T=

t
0
60
120
180
240
300

30 C
alfa
0
0.22
0.4
0.7
0.75
0.9

f(alfa)
0
0.07948
0.15657
0.33057
0.37004
0.53584

Pendiente= 0.001773749
T=
t
0
60
120
180
240

55 C
alfa
0
0.22
0.43
0.68
0.78

Pendiente=

0.001715273

T=
t
0
60
120
180
240
Pendiente=

f(alfa)
0
0.07948
0.17087
0.31601
0.39632

80 C
alfa
0
0.3
0.6
0.78
0.88

f(alfa)
0.0000
0.1121
0.2632
0.3963
0.5068

0.002162897

Fig. 3

0.6

0.5

0.4

0.3

0.2

0.1

f(x)f(x)
= 0.0021628968x
= 0.001773749x- -0.0038743777
0.0206459254
RR
= 0.997323724
= 0.9774370523
f(x) = 0.0017152731x - 0.0132972354
R = 0.9890194129

R = 0.9890194129
0.3

0.2

0.1

0
0

50

100

150
Tiempo, t(s)

200

250

300

350

30 C

Linear (30 C)

55 C

Linear (55 C)

80 C

Linear (80 C)

50

300

350

55 C

Linear (55 C)

80 C

Linear (80 C)

Temp (K)

lnk

(1/T)

1/T*1000

303
328
353

0.001774
0.001715
0.002163

-6.334660
-6.368183
-6.136307

0.003300
0.003049
0.002833

3.300330
3.048780
2.832861

pendiente: -409.09647
R=
8314
Eac 3401228.056
lnA= -5.02761248
A= 0.006554463

Chart Title

-6.000000
2.800000 2.900000 3.000000 3.100000 3.200000 3.300000 3.400000
-6.050000

lnk

-6.100000
-6.150000
Figura 4

-6.200000

f(x) = - 0.4090964705x - 5.0276124798

-6.250000
-6.300000
-6.350000
-6.400000
1/T(K)*1000

Linear (Figura 4)

-6.300000
-6.350000
-6.400000
1/T(K)*1000

00 3.400000

Figura 4
Linear (Figura 4)

T=
t
0
5000
14000
20000
26000

100 C
alfa
0
0.025
0.045
0.07
0.075

f(alfa)
0
0.0084038
0.0152308
0.0239000
0.0256524

0.08

Pendiente= 9.92881E-007
110 C
alfa
0
0.035
0.06
0.09
0.125

0.06

f(alfa)
0
0.0118055
0.0204139
0.0309479
0.0435344

T=
t
0
5000
12000
17000
22000

T=

0.05

f(x) = 1.88312
R = 0.98609

0.03

120 C
alfa
0
0.055
0.115
0.17
0.21

f(alfa)
0
0.0186801
0.0399045
0.0602204
0.0755665

T=

0.01
0
0

130 C
alfa
0
0.035
0.09
0.165

f(alfa)
0
0.0118055
0.0309479
0.0583370

Pendiente= 4.20207E-006

Temperatura ( K )

Ln k

1/T

1/T*1000

403
393
383
373

4.20207E-006
3.05918E-006
1.88312E-006
9.92881E-007

-12.37993
-12.69736
-13.18258
-13.82266

0.00248
0.00254
0.00261
0.00268

2.48139
2.54453
2.61097
2.68097

Pendiente= -7257.53340
R=
8314
Eac= -60339133
Interseccion(LnA)=
5.69990

f(x) = 9.92880
R = 0.96742

0.02

Pendiente= 3.05918E-006

t
0
3000
7000
14000

f(x) = 4.20206
R = 0.99834

0.04

Pendiente= 1.88312E-006

t
0
6000
13000
19000
25000

f(x) = 3.05918
R = 0.99870

0.07

5000

A= 298.78699224

Fig. 3

0.08
f(x) = 3.05918289650199E-006x + 0.0003285848
R = 0.9987075426

0.07

100 C
Linear (100 C)

f(x) = 4.20206982438271E-006x + 6.01837945635696E-005

0.05

110 C
Linear (110 C)

0.04

f(x) = 1.88312094509023E-006x + 0.0002493813

120 C

0.03

Linear (120 C)

f(x) = 9.92880827719698E-007x + 0.0017299433

0.02

130 C
Linear (130 C)

0.01
0
0

5000

10000

15000

20000

25000

30000

Tiempo, t(s)

Chart Title

-11.50000
2.45000

2.50000

2.55000

2.60000

2.65000

2.70000

-12.00000

Lnk

0.06

-12.50000

f(x) = - 7.257533402x + 5.6999025058

-11.50000
2.45000

2.50000

2.55000

2.60000

2.65000

2.70000

Lnk

-12.00000

-12.50000

f(x) = - 7.257533402x + 5.6999025058

-13.00000

-13.50000

-14.00000
1/T*1000

100 C
Linear (100 C)
110 C
Linear (110 C)
120 C
Linear (120 C)
130 C
Linear (130 C)

fig 6

fig 6
Linear (fig 6)

k O3

30
40
50
60
70
80
90
100
110
120
130
140
150
160
170
180
190
200

0.0000000078389722
0.0000002370438102
0.0000018330331439
0.0000071680019812
0.0000189853222503
0.0000394169362909
0.0000695735955701
0.0001096108926674
0.0001589902115071
0.0002167542462515
0.0002817458809367
0.0003527585447641
0.0004286289630959
0.0005082881542336
0.0005907846884312
0.0006752907174495
0.0007610980108003
0.0008476087143941

C.C
Desviacin estandar
% error:

0.9578936904
69.1735740402
8.53066973182192E-005

0.0009000000000000
f(x) = - 1.0199851553686E-012x^4 + 3.77596221874063E-010x^3 - 9.11251568417461E-009x^2 - 1.06637273824914E-006x + 3.3845867500664E-005
0.0008000000000000
R = 0.9999413707

KO3

0.0007000000000000

0.0006000000000000
Column C
Polynomial (Column C)

0.0005000000000000

0.0004000000000000

0.0003000000000000

Polynomial (Column C)

0.0005000000000000

0.0004000000000000

0.0003000000000000

0.0002000000000000

0.0001000000000000

0.0000000000000000
20 40 60 80 100 120 140 160 180 200 220

7273824914E-006x + 3.3845867500664E-005

Modelo Cintico de la Ozonizacin de la Pirita

0.0065545 * exp(- 3401228 /RT)* t

R=
8314
T: temperatura (K)
t:
tiempo (s)

J/kmol K

T=
t (s)
0
60
120
180
240
300
Pendiente:

30
alfa
0
0.22
0.4
0.7
0.75
0.9

55
alfa
0
0.22
0.43
0.68
0.78

303
f(alfa) simulado
0
0.10194
0.20387
0.30581
0.40774
0.50968

C
f(alfa)
0
0.079484
0.170866
0.316010
0.396319

o
Ksimulado
0.0018830651
0.0018830651
0.0018830651
0.0018830651
0.0018830651

328
f(alfa) simulado
0
0.1129839086
0.2259678171
0.3389517257
0.4519356342

C
f(alfa)
0
0.112096
0.263194
0.396319
0.506758

o
Ksimulado
0.0020569672
0.0020569672
0.0020569672
0.0020569672
0.0020569672

353
f(alfa) simulado
0
0.1234180322
0.2468360645
0.3702540967
0.4936721289

0.001715273

T=
t
0
60
120
180
240
Pendiente:

o
Ksimulado
0.0016989201
0.0016989201
0.0016989201
0.0016989201
0.0016989201
0.0016989201

0.001773749

T=
t
0
60
120
180
240
Pendiente:

C
f(alfa)
0
0.079484
0.156567
0.330567
0.370039
0.535841

80
alfa
0
0.3
0.6
0.78
0.88
0.002162897

Fig. 3

0.9

0.8

lfa

0.7

0.9

0.8

alfa

0.7

0.6

0.5

0.4

0.3

0.2

0.1

0
0

50

100

150
Tiempo,
t(s)

200

250

K
alfa simulado
0
0.27569
0.49540
0.66546
0.79225
0.88212

K
alfa simulado
0
0.3020979156
0.5362573336
0.7111319382
0.8353754133

K
alfa simulado
0
0.3264379694
0.5727633035
0.7502554309
0.8701937804

Fig. 3

30 C

55 C

mpo, t(s)

30 C

55 C

80 C

Column
G

55C
simulado

80C
simulado

200

250

300

350

T (C)=
t (s)
0
60
120
180
240

30
Ksimulado
0.0016989201
0.0016989201
0.0016989201
0.0016989201
0.0016989201

303
f(alfa) simulado
0
0.10194
0.20387
0.30581
0.40774

K
alfa simulado
0
0.27569
0.49540
0.66546
0.79225

T (C)=
t (s)
0
60
120
180
240

40
Ksimulado
0.0017738081
0.0017738081
0.0017738081
0.0017738081
0.0017738081

313
f(alfa) simulado
0
0.10643
0.21286
0.31929
0.42571

K
alfa simulado
0
0.28651
0.51229
0.68458
0.81060

T (C)=
t (s)
0
60
120
180
240

50
Ksimulado
0.0018470571
0.0018470571
0.0018470571
0.0018470571
0.0018470571

323
f(alfa) simulado
0
0.11082
0.22165
0.33247
0.44329

K
alfa simulado
0
0.29699
0.52845
0.70255
0.82746

T (C)=
t (s)
0
60
120
180
240

60
Ksimulado
0.0019186624
0.0019186624
0.0019186624
0.0019186624
0.0019186624

333
f(alfa) simulado
0
0.11512
0.23024
0.34536
0.46048

K
alfa simulado
0
0.30713
0.54389
0.71945
0.84295

T (C)=
t (s)
0
60
120
180
240

70
Ksimulado
0.0019886283
0.0019886283
0.0019886283
0.0019886283
0.0019886283

343
f(alfa) simulado
0
0.11932
0.23864
0.35795
0.47727

K
alfa simulado
0
0.31694
0.55866
0.73533
0.85717

T (C)=
t (s)
0
60
120
180
240

80
Ksimulado
0.0020569672
0.0020569672
0.0020569672
0.0020569672
0.0020569672

353
f(alfa) simulado
0
0.12342
0.24684
0.37025
0.49367

K
alfa simulado
0
0.32644
0.57276
0.75026
0.87019

90
Ksimulado
0.0021236975
0.0021236975
0.0021236975
0.0021236975
0.0021236975

363
f(alfa) simulado
0
0.12742
0.25484
0.38227
0.50969

K
alfa simulado
0
0.33563
0.58625
0.76428
0.88213

T (C)=
t (s)
0
60
120
180
240

100
Ksimulado
0.0021888424
0.0021888424
0.0021888424
0.0021888424
0.0021888424

373
f(alfa) simulado
0
0.13133
0.26266
0.39399
0.52532

K
alfa simulado
0
0.34451
0.59913
0.77745
0.89305

T (C)=
t (s)
0
60
120
180
240

110
Ksimulado
0.002252429
0.002252429
0.002252429
0.002252429
0.002252429

383
f(alfa) simulado
0
0.13515
0.27029
0.40544
0.54058

K
alfa simulado
0
0.35311
0.61145
0.78982
0.90303

T (C)=
t (s)
0
60
120
180
240

120
Ksimulado
0.0023144874
0.0023144874
0.0023144874
0.0023144874
0.0023144874

393
f(alfa) simulado
0
0.13887
0.27774
0.41661
0.55548

K
alfa simulado
0
0.36143
0.62322
0.80144
0.91216

T (C)=
t (s)
0
60
120
180
240

130
Ksimulado
0.0023750499
0.0023750499
0.0023750499
0.0023750499
0.0023750499

403
f(alfa) simulado
0
0.14250
0.28501
0.42751
0.57001

K
alfa simulado
0
0.36948
0.63448
0.81237
0.92050

T (C)=
t (s)
0
60
120
180
240

140
Ksimulado
0.0024341505
0.0024341505
0.0024341505
0.0024341505
0.0024341505

413
f(alfa) simulado
0
0.14605
0.29210
0.43815
0.58420

K
alfa simulado
0
0.37727
0.64525
0.82264
0.92811

alfa

T (C)=
t (s)
0
60
120
180
240

T (C)=
t (s)
0
60
120
180
240

150
Ksimulado
0.0024918242
0.0024918242
0.0024918242
0.0024918242
0.0024918242

423
f(alfa) simulado
0
0.14951
0.29902
0.44853
0.59804

K
alfa simulado
0
0.38481
0.65556
0.83229
0.93505

T (C)=
t (s)
0
60
120
180
240

160
Ksimulado
0.0025481068
0.0025481068
0.0025481068
0.0025481068
0.0025481068

433
f(alfa) simulado
0
0.15289
0.30577
0.45866
0.61155

K
alfa simulado
0
0.39211
0.66542
0.84136
0.94138

T (C)=
t (s)
0
60
120
180
240

170
Ksimulado
0.0026030344
0.0026030344
0.0026030344
0.0026030344
0.0026030344

443
f(alfa) simulado
0
0.15618
0.31236
0.46855
0.62473

K
alfa simulado
0
0.39918
0.67486
0.84989
0.94715

T (C)=
t (s)
0
60
120
180
240

180
Ksimulado
0.0026566434
0.0026566434
0.0026566434
0.0026566434
0.0026566434

453
f(alfa) simulado
0
0.15940
0.31880
0.47820
0.63759

K
alfa simulado
0
0.40602
0.68390
0.85792
0.95240

T (C)=
t (s)
0
60
120
180
240

190
Ksimulado
0.00270897
0.00270897
0.00270897
0.00270897
0.00270897

463
f(alfa) simulado
0
0.16254
0.32508
0.48761
0.65015

K
alfa simulado
0
0.41265
0.69256
0.86548
0.95718

T (C)=
t (s)
0
60
120
180
240

200
Ksimulado
0.00276005
0.00276005
0.00276005
0.00276005
0.00276005

473
f(alfa) simulado
0
0.16560
0.33121
0.49681
0.66241

K
alfa simulado
0
0.41908
0.70086
0.87259
0.96153

SIMULACION del MODELO CINETICO de la OZO

SIMULACION del MODELO CINETICO de la OZO

0.9

0.8

alfa

0.7

0.6

0.5

0.4

0.3

0.4

0.3

0.2

0.1

0
0

50

100

Tiempo, t(s)

150

ODELO CINETICO de la OZONIZACIN de la PIRITA

ODELO CINETICO de la OZONIZACIN de la PIRITA

303
K
313
K
323
K
333
K
343
K
353
K
363
K
373
K
383
K
393
K
403
K
413
K
423
K

iempo, t(s)

150

200

250

300

303
K
313
K
323
K
333
K
343
K
353
K
363
K
373
K
383
K
393
K
403
K
413
K
423
K