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Concentration profile for Granular Activated Carbon with averages of rwas data

Concentration Q(L/min)

Vg (L/min) Cin CI CII CIII Cout 0.5

0.5 3651 1121 147 0 0 1

0.5 3710 1178 196 27 19 2

0.5 3780 1087 169 50 31 h0.5 3918 1206 334 111 37

0.5 3862 1098 123 27 0 Q h

0.5 3606 1202 241 63 21 0.5 0

0.5 3839 935 180 23 9 0.25

1 2042 0.5

1 2042 872 201 18 0 0.75

1 2017 833 162 11 0 1

1 1673 654 172 20 0 1 0

1 1961 763 183 21 10 0.25

1 1891 784 183 55 15 0.5

1 1948 753 175 20 12

0.751 1462 624 180 37 22 1

1 1628 683 177 27 19 2 0

1 1624 673 160 25 22 0.25

1 1759 725 185 27 20 0.5

1 1758 425 182 40 19 0.75

1 1750 769 211 58 33 1

1 1849 735 199 40 20

1 2139 752 194 56 28

1 1966 732 190 44 18

2 834

2 834 328 230 73 41

2 1018 570 218 103 98

2 710 437 309 93 39

2 867 589 308 106 49

2 816 689 378 128 34

2 811 625 211 119 47

2 951 723 303 105 90

2 895 703 356 115 82

2 930 524 353 147 67

2 921 534 338 119 50

2 726 561 266 87 27

2 740 518 251 80 44

2 947 600 307 112 67

2 1002 690 301 124 66

2 1006 693 335 73 59

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Averges of C at various height of the bed

Cin CI CII CIII Cout

3767 1118 199 43 17

1831 718 184 33 16

878 586 298 106 57

0 0.25 0.5 0.75 1

C/Cin In(C/Cin) Sqrt(C/Cin)

1 0 1

0.296875 -1.21444 0.5448628

0.052746 -2.94227 0.22966503

0.011371 -4.47672 0.10663336

0.004478 -5.4085 0.06692045

1 0 1

0.392358 -0.93558 0.62638504

0.100281 -2.29978 0.31667199

0.01816 -4.00856 0.134757230.008709 -4.74341 0.09332137

1 0 1

0.666626 -0.40553 0.81647176

0.338854 -1.08218 0.58211208

0.120323 -2.11758 0.3468757

0.06528 -2.72908 0.25549859

-0.4

-0.2

0

0.2

0.4

0.6

0.8

11.2

0 0.2 0.4 0.6

conc.

ratio

bed height, h (

C/Cin;

-6

-5

-4

-3

-2

-1

0

1

0 0.2 0.4 0.6 0.

In(conc.

ratio)

bed height, h (

In(C/Cin

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.

conc.

ratio

bed height, h (%)

(C/Cin)^0

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-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6

conc.

ratio

bed height, h (%

C/Cin;

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

conc.

ratio

bed height, h (%)

(C/Cin)^0.5;

-6

-5

-4

-3

-2

-1

0

0 0.2 0.4 0.6 0.8

In(conc.

ratio)

bed height, h (%)

In(C/Cin);

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y = -0.9106x + 0.7284

R = 0.7217

0.8 1 1.2

%)

Q = 0.5

C/Cin

Linear (C/Cin)

y = -5.6317x + 0.0075

R = 0.9916

.8 1 1.2

)

); Q = 0.5

In(C/Cin)

Linear (In(C/Cin))

y = -0.9218x + 0.8505

R = 0.8756

1 1.2

.5; Q = 0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-0.4

-0.2

0

0.2

0.4

0.6

0.8

11.2

0 0.2 0.4 0.6 0.8 1

conc.

ratio

bed height, h(%)

C/Cin ; Q = 1

-6

-5

-4

-3

-2

-1

0

1

0 0.2 0.4 0.6 0.8 1

conc.

ratio

bed height, h (%)

In(C/Cin) ; Q= 1

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1

(conc.

ratio)^0.5

bed height, h (%)

(C/Cin)^0.5; Q =

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y = -0.9427x + 0.7753

R = 0.7905

1.2

C/Cin

Linear (C/Cin)

y = -5.0239x + 0.1145

R = 0.9863

1.2

In(C/Cin)

Linear (In(C/Cin))

y = -0.922x + 0.8952

R = 0.9212

.2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y =

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h (%)

C/Cin; Q= 2

y =

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.

ra

tio)

bed height, h (%)

In(C/Cin); Q = 2

I

y =

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h (%)

(C/Cin)^0.5; Q= 2

Sq

Lin

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y = -1.2424x + 1

R = 0.6707

1.2

C/Cin

Linear (C/Cin)

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.r

atio

bed height, h (%)

C/Cin; Q= 2

y = -1.0617x + 1

R = 0.8895

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h (%)

(C/Cin)^0.5; Q= 2

Sq

Lin

y = -4.8713x

R = 0.985

1.2

In(C/Cin)

Linear (In(C/Cin))

-3

-2.5

-2

-1.5

-1

-0.5

0

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.

ratio)

bed height, h (%)

In(C/Cin); Q = 2

I

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-0.9663x + 0.9214

R = 0.9446

C/Cin

Linear (C/Cin)

-2.8681x + 0.1672

R = 0.9806

In(C/Cin)

Linear (In(C/Cin))

-0.7834x + 0.9919

R = 0.9838

rt(C/Cin)

ear (Sqrt(C/Cin))

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y = -1.0711x + 1

R = 0.928

C/Cin

Linear (C/Cin)

y = -0.7942x + 1

R = 0.9835

rt(C/Cin)

ear (Sqrt(C/Cin))

y = -2.6452x

R = 0.9717

n(C/Cin)

inear (In(C/Cin))

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Perlite

Concentration

Vg (L/min) Cin CI CII CIII Cout

0.5 1046 616 384 0 0 early stage

0.5 1068 621 378 5 0

0.5 1099 775 390 13 0

0.5 1065 797 416 10 0 late stage

1 524 h

1 524 312 129 25 24

1 532 354 95 33 31

1 525 337 40 0 0 Early stage

1 578 347 44 16 0

1 589 369 23 10 0

1 611 357 26 0 0

1 583 345 23 0 0

1 540 308 38 10 0

1 562 394 61 20 10

1 576 371 50 15 0

1 538 308 22 0 0

1 616 331 29 0 0

1 511 314 37 0 0

1 540 321 29 0 0

1 591 409 105 12 0

1 557 396 114 10 0

1 578 384 66 0 0

1 531 304 47 0 0 Late stage

1 543 466 251 37 29

1 561 310 106 79 33

1 504 294 118 49 34

1 569 345 140 19 0

1 566 318 106 0 0

2 310

2 310 162 63 22 24

2 258 116 24 18 15

2 253 129 37 21 37

2 315 183 74 16 5

2 267 164 25 18 11

2 281 118 60 35 23

2 246 169 72 27 15

2 244 181 68 38 14

2 239 144 61 24 16

2 242 172 75 48 28

2 287 148 51 20 18

2 318 130 38 33 14

2 231 91 65 30 18

2 200 126 87 30 14

2 255 155 74 45 35

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2 243 205 89 53 29

2 247 203 78 35 19

2 343 212 50 36 19

0.5 1062

0.5 1062 746 407 154 56

0.5 1109 719 640 309 64

0.5 1116 591 546 352 94

0.5 851 717 255 121 56

0.5 869 505 300 137 22

0.5 1018 717 393 130 22

y = -0.9436x + 0.9391

R = 0.9795

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h (%)

C/Cin; Q = 0.5

C/Cin

Linear (C/Cin)

Concentration profile at the later stag

the experiment. when q is reduced t

L/min at empty bed residence time of

through 90, as shown in the experim

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0

In(conc.

ratio)

y = -0.7643x

R = 0.

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h (%)

Sqrt(C/Cin); Q = 0.5

Sqrt(C/Cin)

Linear (Sqrt(

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Averges of C at various height of the bed

Q(L/min) Cin CI CII CIII Cout

0.5 1069 702 392 7 0

1 558 348 74 15 72 266 156 61 31 20

0.5 1004 666 423 201 52

0 0.25 0.5 0.75 1

Q h C/Cin In(C/Cin) Sqrt(C/Cin)

0.5 0 1 0 1

0.25 0.656488 -0.42085 0.8102393

0.5 0.366539 -1.00365 0.6054244

0.75 0.006457 -5.04265 0.0803532

1 0 #NUM! 0

1 0 1 0 10.25 0.623463 -0.47247 0.7895966

0.5 0.132652 -2.02003 0.3642139

0.75 0.02622 -3.64123 0.161926

1 0.012535 -4.37926 0.1119583

2 0 1 0 1

0.25 0.58748 -0.53191 0.7664723

0.5 0.228537 -1.47606 0.4780555

0.75 0.11514 -2.16161 0.3393227

1 0.074082 -2.60258 0.2721805

0.5 0 1 0 1

0.25 0.663041 -0.41092 0.8142735

0.5 0.421522 -0.86388 0.64924740.75 0.199724 -1.61082 0.446905

1 0.052129 -2.95404 0.2283174

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.

conc.r

atio

-6

-5

-4

-3

-2

-1

0

1

2

0 0.2

In(conc.

rati

o)

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2

(conc.

ratio)^0.5

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e of

0.5

73

ntal

y = -2.8432x + 0.2537R = 0.9329

0.2 0.4 0.6 0.8 1 1.2

bed height, h (%)

In(C/Cin); Q= 0.5

In(C/Cin)

Linear (In(C/Cin))

+ 1.0099

973

(C/Cin))

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y = -1.06x + 0.9359

R = 0.947

0.4 0.6 0.8 1 1.2

bed height, h (%)

C/Cin; Q = 0.5

C/Cin

Linear (C/Cin)

y = -6.2843x + 0.7398

R = 0.7639

0.4 0.6 0.8

bed height, h (%)

In(C/Cin); Q = 0.5

In(C/Cin)

Linear (In(C/Cin))

y = -1.092x + 1.0452

R = 0.9512

0.4 0.6 0.8 1 1.2

bed height, h (%)

(C/Cin)^0.5; Q = 0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

conc.

ratio

bed h

-5

-4

-3

-2

-1

0

1

0 0.2 0.4 0.

In(conc.

rati

o)

bed heig

In(

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.

(conc.

Ratio)^0.5

bed heig

Sqr

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y = -1.0289x + 0.8734

R = 0.8673

0.6 0.8 1 1.2

ight, h (%)

/Cin; Q= 1

C/Cin

Linear (C/Cin)

y = -4.7709x + 0.2829

R = 0.972

.6 0.8 1 1.2

ht, h (%)

C/Cin); Q = 1

In(C/Cin)

Linear (In(C/Cin))

y = -0.9615x + 0.9663

R = 0.9378

6 0.8 1 1.2

t, h (%)

(C/Cin); Q = 1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.

conc.

ratio

bed height, h (%)

C/Cin;

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0 0.2 0.4 0.6 0.8

In(conc.

ratio)

bed height, h (%)

In(C/Cin);

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

(cocnc.

ratio)^0.5

bed height, h (%)

Sqrt(C/

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y = -0.9297x + 0.8659

R = 0.8828

1 1.2

= 2

C/Cin

Linear (C/Cin)

y = -2.7339x + 0.0125

R = 0.9865

1 1.2

Q = 2

In(C/Cin)

Linear (In(C/Cin))

y = -0.7531x + 0.9478

R = 0.9482

1 1.2

in)

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

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GAC

Order of kinetics Range of R2

Zero Order with reaction limitation 0.8828 - 0.947

Zero order with diffusion limitation 0.9482 - 0.9512

First order kinetics 0.7639 - 0.9865

GAC1

Order of kinetics Q R2 grad

Zero Order with reaction limitation 0.5 0.7219 -0.9108

Zero order with diffusion limitation 0.5 0.8757 -0.9222

First order kinetics 0.5 0.9915 -5.6389

Zero Order with reaction limitation 1 0.7911 -0.9428

Zero order with diffusion limitation 1 0.9212 -0.921

First order kinetics 1 0.9859 -4.9991

Zero Order with reaction limitation 2 0.9464 -0.9674

Zero order with diffusion limitation 2 0.9848 -0.7855

First order kinetics 2 0.98 -2.8821

GAC1

Order of kinetics Q R2 grad

Zero Order with reaction limitation 0.5 0.551 -1.2727

Zero order with diffusion limitation 0.5 0.8145 -1.1213

First order kinetics 0.5 0.9915 -5.6273

Zero Order with reaction limitation 1 0.6716 -1.2419

Zero order with diffusion limitation 1 0.8896 -1.0603

First order kinetics 1 0.9846 -4.8506

Zero Order with reaction limitation 2 0.9305 -1.07041

Zero order with diffusion limitation 2 0.9846 -0.7942

First order kinetics 2 0.9705 -2.6499

Perlite1Order of kinetics Q R

2grad

Zero Order with reaction limitation 0.5 0.9692 -0.993

Zero order with diffusion limitation 0.5 0.9935 -0.8474

First order kinetics 0.5 0.9392 -3.4721

Zero Order with reaction limitation 1 0.8678 -1.0283

Zero order with diffusion limitation 1 0.9378 -0.959

First order kinetics 1 0.9716 4.7283

Zero Order with reaction limitation 2 0.8871 -0.9292

Zero order with diffusion limitation 2 0.9513 -0.7501

First order kinetics 2 0.9877 -2.7075

Perlite1Order of kinetics Q R

2grad

Zero Order with reaction limitation 0.5 0.9591 -1.0756

Zero order with diffusion limitation 0.5 0.9925 -0.8256

First order kinetics 0.5 0.9143 -3.0106

Zero Order with reaction limitation 1 0.8329 -1.1967

Zero order with diffusion limitation 1 0.9347 -1.0039

First order kinetics 1 0.9628 -4.3596

Zero Order with reaction limitation 2 0.8404 -1.1034

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Zero order with diffusion limitation 2 0.9401 -0.8164

First order kinetics 2 0.9875 -2.6829

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Floating Regression

k

-0.4554

-0.4611

-2.81945

-0.9428

-0.921

-4.9991

-1.9348

-1.571

-5.7642

Fixed Regression

k

-0.63635

-0.56065

-2.81365

-1.2419

-1.0603

-4.8506

-2.14082

-1.5884

-5.2998

Floating Regressionk

-0.4965

-0.4237

-1.73605

-1.0283

-0.959

4.7283

-1.8584

-1.5002

-5.415

Fixed Regressionk

-0.5378

-0.4128

-1.5053

-1.1967

-1.0039

-4.3596

-2.2068

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-1.6328

-5.3658

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Concentration profile for Granular Activated Carbon

0 0.25 0.5

Concentration Calculated mass concentrations

Vg (L/min) Cin CI CII CIII Cout Cin/Cin CI/Cin CII/Cin

0.5 3651 1121 147 0 0 1 0.30703 0.040221

0.5 3710 1178 196 27 19 1 0.317541 0.052807

0.5 3780 1087 169 50 31 1 0.287632 0.0445880.5 3918 1206 334 111 37 1 0.307881 0.085363

0.5 3862 1098 123 27 0 1 0.284223 0.031973

0.5 3606 1202 241 63 21 1 0.333301 0.066965

0.5 3839 935 180 23 9 1 0.243636 0.046881

1 2042

1 2042 872 201 18 0 1 0.427181 0.0983

1 2017 833 162 11 0 1 0.412876 0.08011

1 1673 654 172 20 0 1 0.390801 0.102715

1 1961 763 183 21 10 1 0.388831 0.093517

1 1891 784 183 55 15 1 0.414692 0.096821

1 1948 753 175 20 12

1 0.386642 0.0897141 1462 624 180 37 22 1 0.427151 0.123398

1 1628 683 177 27 19 1 0.419745 0.108599

1 1624 673 160 25 22 1 0.414346 0.098466

1 1759 725 185 27 20 1 0.41203 0.105408

1 1758 425 182 40 19 1 0.241542 0.10363

1 1750 769 211 58 33 1 0.439219 0.120449

1 1849 735 199 40 20 1 0.3977 0.107561

1 2139 752 194 56 28 1 0.351643 0.09084

1 1966 732 190 44 18 1 0.372244 0.096827

2 834

2 834 328 230 73 41 1 0.393008 0.276278

2 1018 570 218 103 98 1 0.559623 0.2138432 710 437 309 93 39 1 0.615264 0.434954

2 867 589 308 106 49 1 0.678863 0.355042

2 816 689 378 128 34 1 0.844711 0.463002

2 811 625 211 119 47 1 0.771041 0.259763

2 951 723 303 105 90 1 0.760227 0.318698

2 895 703 356 115 82 1 0.785475 0.397765

2 930 524 353 147 67 1 0.563309 0.379047

2 921 534 338 119 50 1 0.579266 0.367258

2 726 561 266 87 27 1 0.772396 0.366732

2 740 518 251 80 44 1 0.699851 0.339507

2 947 600 307 112 671 0.633476 0.324103

2 1002 690 301 124 66 1 0.688583 0.300848

2 1006 693 335 73 59 1 0.688725 0.333124

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0.75 1 h

Averages of C/Cin

CIII/Cin Cout/Cin Q h C/Cin In(C/Cin)

0 0 0.5 0 1 0

0.007267 0.005191 0.25 0.29732 -1.21294

0.013115 0.008279 0.5 0.052686 -2.943410.028275 0.009499 0.75 0.011282 -4.48451

0.006895 0 1 0.004459 -5.41279

0.017485 0.005782 1 0 1 0

0.005939 0.002464 0.25 0.39311 -0.93367

0.5 0.10109 -2.29174

0.008742 0 0.75 0.018327 -3.9994

0.005442 0 1 0.008951 -4.71603

0.012076 0 2 0 1 0

0.010538 0.004976 0.25 0.668921 -0.40209

0.029283 0.008024 0.5 0.341998 -1.07295

0.010453 0.006231 0.75 0.121052 -2.111530.025151 0.015307 1 0.064065 -2.74786

0.016792 0.011798

0.015213 0.013683

0.01518 0.011445

0.02266 0.010753

0.033066 0.018843

0.021826 0.010682

0.025967 0.013324

0.022511 0.009195

0.087273 0.04964

0.100931 0.0961710.131353 0.054329

0.122748 0.056533

0.157367 0.041989

0.146511 0.057856

0.110588 0.0943

0.128492 0.09162

0.158197 0.072228

0.128838 0.053812

0.120136 0.037003

0.108476 0.059908

0.118523 0.0711560.12355 0.065497

0.072799 0.058934

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Sqrt(C/Cin)

1

0.5452709

0.22953330.1062185

0.066777

1

0.6269845

0.3179471

0.1353757

0.0946079

1

0.817876

0.5848056

0.34792550.2531109

y = -0.9108x + 0.

R = 0.7219

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.r

atio

bed height, h %

C/Cin, Q=0.5

C/Cin

Linear (C/

y = -1.2727

R = 0.5

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.r

atio

bed height, h %

C/Cin, Q=0.5

C/

y = -0.9428x + 0.

R = 0.7911

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.r

atio

bed height, h %

C/Cin, Q=1

C/Cin

Linear (C/Ci

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y = -1.2419x +

R = 0.6716

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C Cin, Q=1

C/Cin

Linear (C/Ci

y = -0.9679x + 0.923

R = 0.9464

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C/Cin, Q= 2

C/Cin

Linear (C/Ci

y = -1.0704x +

R = 0.9305

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C/Cin, Q=2

C/Cin

Linear (C/Ci

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7286

in)

x + 1

1

Cin

y = -0.9222x + 0.8507

R = 0.8757

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h %

Sqrt(C/Cin), Q=0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -1.1213x + 1

R = 0.8145

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h %

Sqrt(C/Cin), Q=0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

757

in)

y = -0.921x + 0.8955

R = 0.9212

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.r

atio)^0.5

bed height, h %

Sqrt(C/Cin), Q =1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

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1

in)

y = -1.0603x + 1

R = 0.8896

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.ra

tio)^0.5

bed height, h %

Sqrt(C/Cin), Q=1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

2

)

1

)

y = -0.7855x + 0.9935

R = 0.9848

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.r

atio)^0.5

bed height, h %

Sqrt(C/Cin), Q= 2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.7942x + 1

R = 0.9846

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.r

atio)^0.5

bed height, h %

Sqrt(C/Cin), Q=2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

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y = -5.6389x + 0.0087

R = 0.9915

-6

-5

-4

-3

-2

-1

0

1

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.r

atio)

bed height, h %

In(C/Cin), Q=0.5

In(C/Cin)

Linear (In(C/Cin))

y = -5.6273x

R = 0.9915

-6

-5

-4

-3

-2

-1

0

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.r

atio)

bed height, h %

In(C/Cin), Q=0.5

In(C/Cin)

Linear (In(C/Cin))

y = -4.9991x + 0.1114

R = 0.9859

-6

-5

-4

-3

-2

-1

0

1

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.ratio)

bed height, h %

In(C/Cin), Q=1

In(C/Cin)

Linear (In(C/Cin))

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y = -4.8506x

R = 0.9846

-6

-5

-4

-3

-2

-1

0

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.r

atio)

bed height, h %

In(C/Cin), Q=1

In(C/Cin)Linear (In(C/Cin))

y = -2.8821x + 0.1741

R = 0.98

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.r

atio)

bed height h, %

In(C/Cin), Q=2

In(C/Cin)

Linear (In(C/Cin))

y = -2.6499x

R = 0.9705

-3

-2.5

-2

-1.5

-1

-0.5

0

0 0.2 0.4 0.6 0.8 1 1.2

In(conc.r

atio)

bed height h, %

In(C/Cin), Q=2

In(C/Cin)

Linear (In(C/Cin))

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Perlite Adjusted

0 0.25 0.5

Concentration Calculated mass concentrations

Vg (L/min) Cin CI CII CIII Cout Cin/Cin CI/Cin CII/Cin

0.5 1046 616 384 0 0 1 0.589336 0.36683

0.5 1068 621 378 5 01 0.581461 0.353933

0.5 1099 775 390 13 0 1 0.704648 0.354791

0.5 1065 797 416 10 0 1 0.747952 0.391019

0.5 1062 746 407 154 56 1 0.702374 0.383119

0.5 1109 719 640 309 64 1 0.648197 0.576788

0.5 1116 591 546 352 94 1 0.529125 0.488911

0.5 851 717 255 121 56 1 0.843398 0.299354

0.5 869 505 300 137 22 1 0.580836 0.344809

0.5 1018 717 393 130 22 1 0.704481 0.386103

1 524

1 524 312 129 25 24 1 0.596429 0.246385

1 532 354 95 33 31 1 0.665414 0.178571

1 525 337 40 0 0 1 0.642125 0.076331

1 578 347 44 16 0 1 0.599554 0.076124

1 589 369 23 10 0 1 0.626867 0.039103

1 611 357 26 0 0 1 0.584744 0.042911

1 583 345 23 0 0 1 0.591935 0.040132

1 540 308 38 10 0 1 0.571212 0.069778

1 562 394 61 20 10 1 0.701212 0.10915

1 576 371 50 15 0 1 0.642888 0.086677

1 538 308 22 0 0 1 0.572853 0.041668

1 616 331 29 0 01 0.53717 0.047067

1 511 314 37 0 0 1 0.613954 0.072305

1 540 321 29 0 0 1 0.595439 0.054037

1 591 409 105 12 0 1 0.692093 0.177187

1 557 396 114 10 0 1 0.711713 0.205535

1 578 384 66 0 0 1 0.664496 0.114751

1 531 304 47 0 0 1 0.572184 0.089123

1 543 466 251 37 29 1 0.858392 0.462362

1 561 310 106 79 33 1 0.553089 0.189786

1 504 294 118 49 34 1 0.583335 0.234099

1 569 345 140 19 0 1 0.606409 0.245316

1 566 318 106 0 0 1 0.562216 0.1875432 310

2 310 162 63 22 24 1 0.522166 0.203644

2 258 116 24 18 15 1 0.448851 0.093071

2 253 129 37 21 37 1 0.511539 0.146795

2 315 183 74 16 5 1 0.580512 0.235549

2 267 164 25 18 11 1 0.613398 0.095272

2 281 118 60 35 23 1 0.418738 0.214253

2 246 169 72 27 15 1 0.685328 0.293131

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2 244 181 68 38 14 1 0.741089 0.278689

2 239 144 61 24 16 1 0.601529 0.255491

2 242 172 75 48 28 1 0.710403 0.309023

2 287 148 51 20 18 1 0.516826 0.176261

2 318 130 38 33 14 1 0.408547 0.120706

2 231 91 65 30 18 1 0.392727 0.280973

2 200 126 87 30 141 0.63172 0.43539

2 255 155 74 45 35 1 0.608269 0.290903

2 243 205 89 53 29 1 0.845139 0.365798

2 247 203 78 35 19 1 0.822033 0.314392

2 343 212 50 36 19 1 0.619183 0.147117

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0.75 1 h

Averages of C/Cin

CIII/Cin Cout/Cin Q h C/Cin In(C/Cin) Sqrt(C/Cin)

0 0 0.5 0 1 0 1

0.004682 0 0.25 0.663181 -0.41071 0.814359230.01184 0 0.5 0.394566 -0.92997 0.62814459

0.00902 0 0.75 0.119238 -2.12663 0.34530917

0.14525 0.052875 1 0.030739 -3.48222 0.17532554

0.278518 0.057312 1 0 1 0 1

0.315587 0.084607 0.25 0.623727 -0.47204 0.78976395

0.142398 0.065885 0.5 0.134171 -2.00864 0.36629411

0.157441 0.024812 0.75 0.026733 -3.62186 0.16350162

0.127648 0.021899 1 0.013096 -4.33545 0.11443772

2 0 1 0 1

0.048391 0.046299 0.25 0.593222 -0.52219 0.77020901

0.06203 0.058271 0.5 0.23647 -1.44193 0.48628173

0 0 0.75 0.118394 -2.13374 0.34408463

0.027692 0 1 0.075878 -2.57863 0.27545971

0.016858 0

0 0

0 0

0.0176 0

0.0361 0.018005

0.026216 0

0 0

0 00 0

0 0

0.019708 0

0.018628 0

0 0

0 0

0.068234 0.053132

0.141577 0.058573

0.097603 0.066929

0.034218 0

0 0

0.070737 0.078491

0.069219 0.056844

0.084791 0.145977

0.049246 0.015861

0.068672 0.040692

0.125898 0.083054

0.109468 0.061222

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0.157634 0.05704

0.099594 0.065326

0.199967 0.116856

0.070629 0.062019

0.102097 0.043902

0.13109 0.077587

0.150731 0.0711170.177652 0.138667

0.216705 0.119741

0.141898 0.076412

0.105067 0.054995

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y = -0.993x + 0.938

R = 0.9692

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C/Cin, Q=0.5

C/Cin

Linear (C/Cin)

y = -1.0756x + 1

R = 0.9591

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

c

onc.

ratio

bed height, h %

C/Cin, Q=0.5

C/Cin

Linear (C/Cin)

y = -1.0283x + 0.8737

R = 0.8678

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

cocn.

ratio

bed height, h %

C/Cin, Q=1

C/Cin

Linear (C/Cin)

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y = -1.1967x + 1

R = 0.8329

-0.4

-0.2

0

0.2

0.4

0.60.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

cocn.

ratio

bed height, h %

C/Cin, Q=1

C/Cin

Linear (C/Cin)

y = -0.9292x + 0.8694

R = 0.8871

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C/Cin, Q=2

C/Cin

Linear (C/Cin)

y = -1.1034x + 1

R = 0.8404

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

conc.

ratio

bed height, h %

C/Cin, Q=2

C/Cin

Linear (C/Cin)

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y = -0.8474x + 1.0163R = 0.9935

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h %

Sqrt(C/Cin), Q= 0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.8256x + 1

R = 0.9925

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(co

nc.r

atio)^0.

5

bed height, h %

Sqrt(C/Cin), Q= 0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

0

ln(conc.

ratio)

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0

ln(conc.

ratio)

y = -0.959x + 0.9663

R = 0.9378

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.r

atio)^0.

5

Sqrt(C/Cin), Q=1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-5

-4

-3

-2

-1

0

1

0

ln(conc.r

atio)

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,

y = -1.0039x + 1

R = 0.9347

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h%

Sqrt(C/Cin), Q=1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-5

-4

-3

-2

-1

0

0

ln(conc.

ratio)

y = -0.7501x + 0.9502

R = 0.9513

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.

ratio)^0.5

bed height, h %

Sqrt(C/Cin), Q=2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.8164x + 1

R = 0.9401

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8 1 1.2

(conc.r

atio)^0.5

bed height, h %

Sqrt(C/Cin), Q=2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0

ln(conc.r

atio)

-3

-2.5

-2

-1.5

-1

-0.5

0

0

ln(conc.ra

tio)

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y = -3.4721x + 0.3462

R = 0.9392

0.2 0.4 0.6 0.8 1 1.2

bed height, h %

In(C/Cin), Q=0.5

In(C/Cin)

Linear (In(C/Cin))

y = -3.0106x

R = 0.9143

0.2 0.4 0.6 0.8 1 1.2

bed height, h %

In(C/Cin), Q=0.5

In(C/Cin)

Linear (In(C/Cin))

y = -4.7283x + 0.2765

R = 0.9716

0.2 0.4 0.6 0.8 1 1.2

In(C/Cin), Q=1

In(C/Cin)

Linear (In(C/Cin))

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,

y = -4.3596x

R = 0.9628

0.2 0.4 0.6 0.8 1 1.2

bed height, h %

In(C/Cin), Q=1

In(C/Cin)

Linear (In(C/Cin))

y = -2.7075x + 0.0185

R = 0.9877

0.2 0.4 0.6 0.8 1 1.2

bed height, h %

In(C/Cin), Q=2

In(C/Cin)

Linear (In(C/Cin))

y = -2.6829x

R = 0.9875

0.2 0.4 0.6 0.8 1 1.2

bed height, h %

In(C/Cin), Q=2

In(C/Cin)

Linear (In(C/Cin))

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Tables of Values for R2, Q, gradient and k for boat floating and fixed intercept, when Granular Activated Carb

GAC1 Floating Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.7219 -0.9108 -0.4554

Zero Order with reaction limitation 1 0.7911 -0.9428 -0.9428

Zero Order with reaction limitation 2 0.9464 -0.9674 -1.9348

Zero order with diffusion limitation 0.5 0.8757 -0.9222 -0.4611Zero order with diffusion limitation 1 0.9212 -0.921 -0.921

Zero order with diffusion limitation 2 0.9848 -0.7855 -1.571

First order kinetics 0.5 0.9915 -5.6389 -2.81945

First order kinetics 1 0.9859 -4.9991 -4.9991

First order kinetics 2 0.98 -2.8821 -5.7642

GAC1 Fixed Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.551 -1.2727 -0.63635

Zero Order with reaction limitation 1 0.6716 -1.2419 -1.2419

Zero Order with reaction limitation 2 0.9305 -1.07041 -2.14082Zero order with diffusion limitation 0.5 0.8145 -1.1213 -0.56065

Zero order with diffusion limitation 1 0.8896 -1.0603 -1.0603

Zero order with diffusion limitation 2 0.9846 -0.7942 -1.5884

First order kinetics 0.5 0.9915 -5.6273 -2.81365

First order kinetics 1 0.9846 -4.8506 -4.8506

First order kinetics 2 0.9705 -2.6499 -5.2998

Perlite1 Floating Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.9692 -0.993 -0.4965

Zero Order with reaction limitation 1 0.8678 -1.0283 -1.0283

Zero Order with reaction limitation 2 0.8871 -0.9292 -1.8584

Zero order with diffusion limitation 0.5 0.9935 -0.8474 -0.4237

Zero order with diffusion limitation 1 0.9378 -0.959 -0.959

Zero order with diffusion limitation 2 0.9513 -0.7501 -1.5002

First order kinetics 0.5 0.9392 -3.4721 -1.73605

First order kinetics 1 0.9716 -4.7283 -4.7283

First order kinetics 2 0.9877 -2.7075 -5.415

Perlite1 Fixed Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.9591 -1.0756 -0.5378

Zero Order with reaction limitation 1 0.8329 -1.1967 -1.1967

Zero Order with reaction limitation 2 0.8404 -1.1034 -2.2068

Zero order with diffusion limitation 0.5 0.9925 -0.8256 -0.4128

Zero order with diffusion limitation 1 0.9347 -1.0039 -1.0039

Zero order with diffusion limitation 2 0.9401 -0.8164 -1.6328

First order kinetics 0.5 0.9143 -3.0106 -1.5053

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First order kinetics 1 0.9628 -4.3596 -4.3596

First order kinetics 2 0.9875 -2.6829 -5.3658

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n and Perlite were used as packing bed materials. Results, were achieved as shown in previous sheets

GAC1 FIXED

Order of kinetics Q R2

grad k Q

First order kinetics 0.5 0.9915 -5.6273 -2.81365 0.5

First order kinetics 1 0.9846 -4.8506 -4.8506

First order kinetics 2 0.9705 -2.6499 -5.2998

kavrg -4.32135

1

2

Perlite1 Fixed

Order of kinetics Q R2

grad k QFirst order kinetics 0.5 0.9143 -3.0106 -1.5053 0.5

First order kinetics 1 0.9628 -4.3596 -4.3596

First order kinetics 2 0.9875 -2.6829 -5.3658

kavrg -3.74357

1

-3

-2.5

-2

-1.5

-1

-0.5

0

-6 -5 -4 -3 -2 -1 0

Cpredicted

Cactual

Cpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpredicted)

-6

-5

-4

-3

-2

-1

0

-5 -4 -3 -2 -1 0

Cpredicted

Cactual

Cpredicted vs Cactual, Q=1

Cpredicted

Linear (Cpredicted)

-3

Whe

In(C/

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2

-1.8

-1.6

-1.4

-1.2

-1

-0.8

-0.6

-0.4

-0.2

0

-4 -3 -2 -1 0

Cpr

edicted

CactualCpredicted vs Cactual, Q=0.5

Cpredicted

Linear (Cpredicted)

Where, Cpredicted is calculated values of In(C/Cin)= h x k; Cactual is

In(C/Cin)from raw data

-6

-5

-4

-3

-2

-1

0

-3 -2.5 -2 -1.5 -1 -0.5 0

Cpredicted

CactualCpredicted vs Cactual, Q=2

Cpredicted

Linear (Cpredicted)

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(i.e. GAC1, Perlite1 and R2 tables). average of

Predicted Actual actual predict predicted actual

h Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 0 1 1 0 0 0

0.25 -0.70341 -1.21294 0.297322 0.494894 -1.08034 -1.08034 -0.84957

0.5 -1.40683 -2.94341 0.052686 0.24492 -2.16068 -2.16068 -2.1027

0.75 -2.11024 -4.48451 0.011282 0.121209 -3.24101 -3.24101 -3.531811 -2.81365 -5.41279 0.004459 0.059986 -4.32135 -4.32135 -4.29223

0 0 0 1 1

0.25 -1.21265 -0.93367 0.393108 0.297408

0.5 -2.4253 -2.29174 0.10109 0.088452

0.75 -3.63795 -3.9994 0.018327 0.026306

1 -4.8506 -4.71603 0.008951 0.007824

0 0 0 1 1

0.25 -1.32495 -0.40209 0.668921 0.265816

0.5 -2.6499 -1.07295 0.341998 0.070658

0.75 -3.97485 -2.11153 0.121053 0.018782

1 -5.2998 -2.74786 0.064065 0.004993

average of

Actual Predicted predicted actual

h Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 0 1 1 0 0 0

0.25 -0.37633 -0.41071 0.663181 0.686379 -0.93589 -0.93589 -0.46831

0.5 -0.75265 -0.92997 0.394566 0.471116 -1.87178 -1.87178 -1.46018

0.75 -1.12898 -2.12663 0.119238 0.323365 -2.80768 -2.80768 -2.62741

1 -1.5053 -3.48222 0.030739 0.221951 -3.74357 -3.74357 -3.46543

0 0 0 1 1

0.25 -1.0899 -0.47204 0.623727 0.33625

-6

-5

-4

-3

-2

-1

0

-2.5 -2 -1.5 -1 -0.5 0

Cpredicted

CactualCpredicted vs Cactual, Q=2

Cpredicted

Linear (Cpredicted)

re, Cpredicted is calculated values of In(C/Cin)= h x k; Cactual is

Cin)from raw data

-5 -4 -3 -

kaverage*h

Cacavrg

k average for all Q at vario

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0.5 -2.1798 -2.00864 0.134171 0.113064

0.75 -3.2697 -3.62186 0.026733 0.038018

1 -4.3596 -4.33545 0.013096 0.012784

0 0 0 1 1

0.25 -1.34145 -0.52219 0.593222 0.261466

0.5 -2.6829 -1.44193 0.23647 0.068365

0.75 -4.02435 -2.13374 0.118394 0.017875

1 -5.3658 -2.57863 0.075878 0.004674

-5

-4

-3

-2

-1

0

-5 -4 -3 -2 -1 0

Cp

redicted

CactualCpredicted vs Cactual, Q=1

Cpredicted

Linear (Cpredicted)

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

-4 -3 -2 -1 0

kaverage*h

Cacavrg

k average for all Q at various h vs average of Cactual at various h

kavrg*h

Linear (kavrg*h)

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GAC1 Float Predicted

Order of kinetics Q R2

grad k Q h Cpredicted

First order kinetics 0.5 0.9915 -5.6389 -2.81945 0.5 0 0

First order kinetics 1 0.9859 -4.9991 -4.9991 0.25 -0.70486

First order kinetics 2 0.98 -2.8821 -5.7642 0.5 -1.40973

kavrg -4.52758 0.75 -2.11459

1 -2.819451 0 0

0.25 -1.24978

0.5 -2.49955

0.75 -3.74933

1 -4.9991

2 0 0

0.25 -1.44105

0.5 -2.8821

0.75 -4.32315

1 -5.7642

-3

-2.5

-2

-1.5

-1

-0.5

0

-6 -5 -4 -3 -2 -1 0

Cpredicted

CactualCpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpred

-4

-3

-2

-1

0

-5 -4 -3 -2 -1 0

Cpredicted

Cactual

Cpredicted vs Cactual , Q=1

Cpredicted

Linear (Cpred

-5

-4.5

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

2 -1 0

s h vs average of Cactual at various h

kavrg*h

Linear (kavrg*h)

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-6

-5

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Actual actual predict

Cactual C/Cin C/Cin

0 1 1

-1.21294 0.297322 0.494177

-2.94341 0.052686 0.24421

-4.48451 0.011282 0.120683

-5.41279 0.004459 0.0596390 1 1

-0.93367 0.393108 0.286569

-2.29174 0.10109 0.082122

-3.9994 0.018327 0.023534

-4.71603 0.008951 0.006744

0 1 1

-0.40209 0.668921 0.236679

-1.07295 0.341998 0.056017

-2.11153 0.121053 0.013258

-2.74786 0.064065 0.003138

icted)

icted)

-7

-6

-5

-4

-3

-2

-1

0

-3 -2.5 -2 -1.5 -1 -0.5 0

Cpredicted

CactualCpredicted vs Cactual , Q=2

Cpredicted

Linear (Cpredicted)

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Perlite with averages of raw data

Concentration

Vg (L/min) Cin CI CII CIII Cout

0.5 1046 616 384 0 0

0.5 1068 621 378 5 0

0.5 1099 775 390 13 0

0.5 1065 797 416 10 0

0.5 1062 746 407 154 56 h0.5 1109 719 640 309 64

0.5 1116 591 546 352 94

0.5 851 717 255 121 56

0.5 869 505 300 137 22

0.5 1018 717 393 130 22

1 524

1 524 312 129 25 24

1 532 354 95 33 31

1 525 337 40 0 0

1 578 347 44 16 0

1 589 369 23 10 0

1 611 357 26 0 0

1 583 345 23 0 0

1 540 308 38 10 0

1 562 394 61 20 10

1 576 371 50 15 0

1 538 308 22 0 0

1 616 331 29 0 0

1 511 314 37 0 0

1 540 321 29 0 0

1 591 409 105 12 0

1 557 396 114 10 0

1 578 384 66 0 0

1 531 304 47 0 0

1 543 466 251 37 29

1 561 310 106 79 33

1 504 294 118 49 34

1 569 345 140 19 0

1 566 318 106 0 0

2 310

2 310 162 63 22 24

2 258 116 24 18 15

2 253 129 37 21 37

2 315 183 74 16 5

2 267 164 25 18 11

2 281 118 60 35 23

2 246 169 72 27 15

2 244 181 68 38 14

2 239 144 61 24 16

2 242 172 75 48 28

2 287 148 51 20 18

2 318 130 38 33 14

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2 231 91 65 30 18

2 200 126 87 30 14

2 255 155 74 45 35

2 243 205 89 53 29

2 247 203 78 35 19

2 343 212 50 36 19

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Averges of C at various height of the bed

Q(L/min) Cin CI CII CIII Cout

0.5 1030 680 411 123 31

1 558 348 74 15 7

2 266 156 61 31 20

0 0.25 0.5 0.75 1

Q h C/Cin In(C/Cin) Sqrt(C/Cin)

0.5 0 1 0 1

0.25 0.66032 -0.41503 0.8126008

0.5 0.398692 -0.91957 0.6314203

0.75 0.119474 -2.12465 0.3456507

1 0.030484 -3.49057 0.1745955

1 0 1 0 1

0.25 0.623463 -0.47247 0.7895966

0.5 0.132652 -2.02003 0.3642139

0.75 0.02622 -3.64123 0.1619261 0.012535 -4.37926 0.1119583

2 0 1 0 1

0.25 0.58748 -0.53191 0.7664723

0.5 0.228537 -1.47606 0.4780555

0.75 0.11514 -2.16161 0.3393227

1 0.074082 -2.60258 0.2721805

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

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-0.4

-0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4

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y = -0.992x + 0.9378

R = 0.9696

0.6 0.8 1 1.2

C/Cin, Q=0.5

C/Cin

Linear (C/Cin)

y = -1.0749x + 1

R = 0.9594

0.6 0.8 1 1.2

C/Cin, Q=0.5

C/Cin

Linear (C/Cin)

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

Sqrt(C/Cin

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

Sqrt(C/Cin

y = -1.0289x + 0.8734

R = 0.8673

0.6 0.8 1 1.2

C/Cin, Q=1

C/Cin

Linear (C/Cin)

0

0.2

0.4

0.6

0.8

1

1.2

Sqrt(C/Ci

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y = -1.1977x + 1

R = 0.8323

0.6 0.8 1 1.2

C/Cin, Q=1

C/Cin

Linear (C/Cin)

0 0.2 0.4 0.6 0.8

-0.2

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

Sqrt(C/Ci

y = -0.9297x + 0.8659

R = 0.8828

0.6 0.8 1 1.2

C/Cin, Q= 2

C/Cin

Linear (C/Cin)

y = -1.1085x + 1

R = 0.8338

0.6 0.8 1 1.2

C/Cin, Q= 2

C/Cin

Linear (C/Cin)

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

Sqrt(C/Ci

0

0.2

0.4

0.6

0.8

1

1.2

0 0.2 0.4 0.6 0.8

Sqrt(C/Ci

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-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

0 0.2 0.4 0.6 0.8 1 1.2

In(C/Cin), Q=0.5

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0 0.2 0.4 0.6 0.8 1 1.2

In(C/Cin), Q=0.5

y = -0.8471x + 1.0164

R = 0.9931

1 1.2

), Q=0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.8252x + 1

R = 0.9921

1 1.2

), Q=0.5

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.9615x + 0.9663

R = 0.9378

n), Q =1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-4

-3

-2

-1

0

1

0 0.2 0.4 0.6 0.8 1 1.

In(C/Cin), Q= 1

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1 1.2

y = -1.0064x + 1

R = 0.9347

1 1.2

), Q =1

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-5

-5

-4.5

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

0 0.2 0.4 0.6 0.8 1 1.

In(C/Cin), Q= 1

y = -0.7531x + 0.9478

R = 0.9482

1 1.2

n), Q=2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

y = -0.8228x + 1

R = 0.936

1 1.2

n), Q=2

Sqrt(C/Cin)

Linear (Sqrt(C/Cin))

-3

-2.5

-2

-1.5

-1

-0.5

0

0.5

0 0.2 0.4 0.6 0.8 1 1.

In(C/Cin),Q=2

-3

-2.5

-2

-1.5

-1

-0.5

0

0 0.2 0.4 0.6 0.8 1

In(C/Cin),Q=2

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y = -3.4763x + 0.3482

R = 0.9375

In(C/Cin)

Linear (In(C/Cin))

y = -3.0121x

R = 0.9125

In(C/Cin)

Linear (In(C/Cin))

y = -4.7709x + 0.2829

R = 0.972

In(C/Cin)

Linear (In(C/Cin))

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y = -4.3938x

R = 0.9629

In(C/Cin)

Linear (In(C/Cin))

y = -2.7339x + 0.0125

R = 0.9865

In(C/Cin)

Linear (In(C/Cin))

y = -2.7172x

R = 0.98651.2

In(C/Cin)

Linear (In(C/Cin))

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GAC Floating Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.7217 -0.9106 -0.4553

Zero Order with reaction limitation 1 0.7905 -0.9427 -0.9427

Zero Order with reaction limitation 2 0.9446 -0.9663 -1.9326

Zero order with diffusion limitation 0.5 0.8756 -0.9218 -0.4609

Zero order with diffusion limitation 1 0.9212 -0.922 -0.922

Zero order with diffusion limitation 2 0.9838 -0.7834 -1.5668

First order kinetics 0.5 0.9916 -5.6317 -2.81585

First order kinetics 1 0.9863 -5.0239 -5.0239

First order kinetics 2 0.9806 -2.8681 -5.7362

GAC Fixed Regression

Order of kinetics Q R2

grad k t

Zero Order with reaction limitation 0.5 0.5505 -1.2727 -0.63635 0.4

Zero Order with reaction limitation 1 0.6707 -1.2424 -1.2424 25Zero Order with reaction limitation 2 0.928 -1.0711 -2.1422 53

Zero order with diffusion limitation 0.5 0.8142 -1.1211 -0.56055

Zero order with diffusion limitation 1 0.8895 -1.0617 -1.0617

Zero order with diffusion limitation 2 0.9835 -0.7942 -1.5884

First order kinetics 0.5 0.9916 -5.6218 -2.8109

First order kinetics 1 0.985 -4.8713 -4.8713

First order kinetics 2 0.9717 -2.6452 -5.2904

Perlite2 Floating Regression

Order of kinetics Q R2

grad k

Zero Order with reaction limitation 0.5 0.9696 -0.992 -0.496Zero Order with reaction limitation 1 0.8673 -1.0289 -1.0289

Zero Order with reaction limitation 2 0.8828 -0.9297 -1.8594

Zero order with diffusion limitation 0.5 0.9931 -0.8471 -0.42355

Zero order with diffusion limitation 1 0.9378 -0.9615 -0.9615

Zero order with diffusion limitation 2 0.9482 -0.7531 -1.5062

First order kinetics 0.5 0.9375 -3.4763 -1.73815

First order kinetics 1 0.972 -4.7709 -4.7709

First order kinetics 2 0.9865 -2.7339 -5.4678

Perlite2 Fixed Regression

Order of kinetics Q R2

grad k t

Zero Order with reaction limitation 0.5 0.9594 -1.0749 -0.53745 0.4

Zero Order with reaction limitation 1 0.8323 -1.1977 -1.1977 25

Zero Order with reaction limitation 2 0.8338 -1.1085 -2.217 53

Zero order with diffusion limitation 0.5 0.9921 -0.8252 -0.4126

Zero order with diffusion limitation 1 0.9347 -1.0064 -1.0064

Zero order with diffusion limitation 2 0.936 -0.8228 -1.6456

First order kinetics 0.5 0.9125 -3.0121 -1.50605

First order kinetics 1 0.9629 -4.3938 -4.3938

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First order kinetics 2 0.9865 -2.7172 -5.4344

-4

-

Further work was done, plotting curves of predicted values ofIn(C/Ci) and the

actual values ofIn(C/Ci) from the raw data, with consideration of the various

bed heights from 0 to 100%, and Q ranging from 0.5, 1 and 2 L/m-3

.Spreadsheets GAC and Perlite2 represent the results obtained, when the

averages of the concentration at the inlet and various output levels were used,

which are tabulated in spreadsheet R2 Tables3.

In addition, spreadsheet GAC1 and Perlite1 represent the curves when the

averages of the concentration ratio were calculated to obtain the values used in

tabulating spreadsheet R2 Tables1.

For all cases, curves ofCpredictedagainst Cactual, when the trend line was fixed as

shown in the tables for first order kinetic models were achieved. The average of

k for both GAC and Perlite2 at all three values ofQ were taken, hence kavrg*h

was calculated to plot a graph ofkavrg*h against the average of the actual

values of concentration i.e. In(C/Ci) at each level of the bed height, h.

-6 -5

Cactual

-6

-5

-4

-3

-2

-1

0

0 10 20 30 40 50 60

k,

con

stant

t, hours

k vs time for GAC

k

k

k

-5

-4

-3

-2

-1

0

0 10 20 30 40 50 60

k

constant

k vs time for Perlite

k

k

k

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-5 -4 -3

CactualCpr

-4

-5

-6t, hours

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GAC Fixed Regression

Order of kinetics Q R2

grad k Q h

First order kinetics 0.5 0.9916 -5.6218 -2.8109 0.5 0

First order kinetics 1 0.985 -4.8713 -4.8713 0.25

First order kinetics 2 0.9717 -2.6452 -5.2904 0.5

kavrg -4.3242 0.75

1

1 0

0.25

0.5

0.75

1

2 0

0.25

0.5

0.75

1

Perlite2 Fixed Regression

Order of kinetics Q R2

grad k Q h

First order kinetics 0.5 0.9125 -3.0121 -1.50605 0.5 0

First order kinetics 1 0.9629 -4.3938 -4.3938 0.25

First order kinetics 2 0.9865 -2.7172 -5.4344 0.5

kavrg -3.77808 0.75

-3

-2.5

-2

-1.5

-1

-0.5

0

-6 -5 -4 -3 -2 -1 0

Cpredicted

CactualCpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpredicted)

-6

-5

-4

-3

-2

-1

0

-5 -4 -3 -2 -1 0

Cpredicted

CactualCpredicted vs Cactual , Q=1

Cpredicted

Linear (Cpredicted)

-3 -2.5

Cactual

Where

In(C/Ci

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1

1 0

0.25

0.5

0.75

1

2 0

0.250.5

0.75

1

GAC Floating Regression

Order of kinetics Q R2

grad k Q h

First order kinetics 0.5 0.9916 -5.6317 -2.81585 0.5 0

First order kinetics 1 0.9863 -5.0239 -5.0239 0.25

First order kinetics 2 0.9806 -2.8681 -5.7362 0.5

Kavrg -4.52532 0.751

1 0

0.25

0.5

0.75

1

2 0

0.25

-1.8

-1.6

-1.4

-1.2

-1

-0.8

-0.6

-0.4

-0.2

0

-3 -2 -1 0

Cpredicted

CactualCpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpredicted)

-5

-4

-3

-2

-1

0

-4 -3 -2 -1 0

Cpredicted

CactualCpredicted vs Cactual , Q=1

Cpredicted

Linear (Cpredicted)

-3 -2.5

Cactual

-1.5

-1

-0.5

0

-4 -3 -2 -1 0

Cpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpredicted)

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0.5

0.75

1

Perlite2 Floating Regression

Order of kinetics Q R2

grad k Q h

First order kinetics 0.5 0.9375 -3.4763 -1.73815 0.5 0

First order kinetics 1 0.972 -4.7709 -4.7709 0.25

First order kinetics 2 0.9865 -2.7339 -5.4678 0.5

kavrg -3.99228 0.75

1

1 0

0.25

0.5

0.75

1

2 0

0.25

0.5

0.75

1

-3

-2.5

-2

Cpredicted

-6

-5

-4

-3

-2

-1

0

-2 -1 0

Cpredicted

dicted vs Cactual , Q=1

Cpredicted

Linear (Cpredicted)

-3 -2.5 -2 -1.5 -1

CactualCpredicted vs Cac

-2

-1.5

-1

-0.5

0

-3 -2 -1 0

Cpredicted

actual

Cpredicted vs Cactual , Q=0.5

Cpredicted

Linear (Cpredicted)

-1

0

-4 -3 -2 -1 0

CactualCpredicted vs Cactual , Q=1

Cpredicted

-3 -2.5 -2

CactualCp

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-6

-5

-4

-3

-2

Cpredicted

Linear (Cpredicted)

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average of

actual predicted predicted actual

Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 1 1 0 0 0

-0.70273 -1.21444 0.296876 0.495234 -1.08105 -1.08105 -0.85185

-1.40545 -2.94227 0.052746 0.245257 -2.1621 -2.1621 -2.10808

-2.10818 -4.47672 0.011371 0.121459 -3.24315 -3.24315 -3.53429

-2.8109 -5.4085 0.004478 0.060151 -4.3242 -4.3242 -4.29366

0 0 1 1

-1.21783 -0.93558 0.392358 0.295873

-2.43565 -2.29978 0.100281 0.087541

-3.65348 -4.00856 0.01816 0.025901

-4.8713 -4.74341 0.008709 0.007663

0 0 1 1

-1.3226 -0.40553 0.666623 0.266442

-2.6452 -1.08218 0.338856 0.070991

-3.9678 -2.11758 0.120322 0.018915

-5.2904 -2.72908 0.065279 0.00504

average of

actual predicted predicted actual

Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 1 1 0 0 0

-0.37651 -0.41503 0.66032 0.686251 -0.94452 -0.94452 -0.47314

-0.75303 -0.91957 0.39869 0.47094 -1.88904 -1.88904 -1.47189

-1.12954 -2.12465 0.119475 0.323183 -2.83356 -2.83356 -2.6425

-6

-5

-4

-3

-2

-1

0

-2 -1.5 -1 -0.5 0

Cpredicted

Cpredicted vs Cactual , Q=2

CpredictedLinear (Cpredicted)

, Cpredicted is calculated values of In(C/Cin)= h x k; Cactual is

n)from raw data

-5 -4 -3

kaverage*h

k average for all

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73/79

-1.50605 -3.49057 0.030483 0.221784 -3.77808 -3.77808 -3.4908

0 0 1 1

-1.09845 -0.47247 0.62346 0.333387

-2.1969 -2.02003 0.132651 0.111147

-3.29535 -3.64123 0.02622 0.037055

-4.3938 -4.37926 0.012535 0.012354

0 0 1 1

-1.3586 -0.53191 0.587482 0.25702-2.7172 -1.47606 0.228536 0.066059

-4.0758 -2.16161 0.11514 0.016979

-5.4344 -2.60258 0.074082 0.004364

average of

actual predicted predicted actual

Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 1 1 0 0 0

-0.70396 -1.21444 0.296876 0.494621 -1.13133 -1.13133 -0.85185

-1.40793 -2.94227 0.052746 0.24465 -2.26266 -2.26266 -2.10808

-2.11189 -4.47672 0.011371 0.121009 -3.39399 -3.39399 -3.53429-2.81585 -5.4085 0.004478 0.059854 -4.52532 -4.52532 -4.29366

0 0 1 1

-1.25598 -0.93558 0.392358 0.284798

-2.51195 -2.29978 0.100281 0.08111

-3.76793 -4.00856 0.01816 0.0231

-5.0239 -4.74341 0.008709 0.006579

0 0 1 1

-1.43405 -0.40553 0.666623 0.238342

-6

-5

-4

-3

-2

-1

0

-2 -1.5 -1 -0.5 0

Cpredicted

Cpredicted vs Cactual , Q=2

Cpredicted

Linear (Cpredicted)

-4 -3

kavergare*h

C

k average for all Q

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-2.8681 -1.08218 0.338856 0.056807

-4.30215 -2.11758 0.120322 0.013539

-5.7362 -2.72908 0.065279 0.003227

average of

actual predicted predicted actual

Cpredicted Cactual C/Cin C/Cin kavrg*h Cpavrg Cacavrg

0 0 1 1 0 0 0

-0.43454 -0.41503 0.66032 0.647564 -0.99807 -0.99807 -0.47314

-0.86908 -0.91957 0.39869 0.419339 -1.99614 -1.99614 -1.47189

-1.30361 -2.12465 0.119475 0.271549 -2.99421 -2.99421 -2.6425

-1.73815 -3.49057 0.030483 0.175845 -3.99228 -3.99228 -3.4908

0 0 1 1

-1.19273 -0.47247 0.62346 0.303393

-2.38545 -2.02003 0.132651 0.092048

-3.57818 -3.64123 0.02622 0.027927

-4.7709 -4.37926 0.012535 0.008473

0 0 1 1

-1.36695 -0.53191 0.587482 0.254883

-2.7339 -1.47606 0.228536 0.064965

-4.10085 -2.16161 0.11514 0.016559

-5.4678 -2.60258 0.074082 0.004221

-7

-6

-5

-4

-3

-2

-1

0

-0.5 0

Cpredicted

tual , Q=2

Cpredicted

Linear (Cpredicted)

-5

-4.5

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

-5 -4 -3 -2 -1

kavergare*h

Cacavrg

k average for all Q at various h vs average of Cactu

-1

0

-1.5 -1 -0.5 0

redicted vs Cactual , Q=2

Cpredicted

-4 -3 -2

k average for all Q at various h

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-6

-5

-4

-3

-2

Cpredicted

Linear (Cpredicted)

kavergare*h

Cacavrg

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-5

-4.5

-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

-2 -1 0

Cacavrg

at various h vs average of Cactual at various h

kavrg*h

Linear (kavrg*h)

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-4

-3.5

-3

-2.5

-2

-1.5

-1

-0.5

0

-2 -1 0

cavrg

t various h vs average of Cactual at various h

kavrg*h

Linear (kavrg*h)

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78/79

0

al at various h

kavrg*h

Linear (kavrg*h)

-1

-0.5

0

-1 0

vs average of Cactual at various h

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79/79

-4.5

-4

-3.5

-3

-2.5

-2

-1.5

kavrg*h

Linear (kavrg*h)