Tekanan absorber Tekanan absorber CO2 CO2 C COO BBeennffiieelldd H2 H2 H H22O O GG C CHH4 4 yy1 1 00..1100%% O2 O2 komposisi larutan komposisi larutan K2CO3 K2CO3 DEA DEA V2O5 V2O5 Air Air rich solution rich solution Benfield + CO2 Benfield + CO2 C COO2 2 G G 99440011..66552 2 kkmmooll//hhr r LL C CO O yyo o 1111..88664400332 2 % % xxoo H2 H2 H2O H2O CH4 CH4 O2 O2 B BM M bbeennffiieelld d 5566..00661166 kkoommppoossiissi i ggaas s iin n yy1 1 1 1 %%
kkmmooll//hhr r kkaaddaarr((%%) ) BBM M CCOO2 2 yyaanng g tteerrsseerraap p 112211..11779900442233 C
CHH4 4 11..11887 7 00..00112266225544441 1 116 6 bbeennffiieelld d yyaanng g ddiibbuuttuuhhkkaan n 11559999..113377447777 H H2 2 22883333..77333 3 3300..114400779988666 6 2 2 8899665500..2200556611 H H220 0 33221166..55772 2 3344..221122883388334 4 1188 C COO2 2 11111155..44115 5 1111..886644003311998 8 444 4 G G 4499..0033663344334499 C CO O 11333344..77445 5 1144..119966991199886 6 228 8 L L 2244..9900228833448899 O O2 2 99000 0 99..55772277885577119 9 32 32 rrhho o G G 1188..8800885588660033 T Toottaal l 99440011..66552 2 11000 0 rrhho o L L 11225599..0011882211 A
Avveerraagge e mmool l wwt t 1199..002211775500001 1 kkgg//kkmmooll d
deennssiittaas s ggaas s 1188..880088558866003 3 kkgg//mm33
(L
(L/G)/G)*(r*(rhohoG/rG/rhohoL)L)^0.^0.5 5 0.0.062062071071577577 p
prreessssuurre e ddrroop p 11..55002288773355991 1 iinncchh//fft t 336600..66889966662 2 ccmm//m m ppaacckkiinngg G'^2*F*
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g)ψ*miu^0.2/(rhoG*rhoL*g) 0.1 0.1 u/ delta P u/ delta P 1.51.5
sangat berpengaruh pada D absoeber sangat berpengaruh pada D absoeber P
Paacckkiinngg==rraasscchhiig g rriinngg, , 3 3 iinncch h ((cceerraammiicc) ) aap p 669 9 mm22//mm33 F
F== 3377
ψ=ratio of the density of water to the density of liquid
ψ=ratio of the density of water to the density of liquid 0.7942696870.794269687 m
g g== 3322..22 rrhhooGGrrhhooLLg g 22997711..883377778833 F F bblla a bblla a 4411..4477669999881199 G G''^^2 2 77..116655002266119911 G G' ' 22..66776677556666555 5 llbb//fftt22sseecc A A 4400..338866775577885 5 fftt2 2 G G aaccttuuaal l 22..667766775566665555 D D 77..11772277333300333 3 fft t 2..12 18866227755661 1 m m D D aattaass G G aaccttuuaal l 1133..0066888888669933 d
deelltta a P P ffllooooddiinngg= = 00..1122FF^^00..7 7 G G aaccttuuaal l 00..668877004499666633 de
deltlta a P P flfloooodidingng= = 1.1.50502828737359591 1 ininchch/f/ft t papackckiningg
L L 00..111188338866994488 a a 44..5544999999777777 b b 33..4455223311227799 c c 33..6655228866555577 h h 5577..33779922669 9 mm
MENENTUKAN DIAMETER BAGIAN BAWAH
MENENTUKAN DIAMETER BAGIAN BAWAH KOLOM ABSORBERKOLOM ABSORBER
L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per satuan w L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per satuan w G = massa gas yang masuk kolom per satuan waktu
G = massa gas yang masuk kolom per satuan waktu
LL= = 11772200..331166552 2 kkmmooll//hhr r rrhho o G G 11..117744221122445544 9 966444433..6699666 6 kkgg//hhr r rrhho o L L 7788..66 2 266..7788999911557 7 kkgg//s s 5599..0066110044882 2 llbb//ss G G 99440011..66552 2 kkmmooll//hhrr 176831.78 kg/hr 176831.78 kg/hr 49.119939 kg/s 49.119939 kg/s 108.28981 108.289818 8 lb/slb/s (L
(L/G)/G)*(r*(rhohoG/rG/rhohoL)L)^0.^0.5 5 0.0.066066661661579579 p
prreessssuurre e ddrroop p 00..6 6 iinncchh//fftt G'^2*F*
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g)ψ*miu^0.2/(rhoG*rhoL*g) 0.090.09 Packing=raschig ring, 3 inch
Packing=raschig ring, 3 inch F
F== 3377
ψ=ratio of the density of water to the density of liquid
ψ=ratio of the density of water to the density of liquid 0.7942696870.794269687 m
miiuulliiqquuiidd== 55..66 ccpp
g
g== 3322..22
rho
rhoGrhGrhoLg oLg 29712971.83.83778778 F
F blbla a bbla la 4141..47476969989822 G
G''^^2 2 66..444488552233557 7 llbb//fftt22sseecc G
G' ' 22..553399339944333 3 llbb//fftt22sseec c G G aaccttuuaal l 11..77777755776600332 2 llbb//fftt22sseecc
h h o o a a yh yh HxHx Hx Hx yo yo L L HG HG Ky Ky G G H H llnn )) 1 1 (( 1 1 '' '' ''g g== 3322..22 rrhhooGGrrhhooLLg g 22997711..883377778833 F F bblla a bblla a 4411..4477669999881199 G G''^^2 2 77..116655002266119911 G G' ' 22..66776677556666555 5 llbb//fftt22sseecc A A 4400..338866775577885 5 fftt2 2 G G aaccttuuaal l 22..667766775566665555 D D 77..11772277333300333 3 fft t 2..12 18866227755661 1 m m D D aattaass G G aaccttuuaal l 1133..0066888888669933 d
deelltta a P P ffllooooddiinngg= = 00..1122FF^^00..7 7 G G aaccttuuaal l 00..668877004499666633 de
deltlta a P P flfloooodidingng= = 1.1.50502828737359591 1 ininchch/f/ft t papackckiningg
L L 00..111188338866994488 a a 44..5544999999777777 b b 33..4455223311227799 c c 33..6655228866555577 h h 5577..33779922669 9 mm
MENENTUKAN DIAMETER BAGIAN BAWAH
MENENTUKAN DIAMETER BAGIAN BAWAH KOLOM ABSORBERKOLOM ABSORBER
L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per satuan w L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per satuan w G = massa gas yang masuk kolom per satuan waktu
G = massa gas yang masuk kolom per satuan waktu
LL= = 11772200..331166552 2 kkmmooll//hhr r rrhho o G G 11..117744221122445544 9 966444433..6699666 6 kkgg//hhr r rrhho o L L 7788..66 2 266..7788999911557 7 kkgg//s s 5599..0066110044882 2 llbb//ss G G 99440011..66552 2 kkmmooll//hhrr 176831.78 kg/hr 176831.78 kg/hr 49.119939 kg/s 49.119939 kg/s 108.28981 108.289818 8 lb/slb/s (L
(L/G)/G)*(r*(rhohoG/rG/rhohoL)L)^0.^0.5 5 0.0.066066661661579579 p
prreessssuurre e ddrroop p 00..6 6 iinncchh//fftt G'^2*F*
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g)ψ*miu^0.2/(rhoG*rhoL*g) 0.090.09 Packing=raschig ring, 3 inch
Packing=raschig ring, 3 inch F
F== 3377
ψ=ratio of the density of water to the density of liquid
ψ=ratio of the density of water to the density of liquid 0.7942696870.794269687 m
miiuulliiqquuiidd== 55..66 ccpp
g
g== 3322..22
rho
rhoGrhGrhoLg oLg 29712971.83.83778778 F
F blbla a bbla la 4141..47476969989822 G
G''^^2 2 66..444488552233557 7 llbb//fftt22sseecc G
G' ' 22..553399339944333 3 llbb//fftt22sseec c G G aaccttuuaal l 11..77777755776600332 2 llbb//fftt22sseecc
h h o o a a yh yh HxHx Hx Hx yo yo L L HG HG Ky Ky G G H H llnn )) 1 1 (( 1 1 '' '' ''A
A 6600..9911999933557 7 fftt22 D
0.1183869 0.11838695 5 kmol/m2.kmol/m2.ss LL''==LLK K 66..6633669966117 7 kkgg//mm22s s DDL L 55..6666000011EE--005 5 mm22//ss σc σc 661 1 mmNN//m m kkl l 0..00 0000011441133225 5 mm//ss σL σL 83.8 mN/m83.8 mN/m a ap p 669 9 mm22//mm3 3 kky y 00..00990088779977885 5 kkmmooll//mm22..ss m miiu u L L 55..6 6 ccpp rrhho o L L 11225599..001188221 1 kkgg//mm3 3 CCtt==rrhhoo//MMRR g g 99..8 8 mm//ss2 2 CCt t 2222..4455777766445 5 kkggmmooll//mm33 a aww//aap p 00..110000111166999 9 kkx x 00..00003311773388335 5 kkmmooll//mm22..ss a aw w 66..9900880077223 3 mm22//mm33 0
0..668877004499666 6 kkmmooll//mm22..s s HH* * = = 00..44553 3 aattmmmm33//kkmmooll G
G''==GGK K 1133..0066888888669 9 kkgg//mm22s s H H = = HH**CCtt//P P 00..337766779911338822 m
miiu u G G 11..55005533EE--005 5 PPaa..s s y y = = 00..33776677991133882 2 XX rrhho o G G 1188..88008855886 6 kkgg//mm3 3 Y Y = = 00..442244 D
DG G 33..44555533EE--006 6 mm22//s s KKyya a 00..00221166440033222 2 kkmmooll//mm33..ss d
dp p 00..00336 6 mm R
R 00..008822005 5 LLaattmm//mmoollKK T
T 333333 KK
kkg g 00..000033336655992 2 kkmmooll//mm22..ss..aattm m 55..66ccp p 00..005566 0.056 0.056 T
Tiinnggggi i AAbbssoorrbbeer r 00..00005566
integrasi dengan simpson rule integrasi dengan simpson rule Y Yo o = = 00..111188664400332 2 XX1 1 = = 00..00001155 Y Y1 1 = = 0..0001 1 XXo o = = 00..6699226633111188 m m = = 00..442244 d dY Y = = 00..0055443322001166 Y Y X X YY* * 11//ff((xx) ) ffaaccttoor r ddAA 0 0..1111886644003 3 00..0000115 5 00..00000066336 6 88..447744226666004 4 1 1 88..447744226666004411 0 0..0066443322002 2 --00..3311337744229 9 --00..11333300227 7 55..006677221122552 2 4 4 2200..2266888855000099 0 0..001 1 --00..6622889988558 8 --00..226666669 9 33..661144115533002 2 2 2 7..2722288330066004477 --00..004444332 2 --00..9944442222888 8 --00..44000033553 3 22..880088772299667 7 4 4 1111..2233449911886677 --00..009988664 4 --11..2255994477117 7 --00..55334400116 6 22..229966886666993 3 2 2 44..559933773333885522
G G X X Y Y Yo Yo XoXo L L
G G dX dX Z Z K Kyya a Y Y HHX X
--00..115522996 6 --11..5577447711446 6 --00..66667766779 9 11..994422880099444 4 4 4 77..7777112233777766 --00..22007722881 1 --11..8888999955775 5 --00..88001133442 2 11..6688333322778 8 2 2 33..336666665555559911 --00..22661166001 1 --22..2200552200005 5 --00..99335500005 5 11..448844999922222 2 4 4 55..993399996688888899 --00..33115599221 1 --22..5522004444334 4 --11..00668866668 8 11..332288446677553 3 2 2 22..665566993355005566 --00..33770022441 1 --22..8833556688663 3 --11..22002233331 1 11..220011779933225 5 1 1 11..220011779933224488 N NooG G 00..0022117766005533 H HooG G 55..4477006666447799 Z Z 00..111199004444559 9 mm
= 27 atm
MENENTUKAN DIAMETER BAGIAN ATAS KOLOM ABSORBER L
x1 0.10% L = massa cairan yang masuk kolom per satuan waktu
G = massa gas yang masuk kolom per satuan waktu - massa gas FCH4out = 1.187 kmol/hr FH2out = 2833.733 kmol/hr
benfield FH2Oout = 3216.572 kmol/hr
BM BM average FCO2out = 1115.415 kmol/hr
30% 138 56.0616 g/mol FCOout = -1334.745 kmol/hr
4% 45 O2 = 16.000 kg/s
0.60% 181.6 FO2out = 900.000 kmol/hr
65.400% 18 Tgas out = 1200.457 C
design reaktor
Diameter Reaktor = 3.500 m packing raschig ring 3 inc Pressure Drop = 0.501 bar
ap 69 m2/m3
rho 561 kg/m3
50.8
G=Gas yg masuk-gas yg terserap 9280.472958 kmol/hr 49.03634349 kg/s g/mol kmol/hr 1727068.476 kmol/hr L=1.4Lmin kg/hr 1kg= 2.2046 lb 1m= 3.2808 ft kg/s 108.105523 lb/s kg/s 54.9007898 lb/s kg/m3 1.17421245 lb/ft3 ket: kg/m3 78.6 lb/ft3 cek lagi BM 19.02175 kg/kmol P 27 atm R 0.082 atmm3/kmolK T 333 K densitas gas 18.808586 kg/m3 1ft=
h h x y y y G L 0 0 minxh= 0.10% G= 9401.652 kmol/hr yo= 0.1186 yh= 0.001 lb/ft2sec H= 0.1224 Kya= 0.151 kmol/m3dtk kg/m2s Lmin 1142.24106 kmol/hr kmol/m2s kmol/m2s xo 0.69263118
Ca* 0.01660986 kmol CO2/m3 solution
P 0.0053 atm
H* 0.31908764
H=H*
ktu
Menghitung Diffusivitas Liquid
φ 1
MB=berat molekul solven 56.0616
R 0.08205 Latm/molK Tb 194.5 K P 27 atm miu 0.0056 kg/(ms) H
h o
h oy
y
L
G
x
x
4 2 1 8 10 . . . ) .( 10 . 4 , 7
A B B B AB V μ T .M φ D P Tb R V A
.VA 0.034 m3/kgmol
DAB 5.66E-05 m2/s
Menghitung Diffusivitas Gas
Diffusivitas Biner dapat dihitung dengan persamaan Chapman-Enskog
dengan :
T
:
suhu,
K
P
: tekanan, atm
M
ij: berat molekul gabungan
s
ij: diameter tumbukan gabungan
ε
ij: karakteristik Lennard-Jones gabungan, K
(Perry)
Hasil perhitungan koefisien difusivitas antara CO2melalui masing-masing komponen p
Tabel 3. Koefisien difusivitas gas CO
2melalui campuran gas umpan
Komponen sij Mij WD CO2– H2 3.0955 84.9706 0.5227 0.8845 CO2- CH4 3.8495 170.3136 0.0851 1.1153 CO2 – CO 3.793 144.568 0.0584 1.013 CO2- H2O 3.291 397.412 0.0782 1.6467 DCO2-gas 3.4553E-06 m2/s
Menghitung Koefisien Trnasfer Massa
4 2 5 , 0 5 , 1 10 . . . 001858 , 0
W
D ij ij ij P M T D s
j i ij BM BM M 1 1 ) ( 2 1 j i ij σ σ σ
1 , 0 575 1 909 4 . 911 , 1 . 54 44
W
ij , , ij D ε kT ε kT , 5 , 0 .
k ε k ε k εij i j k ε ij
0,2 2 05 , 0 2 2 1 , 0 75 , 0 45 , 1 exp 1 p L L L p L p L c p w a ρ LK g ρ a LK μ a LK σ σ a a sdengan :
Indeks L menunjukkan cairan
Indeks G menunjukkan gas
a
w:
interfacial areaefektif, m
2/m
3s
C: tegangan muka kritis untuk bahan
packing, untuk metal s
cs
L: tegangan muka cairan pada suhu 70°C
D
: koefisien difusivitas, m
2/s
k
g: koefisien transfer massa pada film gas, kmol/m
2.s.atm
k
y: koefisien transfer massa pada film gas, kmol/m
2
.s
k
l: koefisien transfer massa pada film cairan, m/s
k
x: koefisien transfer massa pada film cairan, kmol/m
2.s
K
ya
: koefisien transfer massa overall volumetric, kmol/m
3
.s
p
P
o: tekanan uap, kg/cm
2g/cm.s miu gas = 15.0531 mP.s 1.50531E-05
kg/m.s ap 38 in2/in3 128
tekanan upa dapat dihitung dengan persamaan Antoine RT D a d a D ρ μ μ a GK k p p p G G G G G p g 2 3 1 7 , 0 ) ( . . 23 , 5
3 1 4 0 2 1 3 2 . ) ( . 0051 , 0
g μ ρ d a D ρ μ μ a LK k L L , p p L L L L w l P k k y
g x lk
k Ct
1 1 1 x w x y K a a k mk
16
,
0
39
,
3103
5898
,
22
exp
2T
P
COog terserap per satuan waktu
0.36664089
30.48 cm
333 K 27 atm
enyusun gas umpan, dapat dilihat pada tabel berikut :
Dij 3.5671E-06 7.3810E-07 6.9339E-07 6.5566E-07 4 2 5 , 0 5 , 1
10
.
.
.
001858
,
0
W
D ij ij ij P M T D s= 61 mN/m
83.800 mN/m for water chemicalogic
Pa.s
(Coulson and Richardson, 1983)
function secref %clc,clear
global FH2OO FCH40 FCOO FCO2O FH2o Di Dp VOID RHOB TR Do DReaktor Dekv RI FO20
DReaktor=3.5;%m nilai Re sekitar 4700an dan dP cukup baik Di=DReaktor;
L=15;%panjang reformer m
RHOB=1070;%densitas bulk kg/m3 taken from topsoe Dp=0.0118;%diameter partikel m taken from topsoe
VOID=0.38+0.073*(1+(Di/Dp-2)^2/(Di/Dp)^2);%void fraction froment bischoff
FH2OO=0.3860;%kgmol/s FCH40=0.3860;%kgmol/s 1389.6 FCOO=0.0224;%kgmol/s FCO2O=0.453;%kgmol/s FH2o=0.0233;%kgmol/s FO20=0.5;%kgmol/s FO=FH2OO+FCH40+FCOO+FCO2O+FH2o+FO20;%kgmol/s %harga awal
To=600+273.15;%suhu umpan masuk K TR=298.15;%suhu referensi K
Po=30;%tekanan atm y1o=0;
y2o=0; y3o=0;
y0=[y1o y2o To Po y3o 0]; Lspan=[0:L/100:L]; [z,y]=ode15s(@persamaan,Lspan,y0); y(end,end) y1=y(:,1); y2=y(:,2); y3=y(:,5); FH2O=FH2OO*(1-y2-2*y3)+2*FCH40*y1;%kgmol/s FCH4=FCH40-FH2OO*((y2+y3));%kgmol/s FCO=FCOO+FH2OO*y3;%kgmol/s FCO2=FCO2O+FH2OO*y3+FCH40*y1;%kgmol/s FH2=FH2o+FH2OO*(3*y2+4*y3);%kgmol/s FO2=FO20-FCH40*y1;%kgmol/s Fsisa=FCH4(end)*3600; Tgout=y(end,3)-273; fprintf('FCH4out = %6.3f kmol/hr\n',Fsisa) fprintf('FH2out = %6.3f kmol/hr\n',FH2(end)*3600) fprintf('FH2Oout = %6.3f kmol/hr\n',FH2O(end)*3600)
fprintf('FCO2out = %6.3f kmol/hr\n',FCO2(end)*3600) fprintf('FCOout = %6.3f kmol/hr\n',FCO(end)*3600) fprintf('O2 = %6.3f kg/s\n',FO20*32)
fprintf('FO2out = %6.3f kmol/hr\n',FO2(end)*3600) fprintf('Tgas out = %6.3f C\n',Tgout)
disp('design reaktor')
fprintf('Diameter Reaktor = %6.3f m\n',Di)
fprintf('Pressure Drop = %6.3f bar\n',Po-y(end,4))
%plotting hasil figure(1) hold on
plot(z,FH2O*3600,'k-',z,FCH4*3600,'b-',z,FCO*3600,'r-',z,FCO2*3600,'c-',z,FH2*3600,'g',z,FO2*3600,'m' xlabel('panjang, z')
ylabel('flow komponen, kgmol/hr')
legend('flow H2O','flow CH4','flow FCO','Flow CO2','Flow H2','FLow O2')
figure(2) hold on plot(z,y(:,3)) xlabel('panjang, z') ylabel('suhu,K') figure(3) hold on plot(z,y(:,4)) xlabel('panjang, z') ylabel('pressure,atm') function dydz=persamaan(z,y)
global FH2OO FCH40 FCOO FCO2O FH2o Di Dp VOID RHOB TR Do DReaktor Dekv RI FO20
%reaksi total combution
%CH4+2O2-->CO2+2H2O dH=-802700 kJ/kmol y1=y(1); y2=y(2); y3=y(5); T=y(3); P=y(4); FH2O=FH2OO*(1-y2-2*y3)+2*FCH40*y1;%kgmol/s FCH4=FCH40-FH2OO*((y2+y3));%kgmol/s FCO=FCOO+FH2OO*y2;%kgmol/s FCO2=FCO2O+FH2OO*y3+FCH40*y1;%kgmol/s FH2=FH2o+FH2OO*(3*y2+4*y3);%kgmol/s FO2=FO20-2*FCH40*y1;%kgmol/s FTOT=FH2O+FCH4+FCO+FCO2+FH2+FO2;%kgmol/s
%fraksi yH2O=FH2O/FTOT; yCH4=FCH4/FTOT; yCO=FCO/FTOT; yCO2=FCO2/FTOT; yH2=FH2/FTOT; yO2=FO2/FTOT; y=[yH2O,yCH4,yCO,yCO2,yH2,yO2]; %pressure parsial PH2O=yH2O*P;%bar PCH4=yCH4*P;%bar PCO=yCO*P;%bar PCO2=yCO2*P;%bar PH2=yH2*P;%bar PO2=yO2*P;%bar %property viscosity
miuCH4=[3.844 4.0112e-1 -1.4303e-4]; miuCO=[2.3811e1 5.3944e-1 -1.5411e-4]; miuCO2=[1.1811e1 4.9838e-1 -1.0851e-4]; miuH2=[27.758 2.1200e-1 -3.2800e-5]; miuH2O=[-3.6826e1 4.2900e-1 -1.6200e-5]; miuO2=[44.224 5.62e-1 -1.13e-4];
konsmiu=[miuH2O;miuCH4;miuCO;miuCO2;miuH2;miuO2]; miunya=konsmiu(:,1)+T.*konsmiu(:,2)+(T^2).*konsmiu(:,3); miuavg=y*miunya*1e-7;%kg/m/s
%data kinetika reaksi
A=[1.17E15;5.43E5;2.83E14];%konstanta tumbukan Er=[240100;67130;243900];%energi aktivasi
M=[18.015 16.043 28.01 44.01 2.016 31.999];%BM masing2 zat R=8.3145;%kj/kmol/K
%perhitungan konstanta laju reaksi
AK1=A(1)*exp(-Er(1)/R/T)*1e-3;%kgmol/kgcat/s AK2=A(2)*exp(-Er(2)/R/T)*1e-3;%kgmol/kgcat/s AK3=A(3)*exp(-Er(3)/R/T)*1e-3;%kgmol/kgcat/s %perhitungan konstanta adsorpsi CO
AKCO=8.23E-5*exp(8497.71/T); AKH2=6.12E-9*exp(9971.13/T); AKH2O=1.77E5*exp(-10666.35/T); AKCH4=6.65E-4*exp(4604.28/T);
%perhitungan konstanta keseimbangan AKP1=exp(-26830/T+30.114); AKP2=exp(4400/T-4.063); AKP3=AKP1*AKP2; %term adsorption DEN=1+AKCO*PCO+AKH2*PH2+AKCH4*PCH4+AKH2O*PH2O/PH2; DEN=DEN^2;
r2=AK1*((PCH4*PH2O-PH2^3*PCO/AKP1)/DEN/PH2^2.5); r3=AK2*((PCO*PH2O-PH2*PCO2/AKP2)/DEN/PH2); r4=AK3*((PCH4*PH2O^2-PH2^4*PCO2/AKP3)/DEN/PH2^3.5); RJ=8.3145;%kJ/kgmol/K k1a=8.11e5*exp(-86000/RJ/T)*1e-3;%kgmol/kgcat/s k1b=6.82e5*exp(-86000/RJ/T)*1e-3;%kgmol/kgcat/s KCCH4=1.26e-1*exp(27300/RJ/T);%bar-1 KCO2=7.78e-7*exp(92800/RJ/T);%bar-1 ohm=1+KCCH4*PCH4+KCO2*PO2; r1=k1a*PCH4*PO2/ohm^2+k1b*PCH4*PO2/ohm; % k1a=3.287e2*exp(-30800/RJ/T)*1e-3%kgmol/kgcat/s % KCCH4=2.02e-3*exp(36330/RJ/T)%bar-1 % KCO2=7.4e-5*exp(57970/RJ/T)%bar-1 % ohm=1+KCCH4*PCH4+KCO2*abs(PO2)^0.5 % r1=k1a*PCH4*abs(PO2)^0.5/ohm^2
%CPdT tiap zat chem prop handbook, cp dalam kJ/kmol/
CPCH4=34.942*(T-TR)-3.9957E-2/2*(T^2-TR^2)+1.9184E-04/3*(T^3-TR^3)-1.5303E-07/4*(T^4-TR^4)+3 CPCO=29.556*(T-TR)-6.5807E-03/2*(T^2-TR^2)+2.0130E-05/3*(T^3-TR^3)+1.2227E-08/4*(T^4-TR^4)+ CPCO2=27.437*(T-TR)+4.2315E-02/2*(T^2-TR^2)+1.9555E-05/3*(T^3-TR^3)+3.9968E-09/4*(T^4-TR^4) CPH2=25.399*(T-TR)+2.0178E-02/2*(T^2-TR^2)-3.8549E-05/3*(T^3-TR^3)+3.1880E-08/4*(T^4-TR^4)-8 CPH2O=33.933*(T-TR)-8.4186E-03/2*(T^2-TR^2)+2.9906E-05/3*(T^3-TR^3)-1.7825E-08/4*(T^4-TR^4)+ CPO2=29.526*(T-TR)-8.8999e-03/2*(T^2-TR^2)+3.8083E-05/3*(T^3-TR^3)-3.2629E-08/4*(T^4-TR^4)+8 %panas reaksi chem prop handbook, kJ/kmol
DHR2=206200+(CPCO+3*CPH2-CPCH4-CPH2O); DHR3=-41100+(CPCO2+CPH2-CPCO-CPH2O); DHR4=164900+(CPCO2+4*CPH2-CPCH4-2*CPH2O); DHR1=-802700+(CPCO2+2*CPH2O-CPCH4-2*CPO2); %CP kJ/kgmol/K CPaCH4=34.942-3.9957E-2*T+1.9184E-04*T^2-1.5303E-07*T^3+3.9321E-11*T^4; CPaCO=29.556-6.5807E-03*T+2.0130E-05*T^2+1.2227E-08*T^3+2.2617E-12*T^4; CPaCO2=27.437+4.2315E-02*T+1.9555E-05*T^2+3.9968E-09*T^3-2.9872E-13*T^4; CPaH2=25.399+2.0178E-02*T-3.8549E-05*T^2+3.1880E-08*T^3-8.7585E-12*T^4; CPaH2O=33.933-8.4186E-03*T+2.9906E-05*T^2-1.7825E-08*T+3.6934E-12*T^4; CPaO2=29.526-8.8999e-03*T+3.8083E-05*T^2-3.2629E-08*T^3+8.8607E-12*T^4; %menghitung Cp campuran
CPa=[FH2O FCH4 FCO FCO2 FH2 FO2]*[CPaH2O;CPaCH4;CPaCO;CPaCO2;CPaH2;CPaO2]; CPa=CPa/FTOT;%kj/kmol/K
%data perhitungan pressure drop+koef perpan overall MAVG=M*[FH2O;FCH4;FCO;FCO2;FH2;FO2];%kg/kgmol MAVG=MAVG/FTOT;%berat molekul rata-rata
mtot=FTOT*MAVG;%kg/s G=mtot/(pi*Di^2/4);%kg/m2/s
RI=0.082;%m3atm/kgmol/K RHOG=P*MAVG/T/RI/1.01325;%kg/m3 REP=Dp*G/miuavg;%bil Re partikel %persamaan differensial dy1=r1*pi*Di^2*RHOB/4/2/FCH40;%/m dy2=(r2-r3)*pi*Di^2*RHOB/4/FH2OO;%/m dy3=((r1+r3+r4)*pi*Di^2*RHOB/4-FCH40*dy1)/FH2OO;%/m dT=(-FH2OO*(dy2*DHR2+dy3*(DHR3+DHR4))-FCH40*dy1*DHR1)/(FTOT*CPa);%K/m dP=-((150*(1-VOID)/REP+1.75)*G.^2/RHOG/Dp*(1-VOID)/VOID.^3)/1e5;%bar/m DHR=(-FH2OO*(dy2*DHR2+dy3*DHR3)-FCH40*dy1*DHR1); dydz=[dy1;dy2;dT;dP;dy3;DHR];
.9321E-11/5*(T^5-TR^5); .2617E-12/5*(T^5-TR^5); -2.9872E-13/5*(T^5-TR^5); .7585E-12/5*(T^5-TR^5); 3.6934E-12/5*(T^5-TR^5); .8607E-12/5*(T^5-TR^5);
steam+CO2 benfield+CO2 (rich benfield) yh G CO2 yang t lean benfie steam L yo 0 xo G
komposisi liquid in komposisi gas in
BM kmol/hr kadar BM
benfield 56.0616 491.524992 30.7369% steam 18
CO2 44 1107.612485 69.2631% CO2 44
total 47.7073597 1599.137477
MENENTUKAN DIAMETER BAGIAN BAWAH KOLOM STRIPPER L = massa cairan yang masuk kolom per satuan waktu
G = massa gas yang masuk kolom per satuan waktu - massa gas yg terserap per satuan waktu
L 1599.137477 kmol/hr xo 50.00% BM liquid 47.7073597 xh 69.26% H y x H y x HG L Kx L h o o h h a ln ) 1 ( 1 ' ' '
h o h Hx x x L Gmin
o
o x x G L y y
'
'L 76290.62685 kg/hr yo 0 21.19184079 kg/s H 0.234354 46.71953221 lb/s Gmin 55.4435786 lb/s G actual=1.3Gmin 1897.74812 kmol/hr G actual 83.1653679 lb/s 2846.62218 kmol/hr rho G 1.9867 kg/m3 0.124028881 lb/ft3 rho L 1259.01821 kg/m3 78.6 lb/ft3 (L/G)*(rhoG/rhoL)^0.5 0.154588089 delta P=0.12F^0.7 1.502873591 ich/ft
packing=raschig ring ring, 3 inch
F 37
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g) 0.2
ψ=ratio of the density of water to the density of liquid 0.794269687
miuliquid= 5.6 cp g= 32.2 rhoGrhoLg 313.9071759 F bla bla 41.47699819 G'^2 1.513644621 G' 1.230302654 lb/ft2sec A 67.59748719 ft2 D bawah 9.279625459 ft 2.828464234 m
MENENTUKAN DIAMETER BAGIAN ATAS KOLOM ABSORBER
L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per satuan waktu G = massa gas yang masuk kolom per satuan waktu
L 1812.498183 kmol/hr 86469.50276 kg/hr 24.01930632 kg/s 52.95296272 lb/s rho L 78.6 lb/ft3 Gmin 62.84099202 lb/s G actual 81.69328962 lb/s rho G 0.124028881 lb/ft3 (L/G)*(rhoG/rhoL)^0.2 0.178370872 delta P=0.12F^0.7 1.502873591 packing=raschig ring, 3 inch
F 37 37
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g) 0.03
ψ=ratio of the density of water to the density of liquid 0.794269687
miuliquid= 5.6 cp h o h Hx x x L Gmin
g= 32.2 rhoGrhoLg 313.9071759 F bla bla 41.47699819 G'^2 0.227046693 G' 0.476494169 A 171.4465673 D 14.77847321 ft 4.50453341 m
L 1599.137 kmol/hr
xh 69.26%
rserap steam 213.3607052 kmol/hr
ld 50.00% 1kg= 2.2046 lb 1m= 3.2808 ft P 4 atm T 175 C 448 K
o
o x x L y y
'
'H 0.0000736 kmol/m3KPa 0.00745752 mol/Latm
R 0.08205 Latm/molK
T 383 K
H 0.234353685
PERHITUNGAN DIAMETER DAN TINGGI KOLOM ABSORBER
Kondisi Operasi Aborber P tinggi, T rendah
P 27 atm
T 60 C
333 K
Packing=Raschig ring, 3 inch
F 37
ap 102 m2/m3
rho 561 kg/m3
Komposisi Gas Masuk
BM flow,kmol/hr y BM average CO2 44 274.146 0.04817456 2.11968 0.05061281 Yo CO2 CO 28 936.794 0.16461899 4.60933 H2O 18 2426.313 0.42636609 7.67459 CH4 16 0.099 1.7397E-05 0.00028 H2 2 2053.328 0.36082296 0.72165 O2 32 0 0 0.00000 total 5416.534 1 15.12553 BM Gas 15.12553 kg/kmol 5690.68
Larutan penyerap=MDEA yang diaktivasi dengan piperazine Komposisi MDEA
komponen x,wt mol BM x,mol
CO2 0.0000 0 44 MDEA 0.3700 0.003078946 120.171 0.083820053 piperazine 0.0300 0.000348282 86.137 0.009481508 H2O 0.6000 0.033305579 18.015 0.906698439 L,X1 G,Y1 G,Yo L,Xo
0.036732807 BM DMEA 27.266 g/mol Henry, H 0.4399373 Ca* = 0.01661 P = 0.0053 x y X Y H= 0.319088 0.0000 0.0000 0.0000 0.0000 H= H*Ct/P 0.439937 0.1000 0.0440 0.1111 0.0460 y= 0.439937 0.2000 0.0880 0.2500 0.0965 Y= 0.278 0.3000 0.1320 0.4286 0.1520 Ct=rho/BM(liquid) 0.4000 0.1760 0.6667 0.2136 rho L 1015 0.5000 0.2200 1.0000 0.2820 BM L 27.266 0.6000 0.2640 1.5000 0.3586 Ct 37.22585 slope 0.267 xo 0.18956108
yo 0.0506128 slope itungan 0.26602607 rho G 12
y1 0.0001846 0.749155 x1 0 5403.49178 23101.7886 1kg= 1m= Diameter atas
L = massa cairan yang masuk kolom per satuan waktu
G = massa gas yang masuk kolom per satuan waktu - massa gas yg terserap per satuan waktu
G 5416.534 kmol/hr 0.39296293 G 81927.9275 kg/hr
Lmin 20360.915 kmol/hr kmol/m2.s 22.7577576 kg/s
L=2*Lmin 50.1717525 lb/s L 28505.28 kmol/hr L 28505.2803 kmol/hr rho L 63.366041 lb/ft3 777224.974 kg/hr rho G 0.7491552 lb/ft3 215.895826 kg/s 475.963938 lb/s (L/G)*(rhoG/rhoL)^0.5 1.031507476 G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g) 0.023 delta P 1.1739851 inc/ft F= 26 pallring,2i
ψ=ratio of the density of water to the density of liquid 0.79426969
miuliquid= 2 cp g= 32.2 rhoGrhoLg 1528.56612 Fblabla 23.7217834 G'^2 1.48205639 lb/ft2.s G' 1.21739739 lb/ft2.s A 41.2123051 ft2 D 7.24567124 ft 2.20850745 m
h h x H y y y G L 0 0 min1.1739851 delta P
Tinggi absorber
xo xo
kalo pake x
integrasi dengan simpson rule Kya 0.02164032
Yo 0.0506128 Kya harusnya segini 0.085
Y1 0.0001846 0.3 Xo 0.0095823 X1 0 m 0.267 dY 0.0050428 Y X Y* 1/f(x) factor dA 0.0506128 0.0095823 0.002558473 20.8097766 1 20.8097766 0.04557 0.0086241 0.002302625 23.112108 4 92.4484319 0.0405272 0.0076658 0.002046778 25.9872606 2 51.9745213 0.0354844 0.0067076 0.001790931 29.6793844 4 118.717537 0.0304415 0.0057494 0.001535084 34.5943557 2 69.1887113 0.0253987 0.0047911 0.001279236 41.4602671 4 165.841068 0.0203559 0.0038329 0.001023389 51.7263504 2 103.452701 0.0153131 0.0028747 0.000767542 68.7496208 4 274.998483 0.0102703 0.0019165 0.000511695 102.474102 2 204.948205 0.0052274 0.0009582 0.000255847 201.142832 4 804.571328 0.0001846 0 0 5416.534 1 5416.534 jumlah 7323.48476 NoG = dX/3*dA NoG 12.310336 HoG=G/Kya HoG 2.3979341 Z 29.519374 m tinggi packing 35.42324929 m ln H=20.267-1.383*10^4/T +0.069*10^5/T2-0.016*10^11/T3+0.012*10^13/T4 ln H -54.834792 H 1.533E-24 komposisi mdea
G X Y Yo Xo L
G dX Z Kya Y HX
h o
h oy
y
L
G
x
x
P a K a K y
G * L G G k H k K
1 1komponen Mr X kmol/hr x X
CO2 44.010 0.0002 273.15 0.0095 0.0096
MDEA 120.171 2390.86 0.0830
piperazine 86.137 270.45 0.0094
500ppm=500mg/L 0.0005
Komposisi Gas Keluar
flow,kmol/hr y CO2 1 0.000184586 0.00018462 y1 CO2 CO 936.794 0.172918896 H2O 2426.313 0.447862994 CH4 0.099 1.8274E-05 H2 2053.328 0.379015249 O2 0 0 5417.534 1
kmolCo2/m3 solution
atm(dari data kelarutan CO2 di udara) atm.m3/kmol x X kg/m3 63.36604 lb/ft3 kg/kmol kmol/m3 kg/m3 lb/ft3 2.2046 lb 3.2808 ft Diameter bawah
L = massa cairan yang masuk kolom per satuan waktu + massa gas yg terserap per G = massa gas yang masuk kolom per satuan waktu
G 5416.534 kmol/hr G actual=0.8*Gflooding 81927.92747 kg/hr G actual
22.75775763 kg/s
2.068023 50.17175247 lb/s
kmol/m2.s L 28523.6991 kmol/hr 20374.07 kmol/hr 777727.1797 kg/hr 28523.7 kmol/hr 216.0353277 kg/s 216.0353 kg/s 476.2714834 lb/s 476.2715 lb/s
(L/G)*(rhoG/rhoL)^0.5 1.032174
G'^2*F*ψ*miu^0.2/(rhoG*rhoL*g) 0.021
inch (metal) delta P 1.1739851
F= 26
ψ=ratio of the density of water to the density of liquid 0.7942697
miuliquid= 2 g= 32.2 rhoGrhoLg 1528.5661 F bla bla 23.721783 G'^2 1.3531819 G' 1.1632635 A 43.130171 D 7.4123473 y = 0.2673x 0.0000 0.0500 0.1000 0.1500 0.2000 0.2500 0.3000 0.3500 0.4000 0.4500 0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 1.2000 1.4000 1.6000
2.2593109 0.013415 0.189561 0=yo/slope L' 56.38672256 kg/m2.s 56.38672 kmol/hr σc 75 mN/m σL 83.8 mN/m ap 102 m2/m3 miu L 0.001 kg/m.s rho L 1015 kg/m3 g 9.8 m/s2 a -1.33423072 b 1.880432151 c 1.187572724 d 0.205498518 e -0.61229049 aw/ap 0.457892245 0.457892245 aw 46.70500901 m2/m3 Ct=rho/MR Ct 37.22584904 kmol/m3 kx 0.021427584 kmol/m2.s Y 0.267 X Kya 0.163875613 kmol/m3.s
0,2 2 05 , 0 2 2 1 , 0 75 , 0 45 , 1 exp 1 p L L L p L p L c p w a ρ LK g ρ a LK μ a LK σ σ a a s P k k y
g x lk
k Ct
1 1 1 x w x y K a a k mk
satuan waktu
ft2 ft
Series1
m
G' 5.943771074 kg/m2.s miu G 1.50531E-05 Pa.s
rho G 12 kg/m3 DG 3.45527E-06 m2/s dp 0.0508 m R 0.08205 Latm/molK T 333 K a 1698.192263 b 0.713380235 c 0.037245365 d 1.28991E-05 0.00058202 kg 0.000582021 kmol/m2.s.atm DL 5.77416E-10 m2/s a 0.578245734 b 0.024209023 c 1.931014583 d 0.021293809 kl 0.00057561 m/s 0.00057561 ky 0.015714579 kmol/m2.s φ 2.26
MB=berat molekul solven 27.266 kg/kmol
R 0.08205 L.atm/molK Tb 194.5 K P 27 atm miu 0.001 kg/m.s VA 0.034 m3/kmol DAB 5.7742E-10 m2/s RT D a d a D ρ μ μ a GK k p p p G G G G G p g 2 3 1 7 , 0 ) ( . . 23 , 5
3 1 4 0 2 1 3 2 . ) ( . 0051 , 0
g μ ρ d a D ρ μ μ a LK k L L , p p L L L L w l 1 18 2 0,6117,3.10 .(
) .
.
B B AB B Aφ .M
T
D
μ V
Kondisi Operasi Stripper
Stripper beroperasi pada tekanan rendah dan suhu tinggi
P 2 atm
T 115 C
388 K
Larutan MDEA yang sudah jenuh dengan CO2, distripper dengan steam superheated
P steam 4 atm
T steam 175 C
Bahan Isian Packing
Pall ring ceramic dengan diameter 2 inch (0.0508 m)
F 20
ap 102 m2/m3 CO2 yang terb
rho 353 kg/m3 2.553
Komponen Rich Solution
komponen Mr x, wt kmol x,mol rho
CO2 44.010 0.088 2.553 0.00014 x MDEA 120.171 0.35 2390.86 0.08382 0.084 piperazine 86.137 0.029 270.45 0.00948 0.009 H2O 18.015 0.533 25862.39 0.90670 0.907 massa 777224.974 kg/hr 28523.7 1.00000 27.22389845 MR solven 27.2238984 kg/kmol
Tekanan uap dapat dihitung dengan persamaan Antoine
P01=(exp(140.54-(4735/T1)-(21.2 dengan : EXP(94,4914-6789,04/A4-11,4519*LN(A4) P° : tekanan uap, mmHg Rich solution :
0 0 0 0 0 0 0 0 0 0 0 01
1
1
1
1
1
1
x
x
x
x
G
L
y
y
x
x
x
x
G
L
y
y
y
0 0 0 0 0 0 2 0 0 0 0 ( ) ( ) 1 1 1 1 (1 ) ( 1 [( ) ( )] 1 1 1 l x x Z l s l Z x x s s s s L dx dZ K a y L x x y G x x x x H y L x x y G x x
16
,
0
39
,
3103
5898
,
22
exp
2T
P
COoT : suhu, K P01=(exp(14 EXP(94,4914-6 Po 2849.08751 366.6228899 y 1424.54376 183.3114449 y x X Y 0 0 0 0.0000 0.1 0.0005455 0.000545817 0.1111 0.2 0.001091 0.001092231 0.2500 0.3 0.0016366 0.001639242 0.4286 0.4 0.0021821 0.002186851 0.6667 0.5 0.0027276 0.002735059 1.0000 0.6 0.0032731 0.003283867 1.5000 0.7 0.0038186 0.003833276 2.3333 0.8 0.0043642 0.004383287 4.0000 0.9 0.0049097 0.004933901 9.0000
jumlah steam stripping: mGm/Lm = 0.7 sd 0.8
ambil m.Gm/Lm = 0.7 (Colburn)
berdasar pengalaman :
Gm/Lm = 0.03347171 taken from stripper Kaltim 3 Lm = 28523.7 kmol/hr
Gm = 954.737137 kmol/hr
massa Gm = 17199.8569 kg/hr 4.777738014 kg/s
P0=(exp(140.54-(4735/T)-(21.268*log(T))+(4.0909E-2*T)))*9.869233E-6; dalam atm po = 366.62289 atm m = 183.311445 mGm/Lm = 0.7 Lm = 28523.7 kmol/hr Gm = 108.921677 kmol/hr massa Gm = 1962.25451 kg/hr 0.545070697 kg/s
menghitung diameter menara
rho L = 1283 kg/m3 rho steam = 1.988 kg/m3 FLV 1.17602595
dari grafik didapat
0.0000 1.0000 2.0000 3.0000 4.0000 5.0000 6.0000 7.0000 8.0000 9.0000 10.0000 0 0.001 cair ρ gas ρ G L F TOTAL TOTAL LV
K4 0.7 diambil percentage flooding 80% Diamter atas s
K4 baru 0.448 L = massa caira
G = massa gas Lm
Gm
massa Gm rho L
miu L = 0.001 kg/m.s rho steam
rho gas(rho cair-rho gas) 2546.6519 FLV
42.9 bla 210.21545 dari grafik dida
GK^2 5.4272893 K4 GK, kg/m2/s = 2.3296543 kg/m2.s 0.129315466 kmol/m2.s K4 baru A = G/GK 2.0508356 m2 GK^2 D = 1.6163321 m D bawah GK LK,kg/m2/s = 96.00818 kg/m2.s 3.526613954 kmol/m2.s A=G/GK D atas Perhitungan Tinggi Menara
Diffusivitas Liquid
Indeks A menunjukkan
soluteIndeks B menunjukkan
solventM
B: berat molekul solven, gr/gmol
27.224 kg/kmolV
A:
volume molar solutepada titik didihnya, cm
3/gmol
Tb
: suhu didih solute, K =
194.5f
B: konstanta, untuk cairan (air) f
B= 2,26
R = 0.08206 L.atm/gmol/K VCO2 = 0.034 m3/kgmol miuB = 0.001 kg/m/s DAB = 2.7150E-09 m2/s
Diffusivitas CO2 dalam gas
Difusivitas biner dapat dihitung dengan menggunakan persamaan Chapman-Enskog sebagai berikut :
0 1 2 4 42, 9. . . ( ) , μ cair GK Fp cair K
ρ gas ρ cair ρ gas
P Tb R V A
. 1 18 2 0,6117, 3.10 .(
) .
.
B B AB B Aφ .M
T
D
μ V
4 5 , 0 5 , 1 . 001858 , 0 T M i dengan :
T
:
suhu,
K
P
: tekanan, atm
M
ij: berat molekul gabungan
s
ij: diameter tumbukan gabungan
ε
ij: karakteristik Lennard-Jones gabungan, K
(Perry, 1997)
Hasil perhitungan koefisien difusivitas antara CO2melalui masing-masing komponen penyusun gas um
Tabel 3. Koefisien difusivitas gas CO
2melalui campuran gas umpan
Komponen
s
ijM
ijW
DD
ijCO2- H2O 3.291 397.412 0.0782 1.6467 1.1133E-05
*---Koefisien Transfer
Massa---Koefisien transfer massa fasa gas dan cair ditentukan menggunakan
metode Onda, yang dinyatakan dalam bentuk persamaan sebagai berikut :
Ct=rho/MR 2 . .
W
D ij ij Ps
j i ij BM BM M 1 1 ) ( 2 1 j i ij σ σ σ
1 , 0 575 1 909 4 . 911 , 1 . 54 44
W
ij , , ij D ε kT ε kT , 5 , 0 .
k ε k ε k εij i j k ε ij
0,2 2 05 , 0 2 2 1 , 0 75 , 0 45 , 1 exp 1 p L L L p L p L c p w a ρ LK g ρ a LK μ a LK σ σ a a s RT D a d a D ρ μ μ a GK k p p p G G G G G p g 2 3 1 7 , 0 ) ( . . 23 , 5
3 1 4 0 2 1 3 2 . ) ( . 0051 , 0
g μ ρ d a D ρ μ μ a LK k L L , p p L L L L w l P k k y
g x lk
k Ct
dengan :
Indeks L menunjukkan cairan
Indeks G menunjukkan gas
a
w:
interfacial areaefektif, m
2/m
3s
C: tegangan muka kritis untuk bahan
packing, untuk metal s
c= 75 mN/m
s
L: tegangan muka cairan pada suhu 70°C
64.009 mN/nD
: koefisien difusivitas, m
2/s
k
g: koefisien transfer massa pada film gas, kmol/m
2.s.atm
k
y: koefisien transfer massa pada film gas, kmol/m
2
.s
k
l: koefisien transfer massa pada film cairan, m/s
k
x: koefisien transfer massa pada film cairan, kmol/m
2.s
K
ya
: koefisien transfer massa overall volumetric, kmol/m
3.s
P
o: tekanan uap, kg/cm
2(Coulson and
miu steam = 15.0531 mP.s 1.50531E-05 kg/m/s
Tekanan uap dapat dihitung dengan persamaan Antoine
..…….(55)
dengan :
P°
: tekanan uap, mmHg
T
:
suhu,
K
σc 75 mN/m GK 2.329654325 σL 64.009 mN/m miu G 1.50531E-05 LK 96.0081802 kg/m2.s rho G 18.015 miu L 0.001 kg/m.s DG 1.11326E-05 ap 102 m2/m3 R 0.08205 rhoL 1283 kg/m3 T 388 g 9.8 m/s2 dp 0.0508 a 881.551006 a -1.6329979 b 0.421822266 b 1.9832196 c 0.037245365 c 0.86751474 d 3.56686E-05 d 0.25604151 kg 0.00049401 aw/ap 0.51293402 aw 52.3192704 m2/m3 w x y y a k k k a K 1 1
P P k o
16 , 0 39 , 3103 5898 , 22 exp 2 T PCOo
0,2 2 05 , 0 2 2 1 , 0 75 , 0 45 , 1 exp 1 p L L L p L p L c p w a ρ LK g ρ a LK μ a LK σ σ a a s a μ GK k p g . . 23 , 5
ky 0.000988019 DL 2.7150E-09 m2/s a 16.02778 b 0.05902 Ct=rho/mr c 1.9310146 Ct 47.12771032 d 0.019694 kx 0.08085908 kL 0.0017157 m/s Kxa 0.510684463 kmol/m3.s
Integrasi dengan simpson rule
xo = 0.00014 yo = 0 H 1424.543755 x1 = 0.000 Xo = 0.000139019 dx = 0.0000139 Tinggi Stripper x X f(x) 1/f(x) factor dA 0.000 0 2.661E-06 375743.0487 1 375743.0487 0.000 1.39E-05 1.629E-05 61369.14704 4 245476.5882 0.000 2.7801E-05 2.993E-05 33414.0756 2 66828.15121 0.000 4.1702E-05 4.356E-05 22957.14839 4 91828.59356 0.000 5.5603E-05 5.719E-05 17485.40278 2 34970.80555 0.000 6.9505E-05 7.082E-05 14120.11747 4 56480.46987 0.000 8.3407E-05 8.445E-05 11841.24845 2 23682.4969 0.000 9.7309E-05 9.808E-05 10195.82054 4 40783.28218 0.000 0.00011121 0.0001117 8951.951386 2 17903.90277 0.000 0.00012512 0.0001253 7978.629608 4 31914.51843 0.000 0.00013902 0.000139 7196.245021 1 7196.245021 992808.1024 Luas = dx/3*(Total) luas 4.6000109 HoG 6.9056613 Z 31.766117 m 3 1 4 0 2 1 3 2 . ) ( . 0051 , 0
g μ ρ d a D ρ μ μ a LK k L L , p p L L L L w l k y k gP
x lk
k Ct
w x y y a k k k a K 1 1
0 0 0 0 0 0 2 0 0 0 0 ( ) ( ) 1 1 1 1 (1 ) ( 1 [( ) ( )] 1 1 1 l x x Z l s l Z x x s s s s L dx dZ K a y L x x y G x x x x H y L x x y G x x
wa steam kmol/hr
Lean Solution
massa x,wt htng kmol x, mol x,wt mol x, mol
0 0.000 0.000 0.000 0 0 0.00000
272028.741 0.384 2263.678 0.089 0.37 0.003078942 0.08382 22539.5242 0.032 261.671 0.010 0.03 0.000348283 0.00948 414260.911 0.584 22994.975 0.901 0.6 0.033305061 0.90670
708829.176 25520.323 assumsi hanya CO2 yang terstripping 0.036732286 8*log(T1))+(4.0909E-2*T1)))*9.869233E-6; -0,010454*A4) Lean Solution
0.54-(4735/T1)-(21.268*log(T1))+(4.0909E-2*T1)))*9.869233E-6;
789,04/A4-11,4519*LN(A4)-0,010454*A4)
0.002 0.003 0.004 0.005 0.006
tripper
n yang masuk kolom per satuan waktu + massa gas yg terserap per satuan waktu yang masuk kolom per satuan waktu
28526.253 kmol/hr 954.737137 kmol/hr 17199.8569 kg/hr 4.777738014 kg/s 1283 kg/m3 1.988 kg/m3 1.17613121 pat
0.4 diambil percentage flooding 80% 0.32
4.84579399
2.20131642 kg/m2.s 2.17040039 m2 1.66278118 m
for water