home.gif
TABLE 1 - DUAL LANGMUIR
Adsorbate: CH4, Adsorbent: Activated Carbon DEGUSORB F30/470 (CHEMVIRON)
Reference: Thesis, Wilfried Schütz - Essen 1988.

XE=XM1×P×B(x,1)/(1+P×B(x,1))+XM2×P×B(x,2)/(1+P×B(x,2)

- Subscripts or array serial number 1 and 2: related to low and high activity surfaces
  respectively,
- Array serial number x: indicating number of isotherm,
- XE: total adsorbed quantity,
- XM: maximum adsorbable quantity,
- P:   adsorbate pressure,
- B:   constant (inverse of pressure),
- H:   (differential) heat of adsorption.

THE FOLLOWING INPUT DATA HAVE BEEN USED:
LOADING 1st ISOTHERM AT 302.80 °K   LOADING 2nd ISOTHERM AT 323.35 °K
# 1,   0.1418 mmole/g  at
# 2,   0.3459 mmole/g  at
# 3,   0.6749 mmole/g  at
# 4,   1.1724 mmole/g  at
# 5,   2.0153 mmole/g  at
# 6,   3.0299 mmole/g  at
# 7,   4.0625 mmole/g  at		 0.09 bar 
0.23 bar 
0.55 bar 
1.22 bar 
3.04 bar 
6.88 bar 
14.28 bar 
     # 1,   0.1239 mmole/g  at
# 2,   0.2629 mmole/g  at
# 3,   0.5677 mmole/g  at
# 4,   1.0077 mmole/g  at
# 5,   1.6820 mmole/g  at
# 6,   2.6772 mmole/g  at
# 7,   3.5465 mmole/g  at		 0.12 bar 
0.28 bar 
0.71 bar 
1.56 bar 
3.50 bar 
8.23 bar 
15.48 bar 
RESULT ISOTHERM NR. 1: ON HIGHER ACT. SURFACE, B(1,1)= 1.172 1/bar
ON LOWER ACT. SURFACE, B(1,2)= 0.0957 1/bar
RESULT ISOTHERM NR. 2: ON HIGHER ACT. SURFACE, B(2,1)= 0.731 1/bar
ON LOWER ACT. SURFACE, B(2,2)= 0.0602 1/bar
RESULT DUAL LANGMUIR:


AT 313.15 °K:		 HIGHER ACT. SURFACE
XM1= 1.0406E-3 kmole/kg,
H1 = 18663 kJ/kmole,
B1 = 0.9170 1/bar,		 LOWER ACT. SURFACE
XM2= 5.3483E-3 kmole/kg.
H2 = 18371 kJ/kmole.
B2 = 0.0752 1/bar.



            DATA CHECK FOR FIRST ISOTHERM AT 302.80 °K                      DEVIATION
FOR NR. 1 AT
FOR NR. 2 AT
FOR NR. 3 AT
FOR NR. 4 AT
FOR NR. 5 AT
FOR NR. 6 AT
FOR NR. 7 AT		 0.09 bar,
0.23 bar,
0.55 bar,
1.22 bar,
3.04 bar,
6.88 bar,
14.28 bar,		 XElow=0.00004567
XElow=0.00011517
XElow=0.00026740
XElow=0.00055909
XElow=0.00120519
XElow=0.00212318
XElow=0.00308822		 XEhigh=0.00009925
XEhigh=0.00022087
XEhigh=0.00040775
XEhigh=0.00061222
XEhigh=0.00081244
XEhigh=0.00092571
XEhigh=0.00098187		 XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc= 		+2.20 % 
-2.85 % 
+0.04 % 
-0.09 % 
+0.12 % 
+0.63 % 
+0.19 % 
           DATA CHECK FOR SECOND ISOTHERM AT 323.35 °K                    DEVIATION
FOR NR. 1 AT
FOR NR. 2 AT
FOR NR. 3 AT
FOR NR. 4 AT
FOR NR. 5 AT
FOR NR. 6 AT
FOR NR. 7 AT		 0.12 bar,
0.28 bar,
0.71 bar,
1.56 bar,
3.50 bar,
8.23 bar,
15.48 bar,		 XElow=0.00003835
XElow=0.00008863
XElow=0.0002191+
XElow=0.00045901
XElow=0.00093051
XElow=0.00177150
XElow=0.00257942		 XEhigh=0.00008396
XEhigh=0.00017687
XEhigh=0.00035566
XEhigh=0.00055454
XEhigh=0.00074826
XEhigh=0.00089232
XEhigh=0.00095612		 XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc= 		-1.29 % 
+0.99 % 
+1.25 % 
+0.58 % 
-0.19 % 
-0.50 % 
-0.31 % 


TABLE 2 - SINGLE LANGMUIR
Adsorbate: CH4, Adsorbent: Activated Carbon DEGUSORB F30/470 (CHEMVIRON)
         Reference: Thesis, Wilfried Schütz - Essen 1988.

XE=XM×P×B/(1+P×B)

THE FOLLOWING INPUT DATA HAVE BEEN USED:
LOADING 1st ISOTHERM AT 302.80 °K   LOADING 2nd ISOTHERM AT 323.35 °K
# 1,   0.1418 mmole/g  at
# 2,   0.3459 mmole/g  at
# 3,   0.6749 mmole/g  at
# 4,   1.1724 mmole/g  at
# 5,   2.0153 mmole/g  at
# 6,   3.0299 mmole/g  at
# 7,   4.0625 mmole/g  at		 0.09 bar 
0.23 bar 
0.55 bar 
1.22 bar 
3.04 bar 
6.88 bar 
14.28 bar 
     # 1,   0.1239 mmole/g  at
# 2,   0.2629 mmole/g  at
# 3,   0.5677 mmole/g  at
# 4,   1.0077 mmole/g  at
# 5,   1.6820 mmole/g  at
# 6,   2.6772 mmole/g  at
# 7,   3.5465 mmole/g  at		 0.12 bar 
0.28 bar 
0.71 bar 
1.56 bar 
3.50 bar 
8.23 bar 
15.48 bar 

     RESULT, ISOTHERM  NR. 1: B1 = 0.3578 1/bar, ISOTHERM NR. 2: B2 =0.2237 1/bar.
RESULT SINGLE LANGMUIR: XM=4.2257E-3 kmole/kg, H= 18613 kJ/kmole,
B= 0.2802 1/bar AT 313.15 °K.

DATA CHECK FOR 1st ISOTHERM AT 302.80 °K   DEVIATION
FOR NR. 1 AT
FOR NR. 2 AT
FOR NR. 3 AT
FOR NR. 4 AT
FOR NR. 5 AT
FOR NR. 6 AT
FOR NR. 7 AT		 0.09 bar,
0.23 bar,
0.55 bar,
1.22 bar,
3.04 bar,
6.88 bar,
14.28 bar,		 XE=0.00013184
XE=0.00032132
XE=0.00069486
XE=0.00128410
XE=0.00220166
XE=0.00300502
XE=0.00353406		 XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc= 		-7.03 % 
-7.11 % 
+2.96 % 
+9.53 % 
+9.25 % 
-0.82 % 
-13.01 % 
 
DATA CHECK FOR 2nd ISOTHERM AT 323.35 °K;  DEVIATION
FOR NR. 1 AT
FOR NR. 2 AT
FOR NR. 3 AT
FOR NR. 4 AT
FOR NR. 5 AT
FOR NR. 6 AT
FOR NR. 7 AT		 0.12 bar,
0.28 bar,
0.71 bar,
1.56 bar,
3.50 bar,
8.23 bar,
15.48 bar,		 XE=0.00011046
XE=0.00024904
XE=0.00057908
XE=0.00109302
XE=0.00185546
XE=0.00273818
XE=0.00327874		 XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc=
XEcalc= 		-10.85 % 
-5.27 % 
+2.00 % 
+8.47 % 
+10.31 % 
+2.28 % 
-7.55 %