Pembuatan Silikon Karbida (SiC) dari Pasir Silika (SiO2) dan Karbon (C) dengan Kapasitas 20.000/Tahun
= 54,7913 kmol/jam Massa impuritis
= 2.196,9228 kg/jam Mol SiC murni =
SiO
= 81,0298 kg/jam Na
40
2.196,9228
0962 ,
=
SiC Mr SiC F
= 2.525,2525 kg/jam Produk Akhir = Silikon Karbida (SiC) dengan kemurnian 87 % Kapasitas produksi = 2.525,2525 kg/jam Massa SiC Murni = 87 % x 2.525,2525 kg/jam
(4,93%) = 124,5406 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 = 20.000 .
Kapasitas produksi Silikon Karbida = 20.000 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%) = 65,6683 kg/jam
FePO
4
(2,26%) = 57,0910 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 = 2.196,9228 kg/jam Mol SiC murni = 54,7913 kmol/jam Mol SiO
2
= 56,8640 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)
= 56,8640 x 60,0864 = 3.416,7525 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 0910 , 57 3.225,6404 5 ,
4
FePO
6
56 5 ,
2 O = 3.225,6404 371 0914 , jam kg jam kg 5 ,
.60H
2
2 O.30SiO
10Na
56
10 60 . 30 .
. 055 2753 , 2 3.225,6404
5 ,
murni = 3.225,6404 kg/jam C = jam kg jam kg
2
= 3.225,6404 kg/jam Jumlah bahan baku : SiO
x
total = 3.416,7525 kg/jam x kg/jam + 0,0592x kg/jam = 3.416,7525 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.
30 .
(19)
SiO
2 = =
O H SiO O Na Mr SiO Mr O H SiO O Na F SiO F 2 2 2 2 2 2 2 ) 18 ( 2 ) 18 ( 30 .
30 .
10
30 30 . 30 .
10
3.416,7525 kg/jam F
(19)
Na
O H SiO O Na Mr O Na Mr O H SiO O Na F 2 2 2 2 2 2
2
) 18 ( 30 .10
=
10 30 . 30 .
10
= 57,0910 kg/jam
F
(19)
H
= O H SiO O Na Mr O H Mr
O H SiO O Na F 2 2 2 2 2 2
2
) 18 ( 30 .30 .
10
60 30 . 30 .
10
= 114,3110 kg/jam
2.055,2753 kg/jam F
C
(18) (19) (17) SiO 2 C FePO 4
(19)
10Na 2 O.30SiO 2 .60H 2 O
10Na 2 O.30SiO 2 .60H 2 O SiO 2 C FePO 4 Neraca massa komponen: Alur 17
F
(17)
10Na
2 O.30SiO
2
.60H
2 O = 371,0914 kg/jam Alur 18
F
(18)
SiO
2 =
3.225,6404 kg/jam F
(18)
FePO
4 = 57,0910 kg/jam
F
(18)
C
=
2.055,2753 kg/jam
Alur 19
F
(19)
FePO
4 =
57,0910 kg/jam F
2 O =
2 O
- 3.225,6404 3.416,7525 C - 2.055,2753 2.055,2753
- 57,0910 57,0910 Na
F
(19)
SiO
2 =
3.416,7525 kg/jam F
(19)
FePO
4 = 57,0910 kg/jam
(19)
Neraca massa komponen: Alur 19
C = 2.055,2753 kg/jam F
(19)
Na
2 O =
65,6683 kg/jam F
(19)
H
2 O =
F
10Na 2 O.30SiO 2 .60H 2 O H 2 O (19) (20) (19a)
Neraca massa total :
SiO
Tabel A.1 Neraca massa pada Tangki Mixer (M-101)
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 17 Alur 18 Alur 19
10Na
2 O.30SiO
2
.60H
2 O 371,0914 - -
2
10Na 2 O.30SiO 2 .60H 2 O SiO 2 C FePO 4
FePO
4
2 O - - 65,6683
H
2 O - - 114,3110
Subtotal 371,0914 5.338,0067 5.709,0981
Total 5.709,0981 5.709,0981 A.2.2 Pelletizing Machine (L-102) Fungsi : Mengubah dan membentuk slurry menjadi pellet.
SiO 2 C FePO 4
114,3110 kg/jam
Alur 19a
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
= 5.709,0981 + 0,139 X
X X = 6.498,0105 kg/jam (19a)
F H O (0,139 x 6.498,0105)
=
2
- – 114,3110 788,9125 kg/jam
= Alur 20 (20)
F SiO 3.416,7525 kg/jam
=
2 (20)
F FePO = 57,0910 kg/jam
4 (20)
F C = 2.055,2753 kg/jam
(20)
F Na O 65,6683 kg/jam
=
2 (20)
F H O 903,2235 kg/jam
2 = Neraca massa total :
Tabel A.2 Neraca massa pada Pelletizing Machine (L-102)
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 19 Alur 19a Alur 20
- SiO 3.416,7525 3.416,7525
2
- C 2.055,2753 2.055,2753
- FePO 57,0910 57,0910
4
- Na O 65,6683 65,6683
2 H O 114,3110 788,9125 903,2235
2 Subtotal 5.709,0981 788,9125 6.498,0105 Total 6.498,0105 6.498,0105
- Komposisi gas alam (alur 22) :
2
10
= 1,25 % (Speight, dkk., 2006)
X
(23)
O
2
= 21 %
X
(23)
N
= 79 %
C
4
2 →
CO
2
2 O
Konversi CH
4 ≈ 100%
σ CH
4
= -1
4 H
(22)
(22)
X
Udara E-139 Gas Alam 24 B-101 O 2 N 2 CO 2 H 2 O FC
Dimana :
X
(22)
CH
4
= 90 %
X
C
A.2.3 Burner (B-101)
2 H
6
= 7,5 %
X
(22)
C
3 H
8
= 1,25 %
Fungsi : Tempat pembakaran gas alam sebagai sumber panas Rotary Kiln Preheater (B-102).
- Komposisi Udara :
- Reaksi :
1. CH
- 2O
- 2H
- 2
- 3H
2 H
- 5O
- 4H
4 H
Konversi C
2
O2
4CO
13 O 2 →
10
2 O = 4
4. C
= 3 σ H
2
= -5 σ CO
2
= -1 σ O
8
2 H 6 ≈ 100%
10
σ C
Berdasarkan energi yang dibutuhkan untuk menaikkan suhu rotary
C, maka jumlah gas alam yang dibutuhkan adalah 400 kg/jam dengan kebutuhan udara (excess 20%) sebesar 11.706,5321 kg/jam.
o
C sampai 863
o
dari 30
kiln preheater
Karena pembakaran dengan menggunakan oksigen berlebih dari udara, maka reaksi pembakaran gas alam mempunyai konversi yang mendekati 100%.
= -1 σ O
= 4 σ H
2
σ CO
13
2
= -
2
3 H
≈ 100% σ C
6
6
2 H 6 ≈ 100%
Konversi C
2
O2
2CO
7 O 2 →
2 H
2 H
C
2 O = 2 2.
= 1 σ H
2
= -2 σ CO
2
σ O
σ C
6
= -1 σ O
2
Konversi C
2
O2
3CO
2 →
8
3 H
3. C
2 O = 3
= 2 σ H
2
σ CO
7
2
= -
- 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 22 (22)
F = 400 kg/jam
(22) 22 kg 400
N = F = jam = 22,2578 kg/jam kg
Mr gas alam 17 , 9712 kmol (22) (22)
N CH = 0,9 x N = 20,0320 kg/jam
4 (22) (22)
F CH = N CH x Mr CH = 321,3633 kg/jam
4
4
4 (22) (22)
N C H = 0,075 x N = 1,6693 kg/jam
2
6 (22) (22)
F C H = N C H x Mr C H = 50,1968 kg/jam
2
6
2
6
2
6 (22) (22)
N C H = 0,0125 x N = 0,2782 kg/jam
3
8 (22) (22)
F C H = N C H x Mr C H = 12,2685 kg/jam
3
8
3
8
3
8 (22) (22)
N C H = 0,0125 x N = 0,2782 kg/jam
4
10 (22) (22)
F C H = N C H x Mr C H = 16,1714 kg/jam
4
10
4
10
4
10 Alur 23 (23)
F = 11.305,6092 kg/jam
(23) 23 kg 11.305,690
2 N = F = jam = 391,8710 kg/jam kg 28 , 8503
Mr gas alam kmol (23) (23) (23)
N O = X O x N = 82,2929 kg/jam
2
2 (23) (23)
F O = N O x Mr O = 2.633,2744 kg/jam
2
2
2 (23) (23) (23)
N N = X N x N = 309,5781 kg/jam
2
2 (23) (23)
F N = N N x Mr N = 8.672,3349 kg/jam
2
2
2
- – (1 x 20,0320) =
- – (1 x 1,6693) =
- – (1 x 0,2782) =
- – (1 x 0,2782) =
2
(24)
O
2
x Mr O
2
= 1.061,9345 kg/jam F
(24)
N
= F
2
(23)
N
2
= 8.672,3349 kg/jam N
(24)
CO
2
= N
= N
O
O
4 H
6
)
3 H
8
)
2
13
x r C
10
(24)
) = 82,2988
2
7
x (1 x1,6693)
2
13
x(1 x 0,2782) = 33,1867 kmol/jam
F
(23)
2 – (2 x r
x r C
) + (3 x r C
CO
2
x Mr CO
2
= 1.114,1914 kg/jam N
(24)
H
4
2 H
= N
6
) + (4 x r C
3 H
8
) + (5 x r C
4 H
10
) = (2 x (1 x 20,0320) + (3 x 1 x 1,6693) + (4 x (1 x 0,2782)
(24)
2
CH
3 H
4
)
2
7
x r C
2 H
6
)
8
CO
)
2
13
x r C
4 H
10
) = (82,2988 x (1 x 20,0320) + (2 x (1 x 1,6693) + (3 x (1 x 0,2782)
F
(24)
2 H
7
(22)
C
2 H 6 – r C
2 H
6
= N
(22)
C
2 H 6 – (konversi x N (22)
2 H
(22)
6
) = 1,6693
N
(24)
C
3 H
8
= N
C
= N
C
(22)
CH
4
= N
(22)
CH
4 – r CH
4
= N
CH
6
4 – (konversi x N (22)
CH
4
) = 20,0320
N
(24)
C
2 H
Alur 24
3 H 8 – r C
N
(24)
C
4 H 10 – (konversi x N (22)
C
4 H
10
) = 0,2782
N
O
= N
2
= N
(23)
O
2 – (2 x r
CH
4
)
(22)
10
3 H
) = 0,2782
8
= N
(22)
C
3 H 8 – (konversi x N (22)
C
3 H
8
N
4 H
(24)
C
4 H
10
= N
(22)
C
4 H 10 – r C
(24)
- – (
- – (5 x r C
- – (
- – (2 x (1 x 20,0320) – (
- – (5 x (1 x 0,2782 – (
- – (
- – (5 x r C
- – (
- (4 x (1 x 0, 2782) = 25,3182 kmol/jam
2
2 O = (2 x r CH
- (5 x (1 x 0,2782) = 47,5760 kmol/jam
(24) (24)
F H O = N H O x Mr H O = 857,0910 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 22 Alur 23 Alur 24
CH 321,3633 - -
4
- C H 50,1968
2
6 C H
- 12,2685
3
6
- C H 16,1714
4
8
- O
2.633,2744 1.061,9920
2 N - 8.672,3349 8.672,3349
2
- CO
1.114,1914
2 H O -
857,0910 -
2 Subtotal 400,0000 11.305,6092 11.705,6092 Total 11.705,6092 11.705,6092
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 H O 2 SiO 2 21 C FePO 4 H O 2
10Na O.30SiO .60H O 2 2 2 25 SiO 2 C FePO 4 Na 2 O O 2 N 2 CO 2 H O 2 Dimana : Asumsi oksigen (O ) tidak bereaksi dengan pasir silika (SiO ) dan Karbon (C).
2
2 Neraca massa komponen Alur 21 :
Massa masuk alur 21 Rotary Kiln Preheater (B-102) = Massa keluar alur 20
Pelletizing Machine (L-101) (21)
F FePO
= 57,0911 kg/jam
4 (21)
F C
= 2055,2733 kg/jam (21)
F SiO = 3416,7525 kg/jam
2 (21)
F Na O
= 65,6683 kg/jam
2 (21)
F H O
= 903,2235 kg/jam
2
Alur 24 :
Massa masuk alur 24 Rotary Kiln Preheater (B-102) = Massa keluar alur 24 Burner (B-101)
(24)
F CO = 1.114,1914 kg/jam
2 (24)
F N = 8.672,3349 kg/jam
2 (24)
F O = 1.061,9940 kg/jam
2 (24)
F H O = 857,0910 kg/jam
2 Alur 25 : (25)
F FePO
= 57,0911 kg/jam
4 (25)
F C
= 2.055,2733 kg/jam (25)
F SiO = 3.416,7525 kg/jam
2 (25)
F Na O = 65,6683 kg/jam
2 Alur 26 : (26) (24)
F CO = F CO = 1.114,1914 kg/jam
2
2 (26) (24)
F N N 8.672,3349 kg/jam
= F =
2
2 (26) (24)
F O O 1.061,9920 kg/jam
2 = F 2 = (26) (21) (24)
F H O = F H O + F H O
2
2
2 = (903,2235 + 857,0910) kg/jam = 1760,3144 kg/jam
Neraca massa total
Tabel A.4 Neraca massa pada Rotary Kiln Preheater (B-102)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 21 Alur 24 Alur 25 Alur 26
- SiO 3.416,7525 3.416,7525 -
2 C - 2.055,2753 2.055,2753 -
- FePO 57,0910 57,0910 -
4
- Na O 65,6683 65,6683 -
2 O - - 1.061,9920 1.061,9920
2
8.672,3349 - 8.672,3349 - N
2
1.114,1914 - 1.114,1914 - CO
2 H
- O 903,2235 857,0910 1.760,3144
2 Subtotal 6.498,0105 11.706,6092 5594,7871 12.608,8327 Total 18.203,6198 18.203,6198
A.2.5 Electric Furnace (B-103)
Fungsi: Tempat reaksi reduksi dimana terjadinya pembentukan SiC pada suhu 1600 C.
N
2 CO
27
2 28 Udara 25
29 SiC SiO 2 SiO 2 C
C FePO 4 FePO 4 Na 2 O Na 2 O
Reaksi :
- SiO + 3 C
2 → SiC + 2 CO
Konversi SiO sebesar 96 %
2
= -1 σ SiO
2
= -3 σ C
= 1 σ SiC
= 2 σ CO
1
- CO + O
2 → CO
2
2 Konversi CO ≈ 100%
= -1 σ CO
1
= - σ O
2
2
= 1 σ CO
2
56,8640
N
0107 ,
12 2.055,2753
= 171,1204 kmol/jam F
(25)
Na
Alur 29
(29)
= C Ar C F ) 25 (
SiO
2 = N
(25)
SiO
2 – r SiO
2 =
= kmol kg jam kg
C
Alur 25
(25)
F(25) SiO2 = 3.416,7525 kg/jam N(25)SiO2
= 2 2 ) 25 ( SiO Mr SiO F
= kmol kg jam kg
0864 ,
60 3.416,7525
= 56,8640 kmol/jam F
FePO
(25)
4 =
57,0910 kg/jam F
(25)
C
=
2.055,2753 kg/jam N
2 O = 65,6683 kg/jam
- – (0,96 x 56,8640)
- – 3 x r SiO
- – 3 x (0,96 x 56,8640)
2,0727 kmol/jam F
2
SiC = N
(29)
SiC x Mr SiC = 54,7913 x 40,0962
= 2.196,9228 kg/jam Alur 27
N
(27)
O
2 =
2
1
x r CO + r S =
2
1
x (1x(2 x r SiO
))
54,7913 kmol/jam F
=
2
1
x (1x(2 x 0,96 x 56,8640))
= 54,7913 kmol/jam
F
(29)
O
2 = N
(27)
O
2
x Mr O
2 = 54,7913 x 31,9988
(29)
=
(29)
=
SiO
2 = N
(29)
SiO
2
x Mr SiO
2 = 2,0727 x 60,0864 =
124,5406 kg/jam N
(29)
C
=
N
(25)
C
171,1204
0,96 x 56,8640
=
2 =
SiC = r SiO
(29)
81,0298 kg/jam N
=
6,7465 x 12,0107
C x Ar C
= 6,7465 kmol/jam
(29)
N
=
C
(29)
F
2 =
5774,1120 kg/jam N
(28)
N
2 =
4
(28)
CO
2 =
r CO
=
1x(2 x r SiO
2
)
= 1x(2 x 0,96 x 56,8640) =
109,5826 kmol/jam F
CO
F
2 =
N
(28)
CO
2
x Mr CO
2 = 109,582 x 44,0962 =
4.822,7903 kg/jam
Neraca massa total:
Tabel A.5 Neraca massa pada Electric Furnace (B-103)
Komponen Masuk (kg/jam) Keluar (kg/jam) Alur 25 Alur 27 Alur 28 Alur 29
SiO
2
(27)
2 =
FePO
79
57,0910 - - 57,0910 Na
=
1.753,2558 kg/jam N
(27)
N
2 =
2 ) 29 (
%
21 %
79 O N
=
54,7913 %
21 %
= 206,1196 kmol/jam
N
F
(27)
N
2 =
N
(27)
N
2
x Mr N
2 = 206,1196 x 28,0134 =
5.774,1120 kg/jam
Alur 28
F
(28)
3.416,7525 - - 124,5406 C 2.055,2753 - - 81,0298
2 O 65,6683 - - 65,6683
O
- 1.753,2558 - - N
2
- 5.774,1120 5.774,1120 - CO
2
- 4.822,7903 - SiC - - - 2.196,9228
2
Subtotal 5.594,7870 7.527,3678 10.596.9023 2.525,2525
Total 13.122,1548 13.122,1548
A.2.6 Mixing Point (M-102) 40 M-102 43 O
2 O
2 N
2 N
2 CO
2 CO
2 H O
2 H O 41
2 O
2 N
2 Neraca massa komponen Alur 40
(40)
F CO 1.114,1914 kg/jam
=
2 (40)
F N 8.672,3349 kg/jam
2 = (40)
F O = 1.061,9920 kg/jam
2 (40)
F H O 1.760,3144 kg/jam
=
2 Alur 41 (41)
F N 5.774,1120 kg/jam
=
2 (41)
F CO 4.822,7903 kg/jam
=
2 Alur 43 (43) (40) (41)
F CO F CO + F CO
=
2
2
2
5.936,9817 kg/jam
= (43) (40) (41)
F N = F N + F N
2
2
2
14.447,7903 kg/jam
= (43)
F O 1.061,9920 kg/jam
=
2 (43)
F H O = 1.760,3144 kg/jam
2
Neraca massa total
Tabel A. 6 Neraca Massa pada Mixing Point (M-102)
Masuk (kg/jam) Keluar (kg/jam) Komponen Alur 40 Alur 41 Alur 43
O 1.061,9920 - 1.061,9920
2 N 8.672,3349 5.774,1120 14.447,3349
2 CO 1.114,1914 4.822,7903 5.936,9817
2
- H O 1.760,3144 1.760,3144
2 Subtotal 12.608,8327 10.596,9023 23.205,7350
Total 23.205,7350 23.205,7350
A.2.7 Steam Boiler (E-201)Fungsi: Memanaskan boiler feed water untuk menghasilkan superheated .
steam
47 44 H 2 O 46 O 2 O 2 N 2 N 2 CO 2 CO 2 H 2 O 45 - H O 2 H 2 O Neraca massa komponen Alur 43 = Alur 46
(43) (46)
F CO F CO = 5.936,9817 kg/jam
2 =
2 (43) (46)
F N = F N = 14.447,4469 kg/jam
2
2 (43) (46)
F O F O = 1.061,9920 kg/jam
=
2
2
(43) (46)
F H O F H O = 1.760,3144 kg/jam
=
2
2 Alur 45 = Alur 47 (45) (47)
F H O = F H O = 16.010,6797 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 43 Alur 45 Alur 47 Alur 46
O
- 1.061,9920 1.061,9920
2
- N 14.447,4469 14.447,4469
2 CO 5.936,9817 - - 5.936,9817
2 H O 1.760,3144 7.300 7.300 1.760,3144
2 Subtotal 23.205,7350 7.300 7.300 23.205,7350 Total 30.505,7350 30.505,7350
LAMPIRAN B
PERHITUNGAN NERACA PANAS
Basis perhitungan : 1 jam operasi Satuan Operasi : kJ/jam Temperatur referensi :
25 C (298 K) Kapasitas : 20.000 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
B.1 Data-Data Kapasitas Panas, Panas Perubahan Fasa, dan Panas Reaksi
KomponenTabel B.1 Data Kapasitas Panas Komponen Cair ( J/mol K)
2
3
4 Kapasitas Panas Cairan, Cp = a + bT + CT + dT + eT (J/mol K) l Komponen a b c d e H O 1,82964E+01 4,72118E-01 -1,33878E-03 1,31424E-06 2
0,00000E+00 (Perry, 2007) Tabel B.2 Data Kapasitas Panas Komponen Gas ( J/mol K)
2
3
4 Kapasitas Panas Gas, Cp = a + bT + CT + dT + eT (J/mol K) g
Komponen a b c d e
O 2,9883E+01 -1,1384E-02 4,3378E-05 -3,7006E-08 1,0101E-11
2 N 2,9412E+01 -3,0068E-03 5,4506E-05 5,1319E-09 -4,2531E-12
2 CO 1,9022E+01 7,9629E-02 -7,3707E-05 3,7457E-08 -8,1330E-12
2 H O 3,4047E+00 -9,6506E-03 3,2998E-05 -2,0447E-08 4,3023E-12
2 CH 3,8387E+01 -2,3664E-02 2,9098E-04 -2,6385E-07 8,0068E-11
4 C H 3,3834E+01 -1,5518E-02 3,7689E-04 -4,1177E-07 1,3889E-10
2
6 C H 4,7266E+01 -1,3147E-01 1,1700E-03 -1,6970E-06 8,1891E-10
3
8 C H 6,6709E+01 -1,8552E-01 1,5284E-03 -2,1879E-06 1,0458E-09
4
10
(Perry, 2007) Tabel B.3 Kapasitas Panas Padatan (s)
2 Kapasitas Panas Padatan, Cp = a + bT + cT- (kal/mol K)
s
Komponen a b c T range (K) 10,87 0,0087 -241.200 273- – 848 SiO
2 10,95 0,0055 848
- SiC 8,89 0,0029 -284.000 173
- – 1.873
- – 1.629 C 2,637 0.0026 -116.900 273
- – 1.373
(Perry, 2007)
Tabel B.4 Data Panas Reaksi Pembentukan Panas Re
f,
25 C) aksi 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 (L-102)
Fungsi : Memperbesar ukuran bahan menjadi bentuk pellet, untuk memperbesar porositas bahan. Asumsi : Selama proses terjadi kenaikan suhu bahan menjadi 40 C.
H 2 SiO 2 O SiO 2 19 20 C C FePO 4 FePO 4
10Na 2 O.30SiO 2 .60H 2
10Na 2 O.30SiO 2 .60H 2 o O O o
40 C, 1 atm
30 C, 1 atm
313 303 dQ out in
N CpdT N CpdT s s
298 298 dT
a. Menghitung Panas Masuk
303
19 SiO : Qi = N . Cp dT
2 SiO2 SiO2 SiO 2
298
= 56,8640 (kmol/jam). 1840,5824 (J/mol) = 104.662,8578 (kJ/jam)
303
19 C : Qi = N .
Cp dT C C C
298
= 171,1204 (kmol/jam). 529,4370 (J/mol) = 90.597,4426 (kJ/mol)
303
19 FePO : Qi = N . Cp dT
4 FePO4 FePO4 FePO 4
298
= 0,3785 (kmol/jam). 474,5705 (J/mol) = 179,6469 kJ/jam
303
19 Na O : Qi = N . Cp dT
2 Na2O Na2O Na O 2
298
= 1,0595 (kmol/jam). 346,4530 (J/mol) = 367,0758 kJ/jam
303 H O : Qi = N .
Cp dT
2 H2O H2O H O
2
298
= 6,3453 (kmol/jam). 374,6878 (kJ/mol) = 2.377,4888 kJ/jam
b. Menghitung Panas Keluar
313
20 SiO : Qo = N .
Cp dT
2 SiO2 SiO2 SiO 2
298
= 56,8640 (kmol/jam). 2.301,5507 (J/mol) = 130.875,3542 (kJ/jam)
313
20 C : Qo = N . Cp dT C C C
298
= 171,1204 (kmol/jam). 621,9829 (J/mol) = 106.433,9294 (kJ/mol)
313
20 FePO : Qo = N .
Cp dT
4 FePO4 FePO4 FePO 4
298
= 0,3785 (kmol/jam). 1.461,4185 (J/mol) = 553,6239 kJ/jam
313
20 Na O : Qo = N . Cp dT
2 Na2O Na2O Na O 2
298
= 1,0595 (kmol/jam). 1.050,3585 (J/mol) = 1.112,5017 kJ/jam
313
20 H O : Qo = N . Cp dT
2 H2O H2O H O 2
298
= 6,3453 (kmol/jam). 1.125,7408 (kJ/mol) = 7.143,1090 kJ/jam
Tabel B.5 Neraca Energi pada Pelletizing Machine (L-102)
Komponen Masuk (kJ) Keluar (kJ)
SiO 104.662,8578 130.875,3542
2 C 90.597,4426 106.433,9294
Na O 367,0758 1.112,5017
2 FePO 179,6469 553,6239
4 H O 2.377,4888 7.143,1090
2 Jumlah 198.184,5119 246.118,5182
- ∆Hr
- Q 47.934,0063
Total 246.118,5182 246.118,5182
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 2 O
35 C, 1 atm SiO 2 SiO 2 o O
40 C, 1 atm 20 21 C C FePO 4 FePO 4
10Na 2 O.30SiO 2 .60H 2
10Na 2 O.30SiO 2 .60H 2 O O
a. Menghitung Panas Masuk
Panas masuk bucket elevator sama dengan panas keluar pelletizing machine pada alur 20, yaitu = 246.118,5182 kJ/jam.
b. Menghitung Panas Keluar 308
21 SiO : Qo = N .
Cp dT
2 SiO2 SiO2 SiO 2
298
= 56,8640 (kmol/jam). 2.069,7463 (kJ/mol) = 117.694,0320 (kJ/jam)
308
21 C : Qo = N . Cp dT C C SiO 2
298
= 171,1204 (kmol/jam). 575,1541 (J/mol) = 98.420,5688 (kJ/mol)
308
21 FePO : Qo = N .
Cp dT
4 FePO4 FePO4 SiO 2
298
= 0,3785 (kmol/jam). 961,7110 (J/mol) = 364,0521 kJ/jam
308
21 Na O : Qo = N .
Cp dT
2 Na2O Na2O SiO 2
298
= 1,0595 (kmol/jam). 696,5830 (J/mol) = 738,0474 kJ/jam
21 H2O .
20 H
179,6469 364,0521 H
4
FePO
Na
H
2
104.662,8578 117.694,0320 C 90.597,4426 98.420,5688
Komponen Masuk (kJ/jam) Keluar (kJ/jam) H
Tabel B.6 Neraca Energi pada Bucket Elevator (C-110)
= 6,3453 (kmol/jam). 749,9460 (J/mol) = 4.758,5962 kJ/jam
308 298 2 Cp dT SiO
= N
2 O : Qo H2O
21 SiO
2 O 367,0758 738,0474
2 O 2.377,4888 4.758,5962
Total 246.118,5182 246.118,5182
Jumlah 198.184,5119 221.975,2965 ∆Hr
- Q - 24.143,2217
a. Menghitung Panas Reaksi Pemb akaran Gas Alam (∆Hr)
- 2O
- 2H
- 2
- 3H
7 O
- 5O
- 4H
2(g)
→
4CO
2(g)
2 O (g)
………(4)
∆Hr (1)
(30
o
C) = ∆H r
o (1)
303 298 2 4 2 2
2
2 Cpg dT Cpg Cpl Cpg O CH O H CO r
(1)
= 20,0320 kmol/jam ∆H
r o (1)
= ∆H
r o (CO2)
r