Pembuatan Silikon Karbida (SiC) dari Pasir Silika (SiO2) dan Karbon (C) dengan Kapasitas 30.000 Ton/Tahun
= 82,1869 kmol/jam Massa impuritis
= 3.295,3842 kg/jam Mol SiC murni =
SiO
= 121,5447 kg/jam Na
40
3.295,3842
0962 ,
=
SiC Mr SiC F
= 3.787,8788 kg/jam Produk Akhir = Silikon Karbida (SiC) dengan kemurnian 87 % Kapasitas produksi = 3.787,8788 kg/jam Massa SiC Murni = 87 % x 3.787,8788 kg/jam
(4,93%) = 186,8109 kg/jam C (3,21%)
1 1000 kg
24 hari 1 ton
330 hari tahun 1 . jam
tahun
ton
.1 hari = 24 jam Kapasitas produksi tiap jam = 30.000 .
Kapasitas produksi Silikon Karbida = 30.000 ton/tahun, dengan kemurnian 87% (% berat) dengan ketentuan sebagai berikut: 1 tahun = 330 hari kerja
LAMPIRAN A
NERACA MASSA
A.1 PERHITUNGAN PENDAHULUAN A.1.1 Menghitung Kapasitas Produksi2
2 O (2,60%) = 98,5025 kg/jam
FePO
4
(2,26%) = 85,6365 kg/jam
A.1.2 Menghitung Kapasitas Feed
Reaksi : SiO
2
- 3 C → SiC + 2 CO
- Pereaksi pembatas :SiO
2
- Konversi SiO
2
sebesar 96 % Massa SiC murni = 3295,3842 kg/jam Mol SiC murni = 82,1869 kmol/jam Mol SiO
2
= 85,2960 kmol/jam Massa SiO
=
96 SiC N
2
2 O) = 6,5%
.60H
2
dalam 10Na
2
murni/ jam = x kg/jam Jumlah SiO
2
Basis Jumlah bahan baku SiO
) = 1% (Lowe, 1958)
4
4. Besi Fosfat ( FePO
.60H
= N SiO
2
%
2. Karbon (C) = 36%
) = 56,5%
2
1. Pasir Silika (SiO
Bahan baku dan Rasio (%wt)
= 85,2960 x 60,0864 = 5.125,1287 kg/jam
2
x Mr SiO
2
3. Larutan Natrium Silikat (10Na
2 O.30SiO
2 O.30SiO
O H SiO O Na massa x O H SiO O Na Mr SiO Mr x 2 2 2 2 2 2 2 60 .
36
2
O/jam=
1
56
= jam kg jam kg 5025 , 98 4.838,4606 5 ,
4
FePO
6
56 5 ,
2 O = 4.838,4606 556 6371 , jam kg jam kg 5 ,
.60H
2
2 O.30SiO
10Na
56
10 60 . 30 .
. 082 9129 , 3 4.838,4606
5 ,
murni = 4.838,4606 kg/jam C = jam kg jam kg
2
= 4.838,4606 kg/jam Jumlah bahan baku : SiO
x
total = 5.125,1287 kg/jam x kg/jam + 0,0592x kg/jam = 5.125,1287 kg/jam
2
= 0,0592 x kg/jam Jumlah bahan baku SiO
5 , 51
56 5 , 6 %
SiO murni massa 2 5 ,
=
30
10
30 .
A.2 PERHITUNGAN NERACA MASSA A.2.1 Mixer (M-101)
Fungsi: Tempat pencampuran semua bahan baku
10Na O.30SiO .60H 2 2 2 O
5 SiO 2 C SiO 2
4
6 FePO 4 C
10Na O.30SiO .60H 2 2 2 FePO 4 O Neraca massa komponen: Alur 4
(4)
F SiO = 4.838,4606 kg/jam
2 (4)
F FePO 85,6365 kg/jam
=
4 (4)
F C 3.082,9129 kg/jam
= Alur 5 (5)
F
10Na O.30SiO .60H O 556,6371 kg/jam
=
2
2
2 Alur 6 (6)
F FePO 85,6365 kg/jam
=
4 (6)
F C 3.082,9129 kg/jam
= (6) ( 4 ) ( 5 )
30 Mr SiO 2 F SiO =
2
5 F SiO F 2 10 Na O . 2 30 SiO . 2
30 H O 2 10 . 30 .
30 Mr Na O SiO H O 2 2 2 =
.125,1287 kg/jam
(6) ( 5 ) Mr Na O
10 2 F Na O =
2 F 10 Na O .
2 30 SiO . 2
30 H O 2 10 . 30 .
30 Mr Na O SiO H O 2 2 2 = 98,5025 kg/jam
(6) ( 5 ) Mr H O
60 F H O 2 =
2 10 . 30 .
30 F Na O SiO H O 2 2 2 Mr 10 Na O . 2 30 SiO . 2
30 H O 2 = 171,4665 kg/jam
- 4.838,4606 5.125,1287 C - 3.082,9129 3.082,9129
- 85,6365 85,6365 Na
H
10Na 2 O.30SiO 2 .60H 2 O
30 o
7
6
8
30
o
C, 1 atm
Fungsi : Mengubah dan membentuk slurry menjadi pellet
Total 8.563,6471 8.563,6471 A.2.2 Pelletizing Machine (PL-102)
Subtotal 556,6371 8.007,0100 8.563,6471
2 O - - 171,4665
2 O - - 98,5025
10Na 2 O.30SiO 2 .60H 2 O SiO 2 C FePO 4
4
FePO
2
SiO
2 O 556,6371 - -
.60H
2
2 O.30SiO
10Na
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 5 Alur 4 Alur 6
Tabel A.1 Neraca massa pada Tangki Mixer
Neraca massa total :
C, 1 atm
F
(6)
Neraca massa komponen: Alur 6
F
(6)
SiO
2 =
C, 1 atm H 2 O
40 o
4.838,4606 kg/jam F
(6)
4 = 85,6365 kg/jam
2 O = 171,4665 kg/jam SiO 2 C FePO 4
H
(6)
98,5025 kg/jam F
=
Na
(6)
3.082,9129 kg/jam F
=
C
FePO
2 O
Alur 7
Dari Tabel 20.44 Perry Handbook, moisture requirements untuk mengubah dan membentuk slurry menjadi pellet berkisar antara 13,0 O.
- – 13,9 % H
2 Misalkan, jumlah total = X kg/jam
= 8.563,6471 + 0,139 X
X X = 9.747,0158 kg/jam (7)
F H O (0,139 x 9.747,0158)
=
2
- – 171,4665 1.183,3687 kg/jam
= Alur 8 (8)
F SiO 5.125,1287 kg/jam
=
2 (8)
F FePO = 85,6365 kg/jam
4 (8)
F C = 3.082,9129 kg/jam
(8)
F Na O 98,5025 kg/jam
=
2 (8)
F H O 1.354,8352 kg/jam
2 = Neraca massa total :
Tabel A.2 Neraca massa pada Pelletizing Machine (L-102)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 6 Alur 7 Alur 8
- SiO 5.125,1287 5.125,1287
2
- C 3.082,9129 3.082,9129
- FePO 85,6365 85,6365
4
- Na O 98,5025 98,5025
2 H O 171,4665 1.183,3687 1.354,8352
2 Subtotal 8.563,6471 1.183,3687 9.747,0158 Total 9.747,0158 9.747,0158
- Komposisi gas alam (alur 22) :
X
C
4 H
10
= 1,25 % (Speight, dkk., 2006)
X
(12)
O
2
= 21 %
(12)
X
N
2
= 79 %
4
2 →
CO
2
2 O
Konversi CH
4 ≈ 100%
(10)
= 1,25 %
= 90 %
X
Kiln Preheater (B-102) Udara E-139 Gas Alam B-101
30 o C, 2 atm 30 o C, 2 atm 863 o C, 1 atm O 2 N 2 CO 2 H 2 O FC 13 10
12 11 Dimana :
X
(10)
CH
4
8
(10)
A.2.3 Burner (B-101)
C
2 H
6
= 7,5 %
X
(10)
C
3 H
Fungsi : Tempat pembakaran gas alam sebagai sumber panas Rotary
- Komposisi Udara :
- Reaksi :
1. CH
- 2O
- 2H
- 2
- 3H
- 5O
- 4H
2
4CO
13 O 2 →
10
4 H
C
2 O = 4 4.
2
= 3 σ H
= -5 σ CO
2
= -1 σ O
8
σ C
2 H 6 ≈ 100%
Konversi C
2
OKonversi C
2 H 6 ≈ 100%
= 4 σ H
C, maka jumlah gas alam yang dibutuhkan adalah 600 kg/jam dengan kebutuhan udara (excess 20%) sebesar 16.958,4138 kg/jam.
o
C sampai 863
kiln preheater dari 30 o
Berdasarkan energi yang dibutuhkan untuk menaikkan suhu rotary
Karena pembakaran dengan menggunakan oksigen berlebih dari udara, maka reaksi pembakaran gas alam mempunyai konversi yang mendekati 100%.
2
σ C
σ CO
13
2
= -
2
= -1 σ O
10
2
O2
3CO
C
2
O2
2CO
7 O 2 →
6
2 H
2 O = 2 2.
2 H
= 1 σ H
2
= -2 σ CO
2
= -1 σ O
4
σ CH
→
Konversi C
6
≈ 100% σ C
2
8
3 H
3. C
2 O = 3
= 2 σ H
2
σ CO
7
2
= -
2
= -1 σ O
6
2 H
3 H
- 2
- 5H
4 H
2 O = 5
Perhitungan neraca massa :
(% CH MrCH ) (% C H MrC H ) (% C H MrC H ) (% C H MrC H ) 4 4 2 6 2 6 3 8 3 8 4 10 4 10 Mr gas alam = 100 % ( , 9 16 , 0425 ) ( , 075 30 , 07 ) ( , 0125 44 , 096 ) ( , 0125 58 , 124 )
=
100 %
= 17,9712 kg/kmol
Alur 10 (10)
F = 600 kg/jam 10
(10) kg 600
N = F = jam = 33,3867 kmol/jam kg
Mr gas alam 17 , 9712 kmol (10) (10)
N CH = 0,9 x N = 30,0480 kmol/jam
4 (10) (10)
F CH = N CH x Mr CH = 482,0449 kg/jam
4
4
4 (10) (10)
N C H = 0,075 x N = 2,5040 kmol/jam
2
6 (10) (10)
F C H = N C H x Mr C H = 75,2953 kg/jam
2
6
2
6
2
6 (10) (10)
N C H = 0,0125 x N = 0,4173 kmol/jam
3
8 (10) (10)
F C H = N C H x Mr C H = 18,4027 kg/jam
3
8
3
8
3
8 (10) (10)
N C H = 0,0125 x N = 0,4173 kmol/jam
4
10 (10) (10)
F C H = N C H x Mr C H = 24,2571 kg/jam
4
10
4
10
4
10 Alur 12 (12)
F = 16.958,4138 kg/jam
(12) 12 kg 16.958,413
8 N = F = jam = 587,8065 kg/jam kg 28 , 8503
Mr gas alam kmol (12) (12) (12)
N O = X O x N = 123,4394 kmol/jam
2
2 (12) (12)
F O = N O x Mr O = 3.949,9115 kg/jam
2
2
2 (12) (12) (12)
N N = X N x N = 464,3671 kmol/jam
2
2 (12) (12)
F N = N N x Mr N = 13.008,5023 kg/jam
2
2
2
- – (1 x 30,0480) =
- – (1 x 2,5040) =
- – (1 x 0,4173) =
- – (1 x 0,4173) =
2
(13)
O
2
x Mr O
2
= 1.592,9880 kg/jam F
(13)
N
= F
2
(12)
N
2
= 13.008,5023 kg/jam N
(13)
CO
2
= N
= N
O
O
4 H
6
)
3 H
8
)
2
13
x r C
10
(13)
) = 123,4394
2
7
x (1 x1,6693)
2
13
x(1 x 0,4173) = 49,7800 kmol/jam
F
(12)
2 – (2 x r
x r C
) + (3 x r C
CO
2
x Mr CO
2
= 1.671,2871 kg/jam N
(13)
H
4
2 H
= N
6
) + (4 x r C
3 H
8
) + (5 x r C
4 H
10
) = (2 x (1 x 30,0480) + (3 x 1 x 2,540) + (4 x (1 x 0,4173)
(13)
2
CH
3 H
4
)
2
7
x r C
2 H
6
)
8
CO
)
2
13
x r C
4 H
10
) = (123,4394 x (1 x 30,0480) + (2 x (1 x 2,540) + (3 x (1 x 0,4173)
F
(13)
2 H
7
(10)
C
2 H 6 – r C
2 H
6
= N
(10)
C
2 H 6 – (konversi x N (10)
2 H
(10)
6
) = 2,5040
N
(13)
C
3 H
8
= N
C
= N
C
(10)
CH
4
= N
(10)
CH
4 – r CH
4
= N
CH
6
4 – (konversi x N (10)
CH
4
) = 30,0480
N
(13)
C
2 H
Alur 13
3 H 8 – r C
N
(13)
C
4 H 10 – (konversi x N (10)
C
4 H
10
) = 0,4173
N
O
= N
2
= N
(12)
O
2 – (2 x r
CH
4
)
(10)
10
3 H
) = 0,4173
8
= N
(10)
C
3 H 8 – (konversi x N (10)
C
3 H
8
N
4 H
(13)
C
4 H
10
= N
(10)
C
4 H 10 – r C
(13)
- – (
- – (5 x r C
- – (
- – (2 x (1 x 20,0320) – (
- – (5 x (1 x 0,4173 – (
- – (
- – (5 x r C
- – (
- (4 x (1 x 0,4173) = 37,9773 kmol/jam
2
2 O = (2 x r CH
- (5 x (1 x 0, 4173)
= 71,3640 kmol/jam
(13) (13)
F H O = N H O x Mr H O = 1.285,6364 kg/jam
2
2
2 Neraca massa total:
Tabel A.3 Neraca massa pada Burner (B-101)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 10 Alur 12 Alur 13
CH 482,0449 - -
4
- C H 75,2953
2
6 C H
- 18,4027
3
6
- C H 24,2571
4
8
- O
3.949,9115 1.592,9880
2 N - 13.008,5023 13.008,5023
2
- CO
1.671,2871
2 H O - 1.285,6364 -
2 Subtotal 600,0000 16.958,4138 17.558,4138 Total 17.558,4138 17.558,4138
A.2.4 Rotary Kiln Preheater (B-102)
Fungsi: Pemanas awal bahan baku sampai suhu 617
C, sebelum dikirim ke Electric Furnace (B-103)
O 2 N 2 CO 2 625
C, 1 atm
H O 2 14 SiO 2 C 35 C, 1 atm FePO 4 H O 2 910Na O.30SiO .60H O 2 2 2 SiO 2 15 C FePO 4 617 C, 1 atm Na O 2 O 2 13 N 2 CO 2 863 C, 1 atm H O 2 Dimana :
Asumsi oksigen (O ) tidak bereaksi dengan pasir silika (SiO ) dan Karbon (C)
2
2 Neraca massa komponen Alur 9 :
Massa masuk alur 9 Rotary Kiln Preheater (B-102) = Massa keluar alur 8 Pelletizing
Machine (L-101) (9)
F SiO = 5.125,1287 kg/jam
2 (9)
F FePO 85,6365 kg/jam
=
4 (9)
F C 3.082,9129 kg/jam
= (9)
F Na O = 98,5025 kg/jam
2 (9)
F H O 1.354,8352 kg/jam
=
2
Alur 13 :
Massa masuk alur 13 Rotary Kiln Preheater (B-102) = Massa keluar alur 13 Burner (B-101)
(13)
F CO = 1.671,2871 kg/jam
2 (13)
F N = 13.008,5023 kg/jam
2 (13)
F O = 1.592,9880 kg/jam
2 (13)
F H O = 1.285,6364 kg/jam
2 Alur 15 : (15)
F SiO 5.125,1287 kg/jam
=
2 (15)
F FePO 85,6365 kg/jam
=
4 (15)
F C = 3.082,9129 kg/jam
(15)
F Na O = 98,5025 kg/jam
2 Alur 14 : (14) (13)
F CO = F CO = 1.671,2871 kg/jam
2
2 (14) (13)
F N N 13.008,5023 kg/jam
= F =
2
2 (14) (13)
F O O 1.592,9880 kg/jam
2 = F 2 = (14) (9) (13)
F H O = F H O + F H O
2
2
2 = (1.354,8352 + 1.285,6364) kg/jam = 2.640,4716 kg/jam
Neraca massa total
Tabel A.4 Neraca massa pada Rotary Kiln Preheater (B-102)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 9 Alur 13 Alur 15 Alur 14
- SiO 5.125,1287 5.125,1287 -
2 C - 3.082,9129 3.082,9129 -
- FePO 85,6365 85,6365 -
4
- Na O 98,5025 98,5025 -
2 O - - 1.592,9880 1.592,9880
2
13.008,5023 - 13.008,5023 - N
2
1.671,2871 - 1.671,2871 - CO
2 H
- O 1.354,8352 1.285,6364 2.640,4716
2 Subtotal 9.747,0158 17.558,4138 8.392,1806 18.913,2490 Total 27.305,4296 27.305,4296
A.2.5 Electric Furnace (B-103)
Fungsi: Tempat reaksi reduksi dimana terjadinya pembentukan SiC pada suhu 1600 C
N
2
17 CO o
2 1400
C, 1 atm
16
o Udara30 C, 1,2 atm o o
1600
C, 1 atm 617
C, 1 atm
SiC SiO 2
18 SiO 2
15 C C FePO 4 FePO 4 Na O 2 Na O 2 Reaksi :
- SiO + 3 C
2 → SiC + 2 CO
Konversi SiO sebesar 96 %
2
= -1
2
σ SiO = -3
σ C = 1
σ SiC = 2
σ CO
1
- CO + O
2
2 2 → CO
Konversi CO ≈ 100% = -1
σ CO
1
= - σ O
2
2
= 1 σ CO
2
85,2960
Alur 18
= C Ar C F ) 15 (
= kmol kg jam kg
0107 ,
12 3.082,9129
= 256,6805 kmol/jam F
(15)
Na
N
(15)
(18)
SiO
2 = N
(15)
SiO
2 – r SiO
2 =
C
3.082,9129 kg/jam N
Alur 15
0864 ,
F
(15)
SiO2 = 5.125,1287 kg/jam N
(15)
SiO2
= 2 2 ) 15 ( SiO Mr SiO F
= kmol kg jam kg
60 5.125,1287
=
= 85,2960 kmol/jam F
(15)
FePO
4 =
85,6365 kg/jam F
(15)
C
2 O = 98,5025 kg/jam
- – (0,96 x 85,2960)
- – 3 x r SiO
- – 3 x (0,96 x 85,2960)
3,1090 kmol/jam F
2 =
2 =
0,96 x 85,2960
=
82,1869 kmol/jam F
(18)
SiC = N
(18)
SiC x Mr SiC = 82,1869 x 40,0962
= 3.295,3842 kg/jam Alur 16
N
(16)
O
2
(18)
1
x r CO + r S =
2
1
x (1x(2 x r SiO
2
))
=
2
1
x (1x(2 x 0,96 x 85,2960))
= 82,1869 kmol/jam
SiC = r SiO
121,5447 kg/jam N
(18)
(15)
SiO
2 = N
(18)
SiO
2
x Mr SiO
2 = 3,1090 x 60,0864 = N
=
(18)
C
=
N
C
=
2 =
256,6805
= 10,1197 kmol/jam
F
(18)
C
=
N
(18)
C x Ar C
=
10,1197 x 12,0107
186,8109 kg/jam N
2 =
1x(2 x 0,96 x 85,2960)
F
(17)
4
F
(16)
N
2 =
8.661,1680 kg/jam N
(17)
CO
2 = r CO = 1x(2 x r SiO
2
)
=
=
8.661,1680 kg/jam
2 = 164,3739 x 44,0962 =
2
SiO
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 15 Alur 16 Alur 17 Alur 18
Tabel A.5 Neraca massa pada Electric Furnace (B-103)
Neraca massa total:
7.234,1854 kg/jam
x Mr CO
164,3739 kmol/jam F
2
CO
(17)
2 = N
CO
(17)
Alur 17
2 = 309,1795 x 28,0134 =
FePO
O
N
(16)
N
2 = 82,1869 x 31,9988 = 2.629,8837 kg/jam
x Mr O
2
(16)
2 ) 16 (
N
2 =
O
(16)
F
85,6365 - - 85,6365 Na
2 =
%
x Mr N
(16)
2
N
(16)
N
2 =
N
309,1795 kmol/jam F
21 %
=
79
21 %
82,1869 %
=
79 O N
5.125,1287 - - 186,8109 C 3.082,9129 - - 121,5447
2 O 98,5025 - - 98,5025
O
- 2.629,8837 - - N
2
- 8.661,1680 8661,1680 - CO
2
- 7234,1854 - SiC - - - 3.295,3842
2
Subtotal 8.392,1806 11.291,0517 15.895,3534 3.787,8788
Total 19.683,2323 19.683,2323
A.2.6 Mixing Point (M-102) FC FC M-102 O
2 O
2 N
2 N
2
22
2 CO
24 CO
2 o o 1031
2 H O
C, 5 atm H
2 O 625
C, 5 atm
FC O
2
23 N
2 o 1400
C, 5 atm Neraca massa komponen Alur 22
(22)
F CO 1.671,2871 kg/jam
=
2 (22)
F N 13.008,5023 kg/jam
2 = (22)
F O = 1.592,9880 kg/jam
2 (22)
F H O 2.640,4716 kg/jam
=
2 Alur 23 (21)
F N 8.661,1680 kg/jam
=
2 (21)
F CO 7234,1854 kg/jam
=
2 Alur 24 (24) (22) (23)
F CO F CO + F CO
=
2
2
2
8.905,4725 kg/jam
= (24) (22) (23)
F N = F N + F N
2
2
2
21.669,6703 kg/jam
= (24)
F O 1.592,9880 kg/jam
=
2 (24)
F H O = 2.640,4716 kg/jam
2
- 1.592,9880
- 2.640,4716
2 O
90 o
2 N
2 CO
2 H
2 O H
2 O H
2 O 600 o
o
2 H
C, 148 atm 100 o
C, 1 atm
25
26
27
28
2 O O
2 CO
2
2 N
Tabel A.6 Neraca Massa pada Mixing Point (M-102)
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 22 Alur 23 Alur 24
O
2
1.592,9880
N
13.008,5023 8661,1680 21.669,6703 CO
2
1.671,2871 7234,1854 8.905,4725 H
2.640,4716
Subtotal 18.913,2490 15895,3534 34.808,6025
Total 34.808,6025 34.808,6025
A.2.7 Steam Boiler (E-201)Fungsi: Memanaskan boiler feed water untuk menghasilkan superheated
steam
Neraca massa total
C, 1atm
PC
TC O
C, 148 atm 565
Neraca massa komponen Alur 25 = Alur 27 (24) (27)
F CO = F CO = 8.905,4725 kg/jam
2
2 (24) (27)
F N F N = 21.669,6703 kg/jam
=
2
2 (24) (27)
F O F O = 1.592,9880 kg/jam
2 =
2 (24) (27)
F H O = F H O = 2.640,4716 kg/jam
2
2 Alur 26 = Alur 28 (26) (28)
F H O = F H O = 24.016,2058 kg/jam
2
2 Neraca massa total
Tabel A.7 Neraca massa pada Steam Boiler (E-201)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 24 Alur 26 Alur 28 Alur 27
- O 1.592,9880 1.592,9880
2
- N 21.669,6703 21.669,6703
2
- CO 8.905,4725 8.905,4725
2 H O 2.640,4716 24.016,2058 24.016,2058 2.640,4716
2 Subtotal 34.808,6025 24.016,2058 24.016,2058 34.808,6025 Total 58.824,8083 58.824,8083
LAMPIRAN B
PERHITUNGAN NERACA PANAS
Basis perhitungan : 1 jam operasi Satuan Operasi : kJ/jam Temperatur referensi :
25 C (298 K) Kapasitas : 30.000 ton/tahun Perhitungan neraca panas menggunakan rumus sebagai berikut: Perhitungan beban panas pada masing-masing alur masuk dan keluar. T
Q = H = (Smith dan Van Ness, 2001)
n x Cp x dT T ref
Persamaan umum untuk menghitung kapasitas panas adalah sebagai berikut:
2
3 Cp a bT cT dT x , T
Jika Cp adalah fungsi dari temperatur maka persamaan menjadi : T T 2 2
2
3
( )
CpdT a bT CT dT dT T T T 1 2 1 b c d
2
2
3
3
4
4
( ) ( ) ( ) ( )
CpdT a T T T T T T T T
2
1
2
1
2
1
2
1 T 1
2
3
4 Untuk sistem yang melibatkan perubahan fasa persamaan yang digunakan adalah : T T T 2 b 2 CpdT Cp dT H Cp dT l Vl v T T T 1 1 b Perhitungan energi untuk sistem yang melibatkan reaksi : T T 2 2
dQ
( ) r H T N CpdT N CpdT r out in
dt T T 1
1
- dT
- eT
2 O 1,82964E+01 4,72118E-01 -1,33878E-03 1,31424E-06 0,00000E+00
- dT
- eT
4 3,8387E+01 -2,3664E-02 2,9098E-04 -2,6385E-07 8,0068E-11 C
2 H
6 3,3834E+01 -1,5518E-02 3,7689E-04 -4,1177E-07 1,3889E-10 C
3 H
8 4,7266E+01 -1,3147E-01 1,1700E-03 -1,6970E-06 8,1891E-10 C
4 H
10 6,6709E+01 -1,8552E-01 1,5284E-03 -2,1879E-06 1,0458E-09
Kapasitas Panas Padatan, Cp
(Perry, 2007) Tabel B.3 Kapasitas Panas Padatan (s)
s
= a + bT + cT-
2
(kal/mol K) Komponen a b c T range (K)
SiO
2
10,87 0,0087 -241.200 273
CH
2 1,9022E+01 7,9629E-02 -7,3707E-05 3,7457E-08 -8,1330E-12 H
2 2,9412E+01 -3,0068E-03 5,4506E-05 5,1319E-09 -4,2531E-12 CO
4 (J/mol K) Komponen a b c d e
B.1 Data-Data Kapasitas Panas, Panas Perubahan Fasa, dan Panas Reaksi Komponen
Tabel B.1 Data Kapasitas Panas Komponen Cair ( J/mol K)
Kapasitas Panas Cairan, Cp l
= a + bT + CT
2
3
H
2 2,9883E+01 -1,1384E-02 4,3378E-05 -3,7006E-08 1,0101E-11 N
(Perry, 2007) Tabel B.2 Data Kapasitas Panas Komponen Gas ( J/mol K)
Kapasitas Panas Gas, Cp g
= a + bT + CT
2
3
4 (J/mol K) Komponen a b c d e
O
2 O 3,4047E+00 -9,6506E-03 3,2998E-05 -2,0447E-08 4,3023E-12
- – 848 10,95 0,0055 - 848
- – 1.873 SiC 8,89 0,0029 -284.000 173
- – 1.629 C 2,637 0.0026 -116.900 273
- – 1.373 (Perry, 2007)
f,
25 C) anas Reaksi Pembentukan (∆H
Komponen ( kJ/kmol)
CH -78.451,6774
4 C H -84.684,0665
2
6 C H -103.846,7654
3
8 C H -126.147,4607
4
10 H O -241.834,9330
2 CO -393.504,7656
2 CO -110.541,1580
SiO -851.385,7800
2 SiC -117.230,4000
(Perry, 2007)
B.2 Perhitungan Neraca Panas B.2.1 Pelletizing Machine
Fungsi : Memperbesar ukuran bahan menjadi bentuk pellet, untuk memperbesar porositas bahan. Asumsi : Selama proses terjadi kenaikan suhu bahan menjadi 40 C.
10Na O.30SiO .60H 2 2 2 O
5 SiO 2 C SiO 2
4
6 FePO 4 C
10Na O.30SiO .60H 2 2 2 FePO 4 O
313 303
dQ out in N CpdT N CpdT s s
298 298
dTa. Menghitung Panas Masuk
303
6 SiO : Qi = N . Cp dT
2 SiO2 SiO2 SiO 2
298
= 85,2960 (kmol/jam). 1840,5824 (J/mol) = 156.994,2867 (kJ/jam)
303
6 C : Qi = N .
Cp dT C C C
298
= 256,6805 (kmol/jam). 529,4370 (J/mol) = 135.896,1639 (kJ/mol)
303
6 FePO : Qi = N . Cp dT
4 FePO4 FePO4 FePO 4
298
= 0,5678 (kmol/jam). 474,5705 (J/mol) = 269,4703 kJ/jam
303
6 Na O : Qi = N . Cp dT
2 Na2O Na2O Na O 2
298
= 1,5893 (kmol/jam). 346,4530 (J/mol) = 550,6137 kJ/jam
303
7 H O : Qi = N .
Cp dT
2 H2O H2O H O 2
298
= 9,5179 (kmol/jam). 374,6878 (kJ/mol) = 3.566,2332 kJ/jam
b. Menghitung Panas Keluar
313
8 SiO : Qo = N .
Cp dT
2 SiO2 SiO2 SiO 2
298
= 85,2960 (kmol/jam). 2.301,5507 (J/mol) = 196.313,0313 (kJ/jam)
313
8 C : Qo = N . Cp dT C C C
298
= 256,6805 (kmol/jam). 621,9829 (J/mol) = 159.650,8941 (kJ/mol)
313
8 FePO : Qo = N .
Cp dT
4 FePO4 FePO4 FePO 4
298
= 0,5678 (kmol/jam). 1.461,4185 (J/mol) = 830,4358 kJ/jam
313
8 Na O : Qo = N . Cp dT
2 Na2O Na2O Na O 2
298
= 1,5893 (kmol/jam). 1.050,3585 (J/mol) = 1.668,7526 kJ/jam
313
8 H O : Qo = N . Cp dT
2 H2O H2O H O 2
298
= 9,5179 (kmol/jam). 1.125,7408 (kJ/mol) = 10.714,6635 kJ/jam
Tabel B. 5 Neraca Energi pada Pelletizing Machine (L-102)
Komponen Masuk (kJ) Keluar (kJ)
SiO 156.994,2867 196.313,0313
2 C 135.896,1639 159.650,8941
Na O 269,4703 1.668,7526
2 FePO 550,6137 830,4358
4 H O 3.566,2332 10.714,6635
2 Jumlah 297.276,7679 369.177,7774
- ∆Hr
- Q 71.901,0095
Total 369.177,7774 369.177,7774
B.2.2 Bucket Elevator (C-110)
Fungsi : Mengangkut bahan baku dari pelletizing machine ke rotary kiln pre-heater . Asumsi : terjadi penurunan suhu bahan menjadi 35 C, selama pengangkutan. o H 2 H O 2
35 C, 1 atm SiO
2 SiO
o O 240 C, 1 atm C C
8
9 FePO 4 FePO 4
10Na O.30SiO .60H 2 2 2
10Na O.30SiO .60H 2 2 2 O O
a. Menghitung Panas Masuk
Panas masuk bucket elevator sama dengan panas keluar pelletizing machine pada alur 8, yaitu = 369.177,7774 kJ/jam.
Menghitung Panas Keluar b.
308
9 SiO : Qo = N .
2 SiO2 SiO2 Cp dT SiO 2
298
= 85,2960 (kmol/jam). 2.069,7463 (kJ/mol) = 176.541,0481 (kJ/jam)
308
9 C : Qo = N .
Cp dT C C SiO 2
298
= 256,6805 (kmol/jam). 575,1541 (J/mol) = 147.630,8532 (kJ/mol)
308
9 FePO : Qo = N . Cp dT
4 FePO4 FePO4 SiO 2
298
= 0,5678 (kmol/jam). 961,7110 (J/mol) = 546,0781 kJ/jam
308
9 Na O : Qo = N .
Cp dT
2 Na2O Na2O SiO 2
298
= 1,5893 (kmol/jam). 696,5830 (J/mol) = 1.107,0712 kJ/jam
9 H2O .
8 H
830,4358 546,0781 H
4
FePO
Na
H
2
196.313,0313 176.541,0481 C 159.650,8941 147.630,8532
Komponen Masuk (kJ/jam) Keluar (kJ/jam) H