4121389272265

1*

23

1

2

3

25313881651389

R2

Sharma et al., 1990; Jain and Ram,1997;

Ho and McKay, 1998; Jain and Sharma, 2001; Sharma,

2003; Sharma et al., 2007

Bencala, 1983; Runkel, 1998; Jonsson and Worman, 2001; Jonsson et al., 2004; Wu et al., 2005; Roshanfekr

et al., 2008

*almazdeh@yahoo.com

Ho

and McKay, 1999; Ho, 2006Sobkowsk and Czerwinski

1974

Ritchie1977

19844NH

Blanchard et al., 1984

A

Biskup and

Subotic, 2004Ho1995

Hob2006

1Sobkowsk and Czerwinski

2664121389

1974Ritchie1977Blanchard et al.1984Ho

1995

Kinniburgh, 1986; Ho, 2004Ho

a2006

Jiang et al.2007

Waste yeast

Ho

1Ho 2006 a, b

kt1

Sobkowsk and Czerwinski (1974)

qt 1

q q

Ritchie (1977)

B

0

1Kt

n n

Blanchard et al. (1984)

2

2 e e

t 1 1t

q k q q

Ho (1995)

θ : درصد سايتهاي اشغال شده توسط ماده جذب شونده

n0 ،qe ،q∞ : مقدار ماده جذب شده در تي نهايت يا در حالت تعادل

n و q : مقدار ماده جذب شده در سمانt

α ،Bα : ته تزتية ثاتت نزخ در معادله ريچي و تالنچارد

k ،k2 ،K : ته تزتية ثاتت نزخ در معادله ساتکوسک و سزوينسکي، هو و تالنچارد

Mahdavi et al.

20082009

Sobkowsk and Czerwinski1974Ritchie1977

Blanchard et al.1984Ho1995

Hoa)2006() 1

201

Mahdavi et al., 2008 and 2009

6120150

m2×m2

meq/lit3NaHCO3

HNO3NaOH

pH

NaCl

EC

R=0.7 m

1

ppm300026810

3CdSO4, 8H2O1500

ICP-OES

Varian VISTA-MPX

10

267

130

130

m/s240W300oC29pHEC

NaOHNaCl48

s/cm600

600mm50250

t=0

10(C C)Vq

W

20

0

(C C)% Sorption 100

C

q

tC0Ct=0t=tµgr/lit

V130W

156288692996

10942022

peat

Ho, 1995; Ho and McKay, 1998, 1999

and 2000

32

2 e

2 e

k q tq

1 k q t

k2g/mg minqe

mg/gHo

1995

42

e2 e

t 1 t

q qk q

Sobkowsk and Czerwinski

1=q/qeθ،

5e

qkt

q q

kqe:

6ekq tq

1 kt

2 ek k q63

Ritchie

eq q

7e

e

qt 1

q q

8eq tq

1 t

83

2 ek q 83

Blanchard0 en q

B

e

1

q Bα qe

9e e

1 1Kt

q q q

102

e

e

Kq tq

1 Kq t

3K=k2

103

y=Ax+B

AB

y

AB

q

Draper and Smith, 1998

2684121389

MATLAB

2

Ritchie

SobkowskBlanchardqe

qe

3

R2

R2

R2

y=A+Bx

11

2

2

2 2

(x x)(y y)R

(x x) (y y)

q

3

12n

2

i,meas i,cal

i 1

SSE (q q )

qi,calqi,meas

R2

SSE

3

BlanchardSobkowskRitchie980R2>SSE

Ho

23

FM62

3

2R2

SSE

23

34 R2

2

Ho 2

2 e e

t 1 t

q k q q

t

qt

22

2 e e

1 1 1 1( )

q k q t q

1

q

1

t

Ritchiee2 e

e

qk q t 1

q q

e

e

q

q qt

Sobkowsk2 e

e

qk q t

q q

e

q

q q t

Blanchard2

e e

1 1k t

q q q

e

1

q qt

3e

2 e

1 qq q ( )

k q t q

q

t

42

2 e 2 e

qk q k q q

t

q

tq

k2qe

13linear non linear

non linear

(P P )Error(%) 100

P

PlinearPnon linear

qek2

4

k2Sobkowsk RitchieBlanchard

2071

k2qeHob2006

qe

qe

14e 0 e

600C C q

130

Ce

CeFM5

269

3q

FM2پارامتز روش (ppb692 )

FM3

(ppb1094 )FM4

(ppb2022 )FM5

(ppb156 )FM6

(ppb288 )FM9

(ppb996 )

غيز خطي

K2 0000612/0 000035/0 0000337/0 000128/0 000101/0 0000332/0 qe 7/119 4/195 4/275 3/35 6/54 7/185 R2

951/0 9862/0 9885/0 9973/0 9959/0 9928/0 SSE 9/451 9/320 7/685 5/1 2/6 2/122

( Ho )1نوع

K2 000209/0 0000867/0 0000619/0 00029/0 000222/0 0000626/0 qe 6/85 8/149 4/203 6/26 3/42 2/150 R2

862/0 88/0 916/0 8485/0 8855/0 8838/0 SSE 8/905 6/928 9/1550 3/8 2/29 2/264

2نوع

K2 010539/0 003966/0 002695/0 02498/0 002991/0 008659/0 qe 5/33 0/50 7/78 4/5 4/16 0/28 R2

834/0 744/0 675/0 6215/0 9836/0 2883/0 SSE 9/7217 9/20530 8/56013 7/660 4/871 7/23285

Ritchie

K2 0000622/0 0000353/0 0000335/0 000128/0 000101/0 0000333/0 qe 7/119 195/4 4/275 3/35 6/54 7/185 R2

987/0 996/0 9846/0 9989/0 9978/0 9970/0 SSE 7/454 1/322 3/689 5/1 2/6 7/122

Sobkowsk

K2 0000622/0 0000353/0 0000335/0 000128/0 000101/0 0000333/0 qe 7/119 195/4 4/275 3/35 6/54 7/185 R2

987/0 996/0 9846/0 9989/0 9978/0 9970/0 SSE 7/454 1/322 3/689 5/1 2/6 7/122

Blanchard

K2 0000622/0 0000353/0 0000335/0 000128/0 000101/0 0000333/0 qe 7/119 195/4 4/275 3/35 6/54 7/185 R2

988/0 996/0 9854/0 9990/0 9979/0 9971/0 SSE 7/454 1/322 3/689 5/1 2/6 7/122

3نوع

K2 005074/0 00126/0 000843/0 004755/0 000996/0 002567/0 qe 6/45 5/77 9/124 5/11 25/9 3/58 R2

352/0 3637/0 3474/0 2939/0 5957/0 1826/0 SSE 1/4519 1/9035 6/22289 1/195 2/248 9/8291

4نوع

K2 001323/0 000326/0 000208/0 000836/0 000456/0 000272/0 qe 6/61 7/108 6/175 2/19 7/33 6/100 R2

352/0 3637/0 3474/0 2939/0 5957/0 1826/0 SSE 6/3168 7/3990 9/8213 6/43 9/93 5/2055

2FM6

2704121389

0 50 100 150 200 2500

5

10

15

20

25

30

35

Time (min)

q (

mic

ro g

r/gr)

Experimental

Type 2

Type 3

Type 4

0 50 100 150 200 2500

5

10

15

20

25

30

35

Time (min)

q (

mic

ro g

r/gr)

Experimental

Non Linear

Type 1 (Ho)

Ritchie

Blanchard

SobKow sk and Czerw inski

3FM6

4k2qe

FM2 FM3 FM4FM5FM6FM9

k2 000061200000350000033700001280000101000003320

qe7119419542753356547185

1Hok2(%) 1242714768361267119788

qe(%)528323215624622119

2k2(%) 6171283112307789311940012855226006

qe(%)072474471684969984

Ritchiek2(%) 718080302050

Sobkowskk2(%) 718080302050

Blanchardk2(%) 718080302050

3k2(%) 78194734999240083611188487637

qe(%)961460654667552668

4k2(%) 6206278329517455283505719

qe(%)548444236845338845

3

Sobkowsk RitchieBlanchardR2

SSE

3

SSE

R2

Sobkowsk and Czerwinski1974

Ritchie1977Blanchard et al.1984Ho1995

Ritchie

Sobkowsk,Blanchard

(ب (الف

271

R2

SSE

C

C0

K

k

k2

nt

N

n0

Plinearqek2

Pnon linearqek2

ppb

qt

q∞

qe

qi,cal

qi,meas

SSE

t

V

W

α

Bα

θ

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