H2O

41165.517 1029.138 4210.110 37703.871 9449.357

0.51534 0.51479 0.51579 0.49575 0.47544

1586.588 39.665 162.265 1453.170 364.194

0.50766 0.50696 0.50889 0.48789 0.46661

204.658 228.535 90.634

0.33700 0.24450 0.99870

Total Perhitungan massa steam (ms) adalah sebagai berikut : Steam jenuh yang digunakan = H steam = = = H kondensat = = = Q loss = = =


Neraca Panas : 3185252,3758 + 672,36 ms

H bahan masuk + H steam = H bahan keluar + H kondensat + Q loss = 3191654,271 + 260,486 ms + 20,5935 ms ms = 48.94628252 kg

H Steam

=

H Kondensat

=

Q Loss

=

411.874 ms = = 260.486 ms = = 20.594 ms =

= Neraca panas pada tanki degumming Masuk (kcal) H minyak 3184704.244 H minyak H lar. H3PO4 219.644 H kondensat H Air wash 328.487 Q Loss H steam 20159.701 Total 3205412.077 Total

4. Cooler Suhu bahan masuk = ΔT = 90 - 25 = H minyak = m x Cp x ΔT

Keluar (kcal) 3191654.271 12749.8 1007.985 3205412.077

90 °C 65 °C


Komponen CPO

Cp (kcal/kg °C)

Massa (kg)

Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities H2O Total

41165.517 1029.138 4210.110 37703.871 9449.357

0.51534 0.51479 0.51579 0.49575 0.47544

1586.588 39.665 162.265 1453.170 364.194

0.50766 0.50696 0.50889 0.48789 0.46661

20.466

0.33700

0.453

0.99870

97184.793


70 °C 45 °C


Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat

Cp (kcal/kg °C)

Massa (kg)

41165.517 1029.138 4210.110 37703.871 9449.357

0.51534 0.51479 0.51579 0.49575 0.47544

FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat

1586.588 39.665 162.265 1453.170 364.194

0.50766 0.50696 0.50889 0.48789 0.46661

20.466 0.453

0.33700 0.99870

Impurities H2O Total

97184.793

Air yang digunakan ma x Cp x ΔT H air masuk = = ma x 0,9987 x (30-25) = 4.9935 ma x Cp x ΔT H air keluar = = ma x 0,9987 x (45-25) = 19.974 Perhitungan massa air yang digunakan : H bahan masuk = 3178133.394 H air = 4.9935 Enthalpy keluar sistem H bahan keluar = 2200246.196 H air = 19.974

ma (kcal)

ma (kcal) kcal ma (kcal) kcal ma (kcal)

Neraca panas : H bahan masuk + Hair = H bahan keluar + H air 3178133,394 + 4,994 ma = 2200246,394 + 19,974 ma ma = 65277.340 kg maka: H air masuk = 4,994 x 65279,519 = H air keluar = 19,974 x 65279,519 = Q yang diserap air pendingin = = Neraca panas pada cooler Masuk (kcal) H minyak H air

Total 5. Tangki Netralisasi Suhu bahan masuk = ΔT = 70 - 25 = H minyak = m x Cp x ΔT

325962.3994 kcal 1303849.6 kcal 1303893,1 - 326005,9 977887.2 kcal

Keluar (kcal) 3178133.394 H minyak 325962.399 H Air 3504095.793 Total

2200246.196 1303849.6 3504095.793

70 °C 45 °C


Komponen CPO

Massa (kg)

Cp (kcal/kg °C)


41165.517 1029.138 4210.110 37703.871 9449.357

0.51534 0.51479 0.51579 0.49575 0.47544

1586.588 39.665 162.265 1453.170 364.194

0.50766 0.50696 0.50889 0.48789 0.46661

20.466 0.453

0.33700 0.99870


97184.793 Larutan NaOH

Komponen

Cp (kcal/kg °C)

Massa (kg)

NaOH

667.9412

0.48

H2O

5371.3101

0.9987

Total R-COOH + NaOH → R-COONa + H2O

Reaksi : ΔHf 25 = ΔHr70 =

ΔHf Produk - ΔHf Reaktan -∑Hr + ΔHf 25 + ∑Hp 1. Asam Palmitat

C16H32O2 + NaOH → C16H31O2Na + H2O ΔHf As.Palmitat =

Komponen C16H32O2 NaOH C16H31O2Na H2O

4679 kcal/mol koefisien

ΔHf

Mol -1 -1 1 1

6184.121762 6184.121762 6184.121762 6184.121762

4679 -102 4588.0832 -68.3

ΔH25

Komponen

kgmol

C16H32O2 NaOH

T(°C) 6.184 6.184

Cp (kcal/kmol°C) 70 70

130.1784 19.31

ΔHr

Komponen Na-palmitat H2O ΔHp

kgmol

Cp (kcal/kmol°C)

T(°C) 6.184 6.184

70 70

123.714 17.1

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = (-353959,3405) + 39186,4915 - (-41600,451) -356249.618 kcal =

ΔH25 + ΔHp

2. Asam Miristat

C14H28O2 + NaOH → C14H27O2Na + H2O ΔHf As.Miristat = Komponen C14H28O2 NaOH C14H27O2Na H2O

4117 kcal/mol

koefisien

ΔHf

Mol -1 -1 1 1

173.8809587 173.8809587 173.8809587 173.8809587

4117 -102 4026.0832 -68.3

ΔH25

Komponen

kgmol

C14H28O2 NaOH

Cp (kcal/kmol°C)

T(°C) 0.174 0.174

70 70

115.5864 19.31

ΔHr

Komponen

kgmol

Na-miristat H2O

Cp (kcal/kmol°C)

T(°C) 0.174 0.174

70 70

109.122 17.1

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = (-9952,3897)+ 987,6421 - (-1055,516) = -10016.786 kcal

ΔH25 + ΔHp

3. Asam stearat

C18H36O2 + NaOH → C18H35O2Na + H2O ΔHf As.stearat = Komponen C18H36O2 NaOH C18H35O2Na H2O

5241 kcal/mol

koefisien

ΔHf

Mol -1 -1 1 1

570.1051476 570.1051476 570.1051476 570.1051476

5241 -102 5150.0832 -68.3

ΔH25

Komponen

kgmol

C18H36O2 NaOH

Cp (kcal/kmol°C)

T(°C) 0.570 0.570

70 70

144.7704 19.31

ΔHr

Komponen Na-stearat

kgmol

Cp (kcal/kmol°C)

T(°C) 0.570

70

138.306

H2O

0.570

70

17.1

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = (-32630,9943) + 3986,8992 - (-4209,439) = -32842.132 kcal

ΔH25 + ΔHp

4. Asam Oleat

C18H33O2 + NaOH → C18H32O2Na + H2O ΔHf As.oleat = Komponen C18H33O2 NaOH C18H33O2Na H2O

5107 kcal/mol

koefisien

ΔHf

Mol -1 -1 1 1

5141.938809 5141.938809 5141.938809 5141.938809

5107 -102 5016.0832 -68.3

ΔH25

Komponen

kgmol

C18H33O2 NaOH

Cp (kcal/kmol°C)

T(°C) 5.142 5.142

70 70

137.8152 19.31

ΔHr

Komponen

kgmol

Na-Oleat H2O

Cp (kcal/kmol°C)

T(°C) 5.142 5.142

70 70

131.3508 17.1

ΔHp


ΔH25 + ΔHp

5. Asam linoleat

C18H32O2 + NaOH → C18H31O2Na + H2O ΔHf As.linoleat = Komponen C18H32O2 NaOH C18H31O2Na H2O

4973 kcal/mol

koefisien

ΔHf

Mol -1 -1 1 1

1297.956439 1297.956439 1297.956439 1297.956439

4973 -102 4882.0832 -68.3

ΔH25

Komponen C18H32O2 NaOH

kgmol

Cp (kcal/kmol°C)

T(°C) 1.298 1.298

70 70

130.8600 19.31

ΔHr

°

°

Na-linoleat H2O

1.298 1.298

70 70

124.3956 17.1

ΔHp


ΔH25 + ΔHp

1. Tri-Palmitat

C51H98O6 + 3NaOH → 3C15H31COONa + C3H8O3 ΔHf Tri-Palmitat = 14617 kcal/mol Komponen C51H98O6 NaOH C15H31COONa Gliserol

koefisien

ΔHf

Mol -1 -3 3 1

509.8907161 509.8907161 509.8907161 509.8907161

14617 -102 4588.0832 1246

ΔH25

Komponen

kgmol

C51H98O6 NaOH

Cp (kcal/kmol°C)

T(°C) 0.5099 0.5099

70 70

416.0544 19.31

ΔHr

Komponen

kgmol

Na-palmitat Gliserol

Cp (kcal/kmol°C)

T(°C) 0.5099 0.5099

70 70

123.714 21.77

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 356540,8793 + 3338,1423 - (-9989,472) = 349889.550 kcal

ΔH25 + ΔHp

2. Tri-Miristat

C45H86O6 + 3NaOH → 3C13H27COONa + C3H8O3 ΔHf Tri-Miristat = 12931 kcal/mol Komponen C45H86O6 NaOH C13H27COONa Gliserol

koefisien

ΔHf

Mol -1 -3 3 1

14.23092671 14.23092671 14.23092671 14.23092671

12931 -102 4026.0832 1246

ΔH25

Komponen

kgmol

T(°C)

Cp (kcal/kmol°C)

C45H86O6 NaOH

0.0142 0.0142

70 70

372.2784 19.31

ΔHr

Komponen

kgmol

Na-miristat Gliserol

Cp (kcal/kmol°C)

T(°C) 0.0142 0.0142

70 70

109.122 21.77

ΔHp


ΔH25 + ΔHp

3. Tri-Stearat

C57H110O6 + 3NaOH → 3C17H35COONa + C3H8O3 ΔHf Tri-Stearat = 16303 kcal/mol Komponen C57H110O6 NaOH C17H35COONa Gliserol

koefisien

ΔHf

Mol -1 -3 3 1

47.22501066 47.22501066 47.22501066 47.22501066

16303 -102 5150.0832 1246

ΔH25

Komponen

kgmol

C57H110O6 NaOH

Cp (kcal/kmol°C)

T(°C) 0.0472 0.0472

70 70

459.8304 19.31

ΔHr

Komponen

kgmol

Na-stearat Gliserol

Cp (kcal/kmol°C)

T(°C) 0.0472 0.0472

70 70

138.306 21.77

ΔHp


ΔH25 + ΔHp

4. Tri-Oleat

C57H104O6 + 3NaOH → 3C17H33COONa + C3H8O3 ΔHf Tri-oleat = 15652 kcal/mol Komponen C57H104O6 NaOH C17H33COONa Gliserol ΔH25

koefisien

ΔHf

Mol -1 -3 3 1

425.8159277 425.8159277 425.8159277 425.8159277

15652 -102 5016.0832 1246

Komponen

kgmol

C57H104O6 NaOH

Cp (kcal/kmol°C)

T(°C) 0.4258 0.4258

70 70

438.9648 19.31

ΔHr

Komponen

kgmol

Na-Oleat Gliserol

Cp (kcal/kmol°C)

T(°C) 0.4258 0.4258

70 70

131.3508 21.77

ΔHp


ΔH25 + ΔHp

5. Tri-linoleat

C57H98O6 + 3NaOH → 3C17H31COONa + C3H8O3 ΔHf Tri-linoleat = 16093 kcal/mol Komponen C57H98O6 NaOH C17H31COONa Gliserol

koefisien

ΔHf

Mol -1 -3 3 1

107.4523235 107.4523235 107.4523235 107.4523235

16093 -102 4882.0832 1246

ΔH25

Komponen

kgmol

C57H98O6 NaOH

T(°C) 0.1075 0.1075

Cp (kcal/kmol°C) 70 70

418.0992 19.31

ΔHr

Komponen Na-linoleat Gliserol

kgmol

Cp (kcal/kmol°C)

T(°C) 0.1075 0.1075

70 70

124.3956 21.77

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 11309,314 + 706,7625 - (-2115,029) 9901.048 kcal =

ΔH25 + ΔHp

Enthalpy bahan keluar dari tangki netralisasi pada suhu 70 ° C

Komponen Trigliserida Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat

Massa (kg)

40753.862 1018.847 4168.009 37326.833 9354.864

Cp(kcal/kg°C)

ΔT

45 45 45 45 45

0.51534 0.51479 0.51579 0.49575 0.47544

FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities Air NaOH sisa gliserol Na-palmitat Na-Miristat Na-Stearat Na-Oleat Na-Linolenat

0.79329 0.01983 0.08113 0.72659 0.18210

45 45 45 45 45

0.5077 0.5070 0.5089 0.4879 0.4666

20.4658 5612.3873 0.6673 101.6246 2147.7516 53.2042 218.1464 1954.5106 490.0638

45 45 45 45 45 45 45 45 45

0.3370 0.9987 0.48 0.24 0.4443 0.4365 0.4513 0.4314 0.4113

Total Enthalpy Reaksi

Komponen Palmitat Miristat Stearat Oleat Linoleat Total

TGS

FFA 349889.550 9784.022 32344.018 397932.509 9901.048

Jumlah -356249.618 -10016.786 -32842.132 -296212.430 -74771.569


-6360.068 -232.764 -498.114 101720.079 -64870.521 29758.612


Neraca Panas : H bahan masuk + H steam + H NaOH = H bahan keluar + H reaksi + H kondensat + Q loss 2200246,196 + 672,36 ms + 28424,6956 = 2447427,226 + 257787,541 + 260 ms = 1900.04417 kg H Steam

=

H Kondensat

=

Q Loss

=

411.874 ms = = 260.486 ms = = 20.594 ms = =

Neraca panas pada tangki netralisasi Masuk (kcal) H minyak 2200246.196 H minyak H lar. NaOH 28424.696 H reaksi H steam 782578.792 Q Loss H kondensat Total 3011249.684 Total

6. Heater Bleaching Suhu bahan masuk = ΔT = 70 - 25 = H minyak = m x Cp x ΔT

Keluar (kcal) 2447427.226 29758.612 39128.940 494934.906 3011249.684

70 °C 45 °C

Enthalphy bahan masuk Komponen

Massa (kg)

Trigliserida Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities Air Total

Cp(kcal/kg°C)

ΔT

40065.580 1001.640 4097.616 36696.429 9196.872

45 45 45 45 45

0.51534 0.51479 0.51579 0.49575 0.47544

0.780 0.019 0.080 0.714 0.179

45 45 45 45 45

0.50766 0.50696 0.50889 0.48789 0.46661

20.120 561.193 91641.2234

45 45

0.33700 0.99870

120 °C 95 °C

Suhu bahan keluar = ΔT = 120 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan keluar Komponen Trigliserida Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat

Massa (kg)

40065.580 1001.640 4097.616 36696.429 9196.872

Cp(kcal/kg°C)

ΔT

95 95 95 95 95

0.51534 0.51479 0.51579 0.49575 0.47544

FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities Air Total

0.780 0.019 0.080 0.714 0.179

95 95 95 95 95

0.50766 0.50696 0.50889 0.48789 0.46661

20.120 561.193 91641.223

95 95

0.33700 0.99870




=

H Kondensat

=

Q Loss

=

Neraca panas pada Heater bleaching Masuk (kcal) H minyak H steam Total

7. Heater Deodorisasi Suhu bahan masuk = ΔT = 120 - 25 = H minyak = m x Cp x ΔT

411.874 ms = = 260.486 ms = = 20.594 ms = =


120 °C 95 °C

4408909.718 4621395.89 365361.8257 9395667.433

Enthalphy bahan masuk Komponen

Massa (kg)


Cp(kcal/kg°C)

ΔT

39945.384 998.635 4085.323 36586.340 9169.281

95 95 95 95 95

0.51534 0.51479 0.51579 0.49575 0.47544

0.778 0.019 0.080 0.712 0.178

95 95 95 95 95

0.50766 0.50696 0.50889 0.48789 0.46661

6.036 559.510 91352.276

95 95

0.33700 0.99870

160 °C 135 °C

Suhu bahan keluar = ΔT = 160 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan keluar Komponen Trigliserida Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities Air Total

Massa (kg)

Cp(kcal/kg°C)

ΔT

39945.384 998.635 4085.323 36586.340 9169.281

135 135 135 135 135

0.51534 0.51479 0.51579 0.49575 0.47544

0.778 0.019 0.080 0.712 0.178

135 135 135 135 135

0.50766 0.50696 0.50889 0.48789 0.46661

6.036 559.510 91352.276

135 135

0.33700 0.99870

Perhitungan massa steam (ms) adalah sebagai berikut : Steam jenuh yang digunakan = ms x λ H steam = = ms x 411,874 = 411.874 H kondensat = ms x HL

250

= = = = =

Q loss

ms x 260,486 260.486 5% x H steam 5% x 411,874 ms kcal 20.594


=

H Kondensat

=

Q Loss

=

411.874 ms = = 260.486 ms = = 20.594 ms = =

Neraca panas pada Heater deodorisasi Masuk (kcal) Keluar (kcal) H minyak 4395234.018 H minyak 6245858.868 H steam 5827656.55 H kondensat 3685648.875 Q loss 291382.8276 Total 10222890.570 Total 10222890.570

8. Deodorisasi

160 °C 135 °C

Suhu bahan masuk = ΔT = 160 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan masuk Komponen Trigliserida Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities

Massa (kg)

ΔT

Cp(kcal/kg°C)

39945.384 998.635 4085.323 36586.340 9169.281

135 135 135 135 135

0.51534 0.51479 0.51579 0.49575 0.47544

0.778 0.019 0.080 0.712 0.178

135 135 135 135 135

0.50766 0.50696 0.50889 0.48789 0.46661

6.036

135

0.33700

Air Total

559.510 91352.276

135

0.99870

235 °C 210 °C

Suhu bahan keluar = ΔT = 235 - 25 = H minyak = m x Cp x ΔT Enthalphy bahan keluar Komponen

Massa (kg)


Cp(kcal/kg°C)

ΔT

39743.017 993.575 4064.627 36400.991 9122.829

210 210 210 210 210

0.51534 0.51479 0.51579 0.49575 0.47544

0.774 0.019 0.079 0.709 0.178

210 210 210 210 210

0.50766 0.50696 0.50889 0.48789 0.46661

0.000 556.675 90883.473

210 210

0.33700 0.99870



Neraca Panas : H bahan masuk + H steam = H bahan keluar + H vapor + H kondensat + Q loss 6245858,868 + 411,874 ms = 9666134,587 + 315204,3194 + 260,486 ms + 20,5935 ms ms = 75520.42914 kg H Steam

=

H Kondensat

=

Q Loss

=

411.874 ms = = 260.486 ms = = 20.594 ms = =

Neraca panas pada Tangki deodorisasi Masuk (kcal) Keluar (kcal) H minyak 6245858.868 H minyak 9666134.587 H steam 31104901.23 H kondensat 19672014.51 Q loss 1555245.062 H vapor 6457365.946 Total 37350760.100 Total 37350760.100


235 °C 210 °C


Komponen CPO

Cp (kcal/kg °C)

Massa (kg)


39743.017 993.575 4064.627 36400.991 9122.829

0.51534 0.51479 0.51579 0.49575 0.47544

0.774 0.019 0.079 0.709 0.178

0.50766 0.50696 0.50889 0.48789 0.46661

0.000 556.675

0.33700 0.99870

90883.473


140 °C 115 °C


Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA

Cp (kcal/kg °C)

Massa (kg)

39743.017 993.575 4064.627 36400.991 9122.829

0.51534 0.51479 0.51579 0.49575 0.47544

Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities H2O Total

0.774 0.019 0.079 0.709 0.178

0.50766 0.50696 0.50889 0.48789 0.46661

0.000 556.675

0.33700 0.99870

90883.473

Air yang digunakan ma x Cp x ΔT H air masuk = = ma x 0,9987 x (30-25) = 4.9935 ma x Cp x ΔT H air keluar = = ma x 0,9987 x (45-25) = 19.974 Perhitungan massa air yang digunakan : H bahan masuk = 9666134.587 H air = 4.9935 Enthalpy keluar sistem H bahan keluar = 5293359.417 H air = 19.974

ma (kcal)

ma (kcal) kcal ma (kcal) kcal ma (kcal)

Neraca panas : H bahan masuk + Hair = H bahan keluar + H air 3178133,394 + 4,994 ma = 2200246,394 + 19,974 ma ma = 291897.812 kg maka: H air masuk = 4,994 x 65279,519 = H air keluar = 19,974 x 65279,519 = Q yang diserap air pendingin = = Neraca panas pada cooler Masuk (kcal) H minyak Hair

1457591.723 kcal 5830366.9 kcal 1303893,1 - 326005,9 4372775.2 kcal

Keluar (kcal) 9666134.587 H minyak 1457591.723 H Air

Total 11123726.310 Total 10. Tangki Hodrogenasi Suhu bahan masuk = 140 °C ΔT = 140 - 25 = 115 °C H minyak = m x Cp x ΔT

5293359.417 5830366.9 11123726.310


Komponen CPO Trigliserida

Massa (kg)

Cp (kcal/kg °C)

Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat

39743.017 993.575 4064.627 36400.991 9122.829

0.51534 0.51479 0.51579 0.49575 0.47544

0.774 0.019 0.079 0.709 0.178

0.50766 0.50696 0.50889 0.48789 0.46661

0.000 556.675

0.33700 0.99870

FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities H2O Total

90883.473

Komponen

Cp (kcal/kg °C)

Massa (kg)

Nikel

18.1767

0.109

H2

409.8640

0.013

Total 1. Tri-oleat

Komponen C57H104O6(tak jenuh) H2 C17H33COO(jenuh) ΔH25

koefisien -1 -3 1

Komponen

ΔHf

Mol 43231.58068 43231.58068 43231.58068

kgmol

C57H104O6(tak jenuh) H2

Cp (kcal/kmol°C)

T(°C) 43.2316 43.2316

14911 0 15460

140 140

417.0768 0.007

ΔHr

Komponen

kgmol

C17H33COO(jenuh)

Cp (kcal/kmol°C)

T(°C) 43.2316

140

437.9424

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 23734137,79+3123935,4627-(-2975146,672) = kcal 23837839.071

ΔH25 + ΔHp

2. Tri-linooleat

Komponen C57H98O6(tak jenuh) H2 C18H35COO(jenuh) ΔH25

koefisien

ΔHf

Mol -1 -3 1

10912.47487 10912.47487 10912.47487

13936 0 15460

Komponen

kgmol

C57H98O6(tak jenuh) H2

Cp (kcal/kmol°C)

T(°C) 10.9125 10.9125

140 140

365.6640 0.007

ΔHr

Komponen

kgmol

C18H35COO(jenuh)

Cp (kcal/kmol°C)

T(°C) 10.9125

140

437.9424

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 16630611,7+788540,8468-(-658411,974) = kcal 16721307.586

ΔH25 + ΔHp

1. Asam Oleat

C18H33O2 + H2 → C18H36O2

Komponen

koefisien

C18H33O2 H2 C18H36O2

Mol -1 -1 1

ΔHf

706.4373708 706.4373708 706.4373708

5107 0 5241

ΔH25

Komponen

kgmol

C18H33O2 H2

Cp (kcal/kmol°C)

T(°C) 0.706 0.706

140 140

137.8152 0.007

ΔHr

Komponen

kgmol

C18H36O2

Cp (kcal/kmol°C)

T(°C) 0.706

140

144.77

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 94662,6077+16874,7514-(-16064,854) = 95227.082 kcal

ΔH25 + ΔHp

2. Asam linoleat

C18H32O2 + 2H2 → C18H36O2

Komponen

koefisien

C18H32O2 H2 C18H36O2

Mol -1 -2 1

177.0475793 177.0475793 177.0475793

ΔHf

4973 0 5241

ΔH25

Komponen

kgmol

T(°C)

Cp (kcal/kmol°C)

C18H32O2 H2

0.177 0.177

140 140

130.8600 0.007

ΔHr

Komponen

kgmol

C18H36O2

Cp (kcal/kmol°C)

T(°C) 0.177

140

144.77

ΔHp

Enthalpy reaksi total untuk asam palmitat ( ΔH)= ΔH = 47448,751+4229,1561-(-3822,998) = 47731.831 kcal

ΔH25 + ΔHp

ΔH total panas reaksi pada FFA = ΔH1 + ΔH2

=

= 127602,213 + 55500,905 142958.913 kcal

ΔH total panas reaksi pada TGS = ΔH1 + ΔH2

= 29833219,927 + 18077564,525 = 40559146.657 kcal ΔH Total = ΔH total panas reaksi pada TGS + ΔH panas reaksi pada FFA

= =

183103,119 + 47910784,452 40702105.570 kcal


190 °C 165 °C


Komponen CPO

Cp (kcal/kg °C)

Massa (kg)


39743.017 993.575 49978.786 0.000 0.000

0.51534 0.51479 0.51579 0.49575 0.47544

0.774 0.019 0.970 0.000 0.000

0.50766 0.50696 0.50889 0.48789 0.46661

0.000 556.675

0.33700 0.99870

91273.817

Komponen

Massa (kg)

Cp (kcal/kg °C)

Nikel

18.1767

0.109

H2

19.5173

0.013

Total



Neraca Panas : H bahan masuk + H steam = H bahan keluar + H kondensat + H reaksi + Q 5293395,964 + 411,874 ms = 7809171,606 + 45794788,567 + 260,486 ms + 20,5935 ms ms = 330426.3352 kg H Steam

=

H Kondensat

=

Q Loss

=

411.874 ms = = 260.486 ms = = 20.594 ms = =

Neraca panas pada Heater deodorisasi Masuk (kcal) Keluar (kcal) H minyak 5293359.417 H minyak 7809171.606 H nikel 9.91 H kondensat 86071434.35 H H2 26.6412 Q loss 6804700.819 H steam 136094016.378 H reaksi 40702105.570 141387412.342 Total 141387412.342 Total

°C)

ΔT (°C)

H (kcal)

0.51534 0.51479 0.51579 0.49575 0.47544

5 5 5 5 5

106071.138 2648.933 10857.748 93459.102 22462.865

0.50766 0.50696 0.50889 0.48789 0.46661

5 5 5 5 5

4027.209 100.542 412.878 3544.959 849.678

0.45 0.337

5 5

197.349 344.849 244977.250

°C)

ΔT (°C)

H (kcal)

0.51534 0.51479 0.51579 0.49575 0.47544

45 45 45 45 45

954640.242 23840.400 97719.730 841131.916 202165.787

0.50766 0.50696 0.50889 0.48789 0.46661

45 45 45 45 45

36244.881 904.875 3715.904 31904.632 7647.100

0.45000 0.33700

45 45

1776.140 3103.640 2204795.246

°C

Hv = sat'd vapor *0,24 HI = sat'd liquid * 0,24 (appendiks geankoplis A.2.9)

ms kcal

ms kcal

ms kcal

672,36 x 14983,971 6171508.07 kcal 260,486 x 14983,971 3903114.666 kcal 20,594 x 14983,971 308575.4033 kcal

°C)

ΔT (°C)

H (kcal)

0.51534 0.51479 0.51579 0.49575 0.47544

45 45 45 45 45

954640.242 23840.400 97719.730 841131.916 202165.787

0.50766 0.50696

45 45

36244.881 904.875

0.50889 0.48789 0.46661

45 45 45

3715.904 31904.632 7647.100

0.45000 0.33700

45 45

1776.140 3103.640 2204795.246

°C)

ΔT (°C)

H (kcal)

0.51534 0.51479 0.51579 0.49575 0.47544

65 65 65 65 65

1378924.794 34436.133 141150.721 1214968.323 292017.248

0.50766 0.50696 0.50889 0.48789 0.46661

65 65 65 65 65

52353.717 1307.041 5367.416 46084.468 11045.811

0.45000 0.33700

65 65

2565.536 4483.036 3184704.244

°C

ms kcal

ms kcal

ms kcal

672,36 x 7491,9855

3085754.03 kcal 260,486 x 7491,9855 1951557.333 kcal 20,594 x 7491,9855 154287.7016 kcal

ΔT (°C)

H (kcal)

65 65 65 65 65

1378924.794 34436.133 141150.721 1214968.323 292017.248

65 65 65 65 65

52353.717 1307.041 5367.416 46084.468 11045.811

65 65

2565.536 4483.036 3184704.244 3185252.3758

ΔT (°C)

H (kcal) 5

95.5493

5

124.0952 219.6444

ΔT (°C)

H (kcal)

= = =

5

328.4872 328.4872

ΔT (°C)

H (kcal)

65 65 65 65 65 65 65 65 65 65 65 65 65 65 65

°C

ms kcal

ms kcal

ms kcal

672,36 x 16,3614 20159.7 kcal 260,486 x 16,3614 12749.82135 kcal 20,594 x 16,3614

1378924.794 34436.133 141150.721 1214968.323 292017.248

21214.22759 529.7866626 2171.549554 18691.82035 4492.573049

52353.717 1307.041 5367.416 46084.468 11045.811

805.4417972 20.10832821 82.57563808 708.9918213 169.9355474

4483.036 3631.991 5883.571

68.96978322 55.8767806

3191654.271

49102.37339

90.51648146

1007.985058 kcal

ΔT (°C)

H (kcal)

65 65 65 65 65

1378924.794 34436.133 141150.721 1214968.323 292017.248

65 65 65 65 65

52353.717 1307.041 5367.416 46084.468 11045.811

65

448.304

65

29.418 3178133.394

ΔT (°C)

H (kcal)

45 45 45 45 45

954640.242 23840.400 97719.730 841131.916 202165.787

45 45 45 45 45

36244.881 904.875 3715.904 31904.632 7647.100

45 45

310.364 20.366 2200246.196

ΔT (°C)

H (kcal)

Panas reaksi Komponen As.Palmitat As.Miristat

45 45 45 45 45

954640.242 23840.400 97719.730 841131.916 202165.787

45 45 45 45 45

36244.881 904.875 3715.904 31904.632 7647.100

45 45

310.364 20.366 2200246.196

ΔT (°C)

H (kcal) 5

1603.0588

5

26821.6367 28424.6956

H (kcal) -28935505.72 630780.4197 28373265.16 -422375.5163 -353835.658

H (kcal)

ΔT

45 45

36226.758 5373.693 41600.451 H (kcal)

ΔT

45 45

34427.8098 4758.6817 39186.4915

As.stearat As.Oleat As.Linoleat Na-palmitat Na-Miristat Na-Stearat Na-Oleat Na-Linoleat H2O NaOH Gliserol Panas r Komponen tri-palmitat tri-miristat tri-stearat tri-oleat tri-linoleat

- ΔHr

H (kcal) -715867.907 17735.85779 700059.2066 -11876.06948 -9948.9120

H (kcal)

ΔT

45 45

904.422 151.094 1055.516 H (kcal)

ΔT

45 45

853.8407 133.8014 987.6421

- ΔHr

H (kcal) -2987921.079 58150.72506 2936088.943 -38938.18158 -32619.59221

H (kcal)

ΔT

45 45

3714.046 495.393 4209.439 H (kcal)

ΔT

45

3548.2033

45

438.6959 3986.8992

- ΔHr

H (kcal) -26259881.5 524477.7585 25792392.88 -351194.4207 -294205.2845

H (kcal)

ΔT

45 45

31888.680 4468.088 36356.767 H (kcal)

ΔT

45 45

30392.8999 3956.7219 34349.6218

- ΔHr

H (kcal) -6454737.372 132391.5568 6336731.326 -88650.42479 -74264.91399

H (kcal)

ΔT

45 45

7643.276 1127.859 8771.135

45 45

7265.7032 998.7775 8264.4806

- ΔHr

H (kcal) -7453072.597 156026.5591 7018263.085 635323.8322 356540.8793

H (kcal)

ΔT

45 45

9546.402 443.070 9989.472 H (kcal)

ΔT

45 45

2838.6279 499.5144 3338.1423

- ΔHr

H (kcal) -184020.1133 4354.663573 171884.6848 17731.73468 9950.969809

ΔT

H (kcal)

45 45

238.404 12.366 250.770 H (kcal)

ΔT

45 45

69.8808 13.9413 83.8222

- ΔHr

H (kcal) -769909.3488 14450.85326 729638.2021 58842.36329 33022.06982

H (kcal)

ΔT

45 45

977.197 41.036 1018.233 H (kcal)

ΔT

45 45

- ΔHr

H (kcal) -6664870.901 130299.6739 6407784.364 530566.6459 403779.7831

293.9176 46.2640 340.1816

H (kcal)

ΔT

45 45

8411.319 370.013 8781.332 H (kcal)

ΔT

45 45

2516.9068 417.1506 2934.0574

- ΔHr

H (kcal) -1729230.242 32880.41099 1573773.55 133885.5951 11309.31407

H (kcal)

ΔT

45 45

2021.658 93.371 2115.029 H (kcal)

ΔT

45 45

601.4968 105.2657 706.7625

- ΔHr

H=mxCpxΔT

945093.839 23601.996 96742.533 832720.597 200144.129

21002.08532 524.488796 2149.834059 18504.90215 4447.647319

46628.95764 0.893526566 7757.420528 54387.2717

18.122 0.452 1.858 15.952 3.824

0.402720899 0.010054164 0.041287819 0.354495911 0.084967774

310.364 252229.103 14.413 1097.545 42943.693 1045.035 4429.956 37943.620 9070.194 2447427.226

6.896978322 5605.091177 0.320291478 24.3898971 954.3042998 23.22299203 98.44346952 843.1915644 201.5598588 3011250

°C

ms kcal

ms kcal

ms

,486 ms + 20,5935 ms


*panas masuk sistem H bahan masuk = H steam = H NaOH = *panas keluar sistem H Bahan keluar = H reaksi = H kondensat = Q loss =

2200246.196 411.874 28424.6956 2447427.226 29758.612 260.486 20.594

H=mxCpxΔT

929132.393 23203.388 95108.673 818656.993 196763.947 17.816 0.445 1.827 15.683 3.759 305.122 25220.874 2088430.919

H=mxCpxΔT

1961501.718 48984.930 200784.976 1728275.874 415390.554

37.612 0.939 3.856 33.108 7.936 644.147 53244.067 4408909.718

°C

ms kcal

ms kcal

ms kcal


H=mxCpxΔT

1955617.213 48837.975 200182.621 1723091.047 414144.382 37.500 0.936 3.845 33.009 7.912 193.244 53084.334 4395234.018

H=mxCpxΔT

2779034.987 69401.333 284470.041 2448603.066 588520.965 53.289 1.330 5.463 46.908 11.243 274.610 75435.633 6245858.868

°C

ms kcal

ms kcal

ms


H=mxCpxΔT

2779034.987 69401.333 284470.041 2448603.066 588520.965 53.289 1.330 5.463 46.908 11.243 274.610

75435.633 6245858.868

Panas Uap (dari steam table Geanko Hv pada suhu 250 = Enthalpy bahan baku terikut vapor Komponen Trigliserida

H=mxCpxΔT

4301042.961 107410.708 440267.169 3789641.739 910839.181 82.474 2.059 8.455 72.598 17.401

Tri-Palmitat Tri-Miristat Tri-Stearat Tri-Oleat Tri-Linoleat FFA As.Palmitat As.Miristat As.Stearat As.Oleat As.linoleat Impurities Air Steam Total

0.000 116749.843 9666134.587

°C

ms kcal

ms kcal

ms


ΔT (°C)

H (kcal)

210 210 210 210 210

4301042.961 107410.708 440267.169 3789641.739 910839.181

210 210 210 210 210

82.474 2.059 8.455 72.598 17.401

210 210

0.000 116749.843 9666134.587

ΔT (°C)

H (kcal)

115 115 115 115 115

2355333.050 58820.149 241098.688 2075280.000 498792.885

115 115 115 115 115

45.164 1.128 4.630 39.756 9.529

115 115

0.000 63934.438 5293359.417

ΔT (°C)

H (kcal)

C_H C_C

115 115 115 115 115

2355333.050 58820.149 241098.688 2075280.000 498792.885

115 115 115 115 115

45.164 1.128 4.630 39.756 9.529

115 115

0.000 63934.438 5293359.417

ΔT (°C)

C_O O_H C=C C=O CH2 CH3 CH _C=O_ _CH_ _ _CH= O _COOH _OH Ona

H (kcal) 5

9.9063

5

26.6412 36.5475

H (kcal) -644626099.5 0 668360237.3 23734137.79

H (kcal)

ΔT

115 115

2073552.273 34.801 2073587.074 H (kcal)

ΔT

115

- ΔHr

H (kcal) -152076249.8 0 168706861.5 16630611.7

2177288.3528 2177288.3528

5293395.9640

H (kcal)

ΔT

115 115

458884.409 8.785 458893.194 H (kcal)

ΔT

115

549589.0751 549589.0751

- ΔHr

H (kcal) -3607775.653 0 3702438.261 94662.60769

H (kcal)

ΔT

115 115

11196.148 0.569 11196.717 H (kcal)

ΔT

115

11761.1904 11761.1904

- ΔHr

H (kcal) -880457.6118 0 927906.3631 47448.75125

ΔT

H (kcal)

115 115

2664.371 0.143 2664.514 H (kcal)

ΔT

115

2947.5936 2947.5936

- ΔHr

ΔT (°C)

H (kcal)

165 165 165 165 165

3379390.898 84394.127 4253495.505 0.000 0.000

165 165 165 165 165

64.801 1.618 81.463 0.000 0.000

165 165

0.000 91732.020 7809160.431

ΔT (°C)

H (kcal)

7809171.6062

5

9.9063

5

1.2686 11.1749

°C

ms kcal

ms kcal

ms

loss


Asumsi : Kehilangan panas = 5% x panas masuk = 5% x (Hmasuk + Q suplai) Q masuk = Q keluar H masuk + Q suplai = H keluar + Q Loss = H keluar + 5% x (H masuk + Q suplai) = 95% x ( Hmasuk + Q suplai) H masuk + Q suplai = H keluar/ 0,95 Q suplai =

(H keluar - Hmasuk)/ 0,95

Q Loss =

5% x ( Hmasuk + Q suplai)

Q suplai = Q steam ms x λ Q steam = Q steam/ λ

ms =

* H masuk + Q suplai = * Q sup supla laii = = * Q loss = =

H keluar / 0,95

(H kelu keluar ar - H mas masuk uk)) / 0,95 0,95 2 0 6 2 9 6 6 .3 1 2 5 % x (H masuk + Q suplai) 115397.1781

Q suplai = Q steam mxλ Q steam = Q steam / λ m = m = 5008.731583

H keluar 64.8696215 89.8696215

pada FFA kgmol 6.1841 0.1739

Cp(kcal/kgC) 0.5077 0.5070

Cp(kJ/kmolC) 542.41 481.61

Cp(kcal/kmolC) 130.1784 115.5864

0.5701 5.1419 1.2980

eaksi pada Trigliserida kgmol

0.5089 0.4879 0.4666 0.4443 0.4365 0.4513 0.4314 0.4113 0.9987 0.48 0.24

603.21 574.23 545.25 515.475 454.675 576.275 547.295 518.315 75.214 80.81 91.087

144.7704 137.8152 130.86 123.714 109.122 138.306 131.3508 124.3956 17.1 19.31 21.77

Cp(kcal/kgC)

Cp(kJ/kmolC)

Cp(kcal/kmolC)

0.50989

0.51534

1733.560

416.0544

0.01423 0.04723 0.42582 0.10745

0.51479 0.51579 0.49575 0.47544

1551.160 1915.960 1829.020 1742.080

372.2784 459.8304 438.9648 418.0992

suhu tanpa steam

55.366809

ms kcal

ms kcal

25

80.36680899

plis, App A.2-9) 2801.5 kj/kg =

Massa (kg)

672.36 kcal/kg

Hv(kcal/kg)

H = m x Hv (kcal)

202.366 5.059 20.697 185.349 46.452

672.36 672.36 672.36 672.36 672.36

136062.997 3401.574925 13915.53378 124621.3359 31232.64249

0.004 0.0001 0.0004 0.004 0.001

672.36 672.36 672.36 672.36 672.36

2.648532665 0.066213317 0.270872659 2.425815145 0.607958634

6.036 2.835 9135.2276 9604.030

672.36 672.36 672.36

4058.399095 1905.816828 6142161.627 6457365.946

0.000

99.000 83.000

Komponen TGS t jenuh as.oleat TGS jenuh as.oleat

Cp (Kcal/kg) 1737.82 1824.76

Cp(Kj/mol) 0.4953 0.5164

84.000 111.000 147.000 170.000

30.400 36.840 20.930 53.000 20.930 15.910 35.170 79.970 44.800 0.035

TGS t jenuh as.lino TGS jenuh as lino

1523.6 1824.76

0.4374 0.5164

Cp(kcal/kmol) ΔHf 417.0768 14911 437.9424 15460

365.6640 437.9424

13936 15460


190 °C 165 °C

Enthalphy bahan masuk Komponen CPO

Cp (kcal/kg °C)

Massa (kg)


39743.017 993.575 49978.786 0.000 0.000

0.5153 0.5148 0.5158 0.4958 0.4754

165 165 165 165 165

0.774 0.019 0.970 0.000 0.000

0.5077 0.5070 0.5089 0.4879 0.4666

165 165 165 165 165

0.000

0.3370

165

556.675

0.9987

165


ΔT (°C)

3 4

7

91273.817


H (k

80 °C 55 °C

Enthalphy bahan keluar Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities

Cp (kcal/kg °C)

Massa (kg)

ΔT (°C)

39743.017 993.575 49978.786 0.000 0.000

0.5153 0.5148 0.5158 0.4958 0.4754

55 55 55 55 55

0.774 0.019 0.970 0.000 0.000

0.5077 0.5070 0.5089 0.4879 0.4666

55 55 55 55 55

0.000

0.3370

55

H (k

11 1

H2O

556.675

Total

0.9987

55 2

91273.817

Air yang digunakan ma x Cp x ΔT H air masuk = = ma x 0,9987 x (30-25) = 4.9935 ma (kcal) H air keluar = ma x Cp x ΔT = ma x 0,9987 x (45-25) = 19.974 ma (kcal) Perhitungan massa air yang digunakan : H bahan masuk = 7809160.431 kcal H air = 4.9935 ma (kcal) Enthalpy keluar sistem H bahan keluar = 2603053.477 kcal H air = 19.974 ma (kcal) Neraca panas : H bahan masuk + Hair = H bahan ke luar + H air 3178133,394 + 4,994 ma = 2200246,394 + 19,974 ma ma = 347525.580 kg maka: H air masuk = 4,994 x 65279,519 = H air keluar = 19,974 x 65279,519 = Q yang diserap air pendingin = =

1735368.985 kcal 6941475.9 kcal 1303893,1 - 326005,9 5206107.0 kcal

Neraca panas pada cooler Masuk (kcal) Keluar (kcal) H minyak 2603053.477 7809160.431 H minyak H air 6941475.9 1735368.985 h air 9544529.416 Total 9544529.416 Total

12. Tangki Votator Suhu bahan masuk = ΔT = 80 - 25 = H minyak = m x Cp x ΔT

80 °C 55 °C

Enthalphy bahan masuk Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat

Massa (kg)

39743.017 993.575 49978.786

Cp (kcal/kg °C)

0.5153 0.5148 0.5158

ΔT (°C)

55 55 55

H (k

11 1

Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities H2O Total

0.000 0.000

0.4958 0.4754

55 55

0.774 0.019 0.970 0.000 0.000

0.5077 0.5070 0.5089 0.4879 0.4666

55 55 55 55 55

0.000 556.675

0.3370 0.9987

55 55 2

91273.817

Suhu bahan keluar = 50 - 25 = ΔT = H minyak = m x Cp x ΔT

50 °C 25 °C

Enthalphy bahan keluar Komponen CPO Trigliserida Tri-palmitat Tri-miristat Tri-stearat Tri-oleat Tri-linoleat FFA Asam palmitat Asam miristat Asam stearat Asam oleat Asam linoleat Impurities H2O Total

Cp (kcal/kg °C)

Massa (kg)

ΔT (°C)

39743.017 993.575 49978.786 0.000 0.000

0.5153 0.5148 0.5158 0.4958 0.4754

25 25 25 25 25

0.774 0.019 0.970 0.000 0.000

0.5077 0.5070 0.5089 0.4879 0.4666

25 25 25 25 25

0.000 556.675

0.3370 0.9987

25 25

91273.817

Air yang digunakan ma x Cp x ΔT H air masuk = = ma x 0,9987 x (30-25) = 4.9935 ma (kcal) H air keluar = ma x Cp x ΔT = ma x 0,9987 x (45-25) = 19.774 ma (kcal) Perhitungan massa air yang digunakan : H bahan masuk = 2603053.477 kcal

H (k

1

H air = Enthalpy keluar sistem H bahan keluar = H air =

4.9935 ma (kcal) 1183206.126 kcal 19.774 ma (kcal)

Neraca panas : H bahan masuk + Hair = H bahan ke luar + H air 3178133,394 + 4,994 ma = 2200246,394 + 19,974 ma ma = 96062.200 kg maka: H air masuk = 4,994 x 65279,519 = H air keluar = 19,974 x 65279,519 = Q yang diserap air pendingin = =

479686.5971 kcal 1899533.9 kcal 1303893,1 - 326005,9 1419847.4 kcal

Neraca panas pada cooler Masuk (kcal) Keluar (kcal) H minyak 1183206.126 2603053.477 H minyak H air 1899533.9 479686.597 H air 3082740.074 Total 3082740.074 Total

cal)

79390.898 84394.127 53495.505 0.000 0.000 64.801 1.618 81.463 0.000 0.000 0.000 91732.020 09160.431

cal)

26463.633 28131.376 17831.835 0.000 0.000 21.600 0.539 27.154 0.000 0.000 0.000

30577.340 03053.477

cal)

26463.633 28131.376 17831.835

Neraca Panas Cepties 19juni

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