anexo 1

35
Anexo 1… Sistema 1 t A t In A t 0 1.9001 0.6419065 2 1 1.8599 0.6205227 2 2 1.8199 0.5987815 5 3 1.777 0.5749265 5 4 1.7466 0.5576710 4 5 1.7179 0.5411026 1 6 1.6963 0.5284494 1 7 1.6832 0.5206967 4 8 1.668 0.5116253 9 1.6534 0.5028337 7 10 1.637 0.4928653 11 1.6208 0.4829198 5 12 1.6034 0.4721263 7 13 1.5887 0.4629160 7 14 1.5745 0.4539377 6 15 1.5588 0.4439162 9 16 1.5476 0.4367053 4 17 1.533 0.4272266 18 1.5206 0.4191049 9 19 1.5087 0.4112483 5 20 1.4952 0.4022599 8 21 1.4839 0.3946737 6 22 1.4714 0.3862143 3 23 1.4576 0.3767912 5 24 1.447 0.3694924 5 25 1.434 0.3604677 4 26 1.4226 0.3524861 8 27 1.4102 0.3437315 4 28 1.3966 0.3340407 1 29 1.386 0.3264219 30 1.3745 0.3180900 3 31 1.3633 0.3099082 3 32 1.3512 0.3009930 9 33 1.3406 0.2931172 7 34 1.329 0.2844267 8 35 1.3188 0.2767222 3 36 1.3068 0.2675814 37 1.296 0.2592826 38 1.2856 0.2512255 4 39 1.2744 0.2424754 8 40 1.2635 0.2338856 5 41 1.254 0.2263384 4 42 1.2438 0.2181712 1 43 1.2338 0.2100988 4 44 1.223 0.2013068 6 45 1.2128 0.1929317 4 46 1.2034 0.1851508 8 47 1.1935 0.1768901 7 48 1.1837 0.1686451 3 49 1.1742 0.1605870 6 50 1.1656 0.1532359 8 51 1.1559 0.1448792 6 52 1.1467 0.1368882 5

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Anexo 1

Sistema 1

t

At

In At

0

1.9001

0.64190652

1

1.8599

0.62052272

2

1.8199

0.59878155

3

1.777

0.57492655

4

1.7466

0.55767104

5

1.7179

0.54110261

6

1.6963

0.52844941

7

1.6832

0.52069674

8

1.668

0.5116253

9

1.6534

0.50283377

10

1.637

0.4928653

11

1.6208

0.48291985

12

1.6034

0.47212637

13

1.5887

0.46291607

14

1.5745

0.45393776

15

1.5588

0.44391629

16

1.5476

0.43670534

17

1.533

0.4272266

18

1.5206

0.41910499

19

1.5087

0.41124835

20

1.4952

0.40225998

21

1.4839

0.39467376

22

1.4714

0.38621433

23

1.4576

0.37679125

24

1.447

0.36949245

25

1.434

0.36046774

26

1.4226

0.35248618

27

1.4102

0.34373154

28

1.3966

0.33404071

29

1.386

0.3264219

30

1.3745

0.31809003

31

1.3633

0.30990823

32

1.3512

0.30099309

33

1.3406

0.29311727

34

1.329

0.28442678

35

1.3188

0.27672223

36

1.3068

0.2675814

37

1.296

0.2592826

38

1.2856

0.25122554

39

1.2744

0.24247548

40

1.2635

0.23388565

41

1.254

0.22633844

42

1.2438

0.21817121

43

1.2338

0.21009884

44

1.223

0.20130686

45

1.2128

0.19293174

46

1.2034

0.18515088

47

1.1935

0.17689017

48

1.1837

0.16864513

49

1.1742

0.16058706

50

1.1656

0.15323598

51

1.1559

0.14487926

52

1.1467

0.13688825

53

1.1373

0.12865703

54

1.1279

0.1203575

55

1.1187

0.1121673

56

1.1091

0.10354888

57

1.1008

0.09603719

58

1.0922

0.08819401

59

1.0825

0.07927318

60

1.0741

0.0714831

61

1.0653

0.06325645

62

1.056

0.05448819

63

1.0483

0.0471698

64

1.0414

0.04056596

65

1.0314

0.0309171

66

1.0228

0.02254396

67

1.0144

0.0142973

68

1.0068

0.00677698

69

0.9983

-0.00170145

70

0.9907

-0.00934352

71

0.9835

-0.01663764

72

0.9755

-0.02480512

73

0.968

-0.03252319

74

0.9607

-0.04009309

75

0.9535

-0.04761585

76

0.9459

-0.05561842

77

0.9381

-0.06389873

78

0.9314

-0.07106645

79

0.9237

-0.07936794

80

0.9169

-0.08675686

81

0.9092

-0.09519019

82

0.9019

-0.10325163

83

0.8948

-0.11115505

84

0.8876

-0.11923409

85

0.8802

-0.12760612

86

0.8732

-0.13559065

87

0.8658

-0.14410134

88

0.8589

-0.15210278

89

0.8517

-0.16052093

90

0.845

-0.16841865

91

0.8384

-0.17625997

92

0.8319

-0.18404304

93

0.8251

-0.19225069

94

0.8191

-0.1995491

95

0.8125

-0.20763936

96

0.8063

-0.2152994

97

0.7998

-0.22339358

98

0.7935

-0.23130174

99

0.7876

-0.23876493

100

0.7815

-0.24654013

101

0.7753

-0.25450523

102

0.7693

-0.26227427

103

0.7634

-0.26997314

104

0.7574

-0.27786376

105

0.7516

-0.28555101

106

0.7458

-0.29329781

107

0.74

-0.30110509

108

0.7341

-0.30911002

109

0.7286

-0.31663039

110

0.7229

-0.32448438

111

0.7174

-0.33212171

112

0.7118

-0.33995831

113

0.7061

-0.34799841

114

0.7006

-0.35581817

115

0.6953

-0.36341187

116

0.6897

-0.37149856

117

0.6846

-0.37892055

118

0.6793

-0.38669242

119

0.6742

-0.39422848

120

0.6691

-0.40182175

121

0.6637

-0.40992504

122

0.6588

-0.41733528

123

0.6538

-0.42495378

124

0.6489

-0.43247666

125

0.6442

-0.43974604

126

0.6393

-0.44738145

127

0.6346

-0.4547604

128

0.6299

-0.4621942

129

0.6252

-0.46968368

130

0.6205

-0.47722967

131

0.6162

-0.48418369

132

0.6117

-0.49151331

133

0.6074

-0.49856773

134

0.603

-0.50583808

135

0.5983

-0.51366298

136

0.594

-0.52087596

137

0.5896

-0.52831094

138

0.5852

-0.53580161

139

0.5813

-0.5424883

140

0.5769

-0.55008634

141

0.5728

-0.55721866

142

0.5685

-0.56475397

143

0.5643

-0.57216925

144

0.5604

-0.57910446

145

0.556

-0.58698698

146

0.552

-0.59420723

147

0.5481

-0.60129753

148

0.5439

-0.60898987

149

0.5398

-0.61655658

150

0.5359

-0.6238077

151

0.5319

-0.63129978

152

0.528

-0.638659

153

0.524

-0.64626359

154

0.5201

-0.65373418

155

0.5165

-0.66067999

156

0.5128

-0.66786937

157

0.5088

-0.67570027

158

0.5051

-0.68299885

159

0.5013

-0.69055055

160

0.4976

-0.69795874

161

0.4938

-0.7056247

162

0.4901

-0.71314583

163

0.4867

-0.72010736

164

0.4829

-0.72794569

165

0.4794

-0.73521996

166

0.4758

-0.74275768

167

0.4723

-0.7501409

168

0.4688

-0.75757904

169

0.4655

-0.76464318

170

0.4623

-0.77154125

171

0.459

-0.77870507

172

0.4556

-0.78614005

173

0.4521

-0.79385188

174

0.4491

-0.8005097

175

0.4459

-0.80766057

176

0.4427

-0.81486294

177

0.4397

-0.8216626

178

0.4365

-0.8289669

179

0.4333

-0.83632495

180

0.4302

-0.84350506

181

0.4274

-0.85003494

182

0.4241

-0.857786

183

0.421

-0.86512245

184

0.4181

-0.87203464

185

0.415

-0.87947676

186

0.4121

-0.88648924

187

0.4092

-0.89355124

188

0.4063

-0.90066348

189

0.4034

-0.90782665

190

0.4005

-0.91504151

191

0.3977

-0.92205733

192

0.3948

-0.92937597

193

0.392

-0.93649344

194

0.3892

-0.94366193

195

0.3865

-0.95062341

196

0.3837

-0.95789428

197

0.3811

-0.96469347

198

0.3784

-0.97180344

199

0.3759

-0.97843213

200

0.3734

-0.98510505

201

0.3707

-0.99236217

202

0.3683

-0.99885746

203

0.3657

-1.00594195

204

0.3634

-1.01225112

205

0.3607

-1.01970869

206

0.3584

-1.0261056

207

0.356

-1.03282455

208

0.3535

-1.03987179

209

0.3512

-1.04639942

210

0.3488

-1.05325659

211

0.3463

-1.06044983

212

0.3439

-1.06740436

213

0.3417

-1.07382212

214

0.3394

-1.08057593

215

0.3369

-1.08796913

216

0.3347

-1.09452067

217

0.3325

-1.10111542

218

0.3302

-1.10805675

219

0.3281

-1.11443684

220

0.3259

-1.12116469

221

0.3237

-1.12793812

222

0.3217

-1.13413584

223

0.3197

-1.14037222

224

0.3177

-1.14664774

225

0.3157

-1.15296288

226

0.3137

-1.15931816

227

0.3118

-1.16539332

228

0.3101

-1.17086045

229

0.3081

-1.17733087

230

0.3064

-1.18286384

231

0.3044

-1.18941265

232

0.3024

-1.19600463

233

0.3004

-1.20264036

234

0.2985

-1.20898535

235

0.2965

-1.21570806

236

0.2948

-1.22145812

237

0.293

-1.22758267

238

0.2911

-1.23408843

239

0.2893

-1.24029107

240

0.2875

-1.24653242

241

0.2855

-1.25351325

242

0.2837

-1.25983794

243

0.282

-1.26584821

244

0.2804

-1.27153812

245

0.2784

-1.27869635

246

0.2769

-1.28409885

247

0.2749

-1.29134788

248

0.2733

-1.29718519

249

0.2716

-1.30342488

250

0.2699

-1.30970376

251

0.2683

-1.31564952

252

0.2666

-1.32200587

253

0.2648

-1.32878045

254

0.2632

-1.33484108

255

0.2616

-1.34093866

256

0.2599

-1.34745834

257

0.2584

-1.35324651

258

0.257

-1.35867919

259

0.2552

-1.36570773

260

0.2538

-1.37120872

261

0.252

-1.37832619

262

0.2522

-1.37753286

263

0.249

-1.39030238

264

0.2476

-1.39594074

265

0.246

-1.40242374

266

0.2445

-1.40853997

267

0.243

-1.41469384

268

0.2416

-1.42047181

269

0.24

-1.42711636

270

0.2385

-1.43338597

271

0.2371

-1.43927329

272

0.2356

-1.44561983

273

0.234

-1.45243416

274

0.2328

-1.45757556

275

0.2311

-1.46490476

276

0.2296

-1.47141661

277

0.2284

-1.4766568

278

0.2271

-1.48236483

279

0.2256

-1.48899176

280

0.2242

-1.49521677

281

0.2228

-1.50148077

282

0.2214

-1.50778426

283

0.2201

-1.51367329

284

0.2188

-1.51959721

285

0.2173

-1.52647639

286

0.2159

-1.53293994

287

0.2148

-1.53804792

288

0.2135

-1.54411845

289

0.2122

-1.55022605

290

0.2109

-1.55637119

291

0.2097

-1.56207734

292

0.2084

-1.56829597

293

0.207

-1.57503649

294

0.2057

-1.58133648

295

0.2045

-1.5871873

296

0.2034

-1.5925808

297

0.202

-1.59948758

298

0.2008

-1.60544589

299

0.1996

-1.61143992

300

0.1985

-1.61696618

Para obtener la Kap se hace una grafica de t contra At, siendo -Kap=pendiente de esta recta.

La ecuacin de la recta es . Entonces tenemos Kap= 0.0073

Se obtiene una lnea recta por lo que la reaccin es de orden 1.

Sistema 2.

t

At

In At

0

2.0164

0.70131374

1

1.9843

0.68526621

2

1.9641

0.67503413

3

1.9497

0.66767551

4

1.9357

0.66046902

5

1.9265

0.65570489

6

1.9088

0.64647477

7

1.9001

0.64190652

8

1.8918

0.63752876

9

1.8755

0.62887529

10

1.8638

0.62261741

11

1.8523

0.61642811

12

1.8412

0.61041753

13

1.8268

0.6025658

14

1.8165

0.59691157

15

1.8097

0.59316109

16

1.7994

0.58745328

17

1.7866

0.58031437

18

1.777

0.57492655

19

1.7646

0.56792404

20

1.7526

0.5611004

21

1.7437

0.55600929

22

1.735

0.55100741

23

1.7236

0.54441513

24

1.7125

0.53795429

25

1.7017

0.53162775

26

1.6884

0.52378133

27

1.6805

0.51909137

28

1.6704

0.51306312

29

1.6606

0.50717898

30

1.651

0.50138116

31

1.6393

0.49426932

32

1.6322

0.4899288

33

1.6208

0.48291985

34

1.6121

0.47753768

35

1.6013

0.4708158

36

1.5928

0.46549347

37

1.5846

0.46033201

38

1.5765

0.4552072

39

1.5646

0.4476302

40

1.5551

0.44153985

41

1.5476

0.43670534

42

1.5383

0.43067791

43

1.5276

0.42369788

44

1.5189

0.41798639

45

1.5104

0.41237452

46

1.5018

0.40666439

47

1.4937

0.40125626

48

1.4839

0.39467376

49

1.4745

0.38831895

50

1.4681

0.38396905

51

1.4576

0.37679125

52

1.4501

0.37163252

53

1.4412

0.3654761

54

1.4325

0.35942117

55

1.424

0.35346981

56

1.4155

0.34748283

57

1.4073

0.34167298

58

1.3993

0.33597211

59

1.3914

0.33031043

60

1.3835

0.32461652

61

1.3745

0.31809003

62

1.3657

0.31166712

63

1.3584

0.30630754

64

1.35

0.30010459

65

1.3429

0.29483145

66

1.3347

0.28870655

67

1.3278

0.28352344

68

1.3198

0.27748021

69

1.311

0.2707902

70

1.3046

0.26589648

71

1.2971

0.260131

72

1.2887

0.25363396

73

1.2815

0.24803127

74

1.2744

0.24247548

75

1.2665

0.23625719

76

1.2607

0.23166712

77

1.2532

0.22570028

78

1.2456

0.21961734

79

1.2383

0.21373947

80

1.2319

0.20855769

81

1.2247

0.20269592

82

1.2179

0.19712806

83

1.2102

0.19078564

84

1.2041

0.1857324

85

1.1967

0.17956777

86

1.1901

0.17403734

87

1.1837

0.16864513

88

1.1758

0.16194877

89

1.1696

0.15666181

90

1.1633

0.15126079

91

1.1573

0.14608971

92

1.1498

0.13958801

93

1.1431

0.13374387

94

1.1373

0.12865703

95

1.1307

0.12283691

96

1.1251

0.11787192

97

1.118

0.11154137

98

1.1117

0.10589038

99

1.1056

0.10038817

100

1.0988

0.09421868

101

1.0935

0.08938356

102

1.0869

0.08332961

103

1.0831

0.0798273

104

1.0754

0.07269269

105

1.0691

0.06681717

106

1.0623

0.06043637

107

1.0566

0.05505621

108

1.0508

0.04955178

109

1.0443

0.0433468

110

1.0389

0.03816246

111

1.0331

0.03256399

112

1.0273

0.026934

113

1.0216

0.02137003

114

1.0162

0.01607018

115

1.0106

0.01054421

116

1.0051

0.00508704

117

0.9987

-0.00130085

118

0.9944

-0.00561574

119

0.9883

-0.01176898

120

0.9825

-0.01765494

121

0.9766

-0.02367813

122

0.9716

-0.02881108

123

0.9661

-0.03448793

124

0.9607

-0.04009309

125

0.9553

-0.04572985

126

0.9502

-0.05108279

127

0.9446

-0.05699372

128

0.9399

-0.06198179

129

0.9344

-0.06785067

130

0.9294

-0.07321606

131

0.925

-0.07796154

132

0.9193

-0.08414277

133

0.9147

-0.08915914

134

0.9094

-0.09497024

135

0.9049

-0.09993084

136

0.8993

-0.1061386

137

0.8953

-0.11059642

138

0.8899

-0.11664618

139

0.8855

-0.12160282

140

0.8806

-0.12715179

141

0.876

-0.13238919

142

0.8717

-0.13730995

143

0.8666

-0.14317777

144

0.8623

-0.14815204

145

0.8574

-0.15385072

146

0.8536

-0.15829258

147

0.8488

-0.16393169

148

0.8442

-0.16936585

149

0.8402

-0.17411532

150

0.8358

-0.17936593

151

0.8356

-0.17960525

152

0.8271

-0.18982967

153

0.8229

-0.19492059

154

0.8184

-0.20040406

155

0.8142

-0.20554924

156

0.8101

-0.21059758

157

0.8055

-0.21629208

158

0.8011

-0.2217695

159

0.7969

-0.22702608

160

0.7925

-0.23256277

161

0.7885

-0.23762287

162

0.7839

-0.24347382

163

0.7798

-0.2487178

164

0.7753

-0.25450523

165

0.7711

-0.25993721

166

0.7673

-0.26487742

167

0.7628

-0.27075941

168

0.7587

-0.27614884

169

0.7544

-0.28183255

170

0.7502

-0.28741544

171

0.7465

-0.29235966

172

0.7423

-0.2980018

173

0.7383

-0.30340503

174

0.7341

-0.30911002

175

0.73

-0.31471074

176

0.7257

-0.32061857

177

0.7218

-0.32600719

178

0.7178

-0.3315643

179

0.7137

-0.33729257

180

0.7096

-0.34305385

181

0.7058

-0.34842337

182

0.7015

-0.35453438

183

0.6976

-0.36010941

184

0.694

-0.36528332

185

0.6897

-0.37149856

186

0.6864

-0.37629473

187

0.6829

-0.38140684

188

0.679

-0.38713415

189

0.6758

-0.3918581

190

0.6722

-0.39719936

191

0.6685

-0.40271888

192

0.665

-0.40796824

193

0.6615

-0.4132453

194

0.658

-0.41855035

195

0.6543

-0.42418932

196

0.6511

-0.42909204

197

0.6477

-0.43432765

198

0.6442

-0.43974604

199

0.641

-0.44472582

200

0.6376

-0.45004415

201

0.6339

-0.45586407

202

0.631

-0.46044942

203

0.6276

-0.46585226

204

0.6243

-0.47112426

205

0.6212

-0.47610219

206

0.618

-0.48126682

207

0.6147

-0.48662094

208

0.6117

-0.49151331

209

0.6088

-0.49626547

210

0.6055

-0.50170072

211

0.6024

-0.5068336

212

0.5994

-0.51182612

213

0.5964

-0.5168437

214

0.5933

-0.52205511

215

0.5905

-0.52678564

216

0.5874

-0.53204926

217

0.5842

-0.53751189

218

0.5817

-0.54180043

219

0.5786

-0.54714389

220

0.5756

-0.5523423

221

0.5728

-0.55721866

222

0.5698

-0.56246986

223

0.5671

-0.56721962

224

0.5642

-0.57234648

225

0.5615

-0.5771435

226

0.5586

-0.58232163

227

0.5558

-0.58734676

228

0.5529

-0.59257813

229

0.55

-0.597837

230

0.5472

-0.60294091

231

0.5446

-0.6077037

232

0.5417

-0.61304294

233

0.5391

-0.6178542

234

0.5359

-0.6238077

235

0.5333

-0.62867116

236

0.5306

-0.63374684

237

0.5277

-0.63922734

238

0.5251

-0.64416656

239

0.5225

-0.6491303

240

0.5197

-0.65450356

241

0.5166

-0.6604864

242

0.5143

-0.66494853

243

0.5116

-0.67021221

244

0.509

-0.67530726

245

0.5063

-0.6806259

246

0.5035

-0.68617157

247

0.5011

-0.6909496

248

0.4985

-0.69615169

249

0.496

-0.70117935

250

0.4935

-0.70623242

251

0.4912

-0.7109039

252

0.4886

-0.71621112

253

0.4862

-0.72113522

254

0.484

-0.72567037

255

0.4814

-0.73105675

256

0.4791

-0.73584594

257

0.4768

-0.74065816

258

0.4744

-0.74570443

259

0.4722

-0.75035265

260

0.47

-0.75502258

261

0.4675

-0.76035593

262

0.4655

-0.76464318

263

0.4633

-0.76938049

264

0.4608

-0.77479117

265

0.4586

-0.77957691

266

0.4568

-0.78350962

267

0.4546

-0.78833737

268

0.4525

-0.79296752

269

0.4507

-0.79695335

270

0.4485

-0.8018466

271

0.4467

-0.80586805

272

0.4448

-0.81013054

273

0.4427

-0.81486294

274

0.4409

-0.81893719

275

0.4388

-0.82371155

276

0.4368

-0.82827985

277

0.4347

-0.83309914

278

0.4324

-0.83840419

279

0.4303

-0.84327264

280

0.4281

-0.84839847

281

0.426

-0.85331593

282

0.4237

-0.85872962

283

0.4215

-0.8639355

284

0.4193

-0.86916862

285

0.4169

-0.87490889

286

0.4149

-0.87971775

287

0.4128

-0.88479206

288

0.4109

-0.8894054

289

0.4088

-0.89452924

290

0.4071

-0.89869642

291

0.405

-0.90386821

292

0.403

-0.90881872

293

0.4012

-0.91329522

294

0.3993

-0.91804226

295

0.3973

-0.92306362

296

0.3955

-0.92760449

297

0.3937

-0.93216608

298

0.3916

-0.93751437

299

0.3899

-0.94186498

300

0.19518397

-1.63381275

Para obtener la Kap se hace una grafica de t contra At, siendo -Kap=pendiente de esta recta.

La ecuacin de la recta es .Entonces tenemos Kap= 0.0055

Se obtiene una lnea recta por lo que la reaccin es de orden 1.

Sistema 3

t

At

In At

0

2.2141

0.794846

1

2.1971

0.78713831

2

2.1648

0.77232798

3

2.1351

0.75851348

4

2.114

0.74858189

5

2.1006

0.74222302

6

2.0941

0.73912387

7

2.0941

0.73912387

8

2.0876

0.73601508

9

2.0941

0.73912387

10

2.0813

0.7329927

11

2.0626

0.72396732

12

2.0505

0.71808367

13

2.0447

0.71525108

14

2.0389

0.71241045

15

2.0275

0.70680351

16

2.0217

0.70393874

17

2.0164

0.70131374

18

2.0107

0.69848292

19

2

0.69314718

20

1.9948

0.69054379

21

1.9894

0.68783309

22

1.9791

0.6826422

23

1.974

0.68006194

24

1.969

0.6775258

25

1.9641

0.67503413

26

1.9591

0.67248518

27

1.9545

0.67013441

28

1.9451

0.66531339

29

1.9403

0.6628426

30

1.931

0.658038

31

1.9265

0.65570489

32

1.922

0.65336631

33

1.9131

0.64872496

34

1.9088

0.64647477

35

1.9001

0.64190652

36

1.8961

0.63979915

37

1.8918

0.63752876

38

1.8835

0.63313175

39

1.8755

0.62887529

40

1.8717

0.62684711

41

1.8717

0.62684711

42

1.8638

0.62261741

43

1.8599

0.62052272

44

1.8523

0.61642811

45

1.8486

0.6144286

46

1.8412

0.61041753

47

1.8375

0.60840595

48

1.8303

0.60447989

49

1.8234

0.60070289

50

1.8165

0.59691157

51

1.8097

0.59316109

52

1.8029

0.58939648

53

1.7963

0.58572899

54

1.7931

0.58394597

55

1.7898

0.58210388

56

1.7833

0.57846558

57

1.777

0.57492655

58

1.7739

0.57318051

59

1.7646

0.56792404

60

1.7616

0.56622249

61

1.7555

0.56275372

62

1.7495

0.55933003

63

1.7437

0.55600929

64

1.7379

0.55267749

65

1.735

0.55100741

66

1.7292

0.54765887

67

1.7264

0.54603832

68

1.7207

0.54273118

69

1.7153

0.53958799

70

1.707

0.53473744

71

1.7017

0.53162775

72

1.6963

0.52844941

73

1.6884

0.52378133

74

1.6857

0.52218091

75

1.6805

0.51909137

76

1.6755

0.51611163

77

1.6704

0.51306312

78

1.6654

0.51006533

79

1.6631

0.50868333

80

1.6558

0.50428428

81

1.651

0.50138116

82

1.6464

0.49859109

83

1.6416

0.49567138

84

1.6345

0.49133695

85

1.63

0.48858001

86

1.6255

0.48581546

87

1.6187

0.48162336

88

1.6165

0.48026332

89

1.6099

0.47617207

90

1.6056

0.47349752

91

1.6013

0.4708158

92

1.597

0.46812687

93

1.5908

0.46423703

94

1.5867

0.46165639

95

1.5807

0.45786779

96

1.5765

0.4552072

97

1.5725

0.45266671

98

1.5686

0.4501835

99

1.5627

0.44641509

100

1.5588

0.44391629

101

1.5531

0.44025293

102

1.5494

0.43786776

103

1.5438

0.43424691

104

1.5383

0.43067791

105

1.5348

0.42840008

106

1.5293

0.42481011

107

1.5276

0.42369788

108

1.5206

0.41910499

109

1.5171

0.41680062

110

1.512

0.41343328

111

1.507

0.41012092

112

1.5034

0.40772921

113

1.4984

0.40439787

114

1.4937

0.40125626

115

1.4919

0.40005048

116

1.4872

0.39689516

117

1.4823

0.39359494

118

1.4775

0.39035147

119

1.4729

0.38723325

120

1.4681

0.38396905

121

1.4652

0.38199175

122

1.4591

0.37781981

123

1.4559

0.37562427

124

1.4515

0.3725975

125

1.447

0.36949245

126

1.4426

0.36644704

127

1.4384

0.36353138

128

1.434

0.36046774

129

1.4297

0.35746463

130

1.4268

0.35543417

131

1.4226

0.35248618

132

1.4183

0.34945897

133

1.4142

0.346564

134

1.4102

0.34373154

135

1.406

0.34074879

136

1.4019

0.33782846

137

1.3966

0.33404071

138

1.3939

0.33210557

139

1.39

0.32930375

140

1.386

0.3264219

141

1.3822

0.32367643

142

1.3784

0.32092341

143

1.3733

0.3172166

144

1.3694

0.31437269

145

1.3657

0.31166712

146

1.3621

0.30902763

147

1.3584

0.30630754

148

1.3547

0.30358003

149

1.35

0.30010459

150

1.3464

0.29743436

151

1.3418

0.294012

152

1.3395

0.29229641

153

1.3347

0.28870655

154

1.3312

0.28608079

155

1.3278

0.28352344

156

1.3232

0.28005305

157

1.3188

0.27672223

158

1.3145

0.27345637

159

1.311

0.2707902

160

1.3068

0.2675814

161

1.3036

0.26512967

162

1.2993

0.26182566

163

1.295

0.2585107

164

1.2917

0.25595918

165

1.2877

0.25285768

166

1.2845

0.25036954

167

1.2805

0.24725063

168

1.2765

0.24412196

169

1.2726

0.24106205

170

1.2686

0.23791393

171

1.2656

0.23554632

172

1.2607

0.23166712

173

1.2578

0.22936416

174

1.254

0.22633844

175

1.2493

0.22258339

176

1.2466

0.22041985

177

1.2428

0.2173669

178

1.2391

0.21438531

179

1.2355

0.21147575

180

1.2319

0.20855769

181

1.2283

0.2056311

182

1.2257

0.20351211

183

1.2222

0.20065251

184

1.2179

0.19712806

185

1.2136

0.19359115

186

1.2102

0.19078564

187

1.2075

0.18855211

188

1.2051

0.18656255

189

1.2008

0.182988

190

1.1974

0.18015254

191

1.1942

0.17747651

192

1.1901

0.17403734

193

1.1886

0.17277614

194

1.1854

0.17008027

195

1.1813

0.16661553

196

1.1782

0.16398785

197

1.1749

0.16118304

198

1.1719

0.15862636

199

1.1688

0.15597758

200

1.1656

0.15323598

201

1.1619

0.1500566

202

1.1581

0.14678073

203

1.1559

0.14487926

204

1.152

0.14149956

205

1.149

0.138892

206

1.146

0.13627762

207

1.1423

0.13304377

208

1.1394

0.13050181

209

1.1366

0.12804135

210

1.1337

0.12548662

211

1.13

0.12221763

212

1.1272

0.11973668

213

1.1244

0.11724956

214

1.1216

0.11475624

215

1.1187

0.1121673

216

1.1158

0.10957164

217

1.1132

0.10723875

218

1.1105

0.10481036

219

1.1077

0.10228579

220

1.105

0.09984533

221

1.1022

0.09730818

222

1.0988

0.09421868

223

1.0962

0.09184965

224

1.0929

0.08883471

225

1.0903

0.08645289

226

1.0869

0.08332961

227

1.0831

0.0798273

228

1.0798

0.07677584

229

1.0767

0.07390081

230

1.0735

0.07092434

231

1.0703

0.06793898

232

1.0671

0.06494469

233

1.0641

0.06212937

234

1.061

0.05921186

235

1.058

0.05638033

236

1.0548

0.05335118

237

1.052

0.05069311

238

1.0496

0.04840914

239

1.046

0.04497337

240

1.0431

0.04219705

241

1.0402

0.039413

242

1.0378

0.03710309

243

1.0343

0.03372487

244

1.0308

0.0303352

245

1.028

0.02761517

246

1.0256

0.02527781

247

1.0222

0.02195717

248

1.0188

0.01862546

249

1.0162

0.01607018

250

1.0134

0.01331101

251

1.0112

0.01113774

252

1.0078

0.00776974

253

1.0051

0.00508704

254

1.002

0.001998

255

0.9999

-0.00010001

256

0.9967

-0.00330546

257

0.994

-0.00601807

258

0.9907

-0.00934352

259

0.9886

-0.01146548

260

0.9862

-0.01389611

261

0.9832

-0.01694272

262

0.9805

-0.01969263

263

0.978

-0.02224561

264

0.9749

-0.02542038

265

0.9724

-0.02798804

266

0.9701

-0.03035612

267

0.9669

-0.0336602

268

0.9651

-0.03552356

269

0.9622

-0.03853295

270

0.9597

-0.04113454

271

0.9568

-0.0441609

272

0.9545

-0.04656764

273

0.9521

-0.04908521

274

0.9492

-0.05213575

275

0.9464

-0.05508997

276

0.944

-0.05762911

277

0.9414

-0.06038715

278

0.939

-0.0629398

279

0.9363

-0.06581934

280

0.9341

-0.06817178

281

0.9318

-0.07063708

282

0.9291

-0.0735389

283

0.9264

-0.07644917

284

0.9242

-0.07882678

285

0.9215

-0.0817525

286

0.9191

-0.08436035

287

0.9164

-0.08730233

288

0.9147

-0.08915914

289

0.9121

-0.09200565

290

0.9094

-0.09497024

291

0.907

-0.09761283

292

0.9045

-0.10037297

293

0.9022

-0.10291905

294

0.8998

-0.10558276

295

0.8977

-0.10791934

296

0.8953

-0.11059642

297

0.8927

-0.1135047

298

0.8904

-0.11608448

299

0.8883

-0.11844576

300

0.8862

-0.12081262

Para obtener la Kap se hace una grafica de t contra At, siendo -Kap=pendiente de esta recta.

La ecuacin de la recta es .Entonces tenemos Kap= 0.0029

Se obtiene una lnea recta por lo que la reaccin es de orden 1.

Sistema 4

t

At

In At

0

2.2507

0.81124128

1

2.2413

0.80705605

2

2.223

0.79885763

3

2.2141

0.794846

4

2.2054

0.7909089

5

2.1971

0.78713831

6

2.1971

0.78713831

7

2.1971

0.78713831

8

2.1971

0.78713831

9

2.1971

0.78713831

10

2.1887

0.78330776

11

2.1887

0.78330776

12

2.1887

0.78330776

13

2.1807

0.77964593

14

2.1727

0.77597063

15

2.1727

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0.42840008

514

1.5311

0.42598643

515

1.5311

0.42598643

516

1.5311

0.42598643

517

1.5293

0.42481011

518

1.5293

0.42481011

519

1.5276

0.42369788

520

1.5258

0.42251886

521

1.5258

0.42251886

522

1.5258

0.42251886

523

1.5258

0.42251886

524

1.524

0.42133846

525

1.524

0.42133846

526

1.5222

0.42015666

527

1.5206

0.41910499

528

1.5206

0.41910499

529

1.5189

0.41798639

530

1.5189

0.41798639

531

1.5171

0.41680062

532

1.5155

0.41574542

533

1.5155

0.41574542

534

1.5155

0.41574542

535

1.5138

0.41462305

536

1.512

0.41343328

537

1.5104

0.41237452

538

1.5104

0.41237452

539

1.5087

0.41124835

540

1.5087

0.41124835

541

1.507

0.41012092

542

1.507

0.41012092

543

1.5051

0.40885934

544

1.5051

0.40885934

545

1.5034

0.40772921

546

1.5018

0.40666439

547

1.5002

0.40559843

548

1.5002

0.40559843

549

1.5002

0.40559843

550

1.5002

0.40559843

551

1.4984

0.40439787

552

1.4968

0.4033295

553

1.4968

0.4033295

554

1.4952

0.40225998

555

1.4952

0.40225998

556

1.4937

0.40125626

557

1.4919

0.40005048

558

1.4919

0.40005048

559

1.4904

0.39904454

560

1.4888

0.39797043

561

1.4888

0.39797043

562

1.4872

0.39689516

563

1.4872

0.39689516

564

1.4855

0.39575142

565

1.4855

0.39575142

566

1.4839

0.39467376

567

1.4823

0.39359494

568

1.4823

0.39359494

569

1.4808

0.39258248

570

1.4808

0.39258248

571

1.4792

0.3915014

572

1.4775

0.39035147

573

1.4775

0.39035147

574

1.476

0.38933573

575

1.476

0.38933573

576

1.476

0.38933573

577

1.4745

0.38831895

578

1.4745

0.38831895

579

1.4729

0.38723325

580

1.4729

0.38723325

581

1.4714

0.38621433

582

1.4698

0.38512634

583

1.4698

0.38512634

584

1.4681

0.38396905

585

1.4681

0.38396905

586

1.4667

0.38301498

587

1.4652

0.38199175

588

1.4652

0.38199175

589

1.4636

0.38089915

590

1.4622

0.37994215

591

1.4606

0.37884731

592

1.4606

0.37884731

593

1.4606

0.37884731

594

1.4591

0.37781981

595

1.4576

0.37679125

596

1.4576

0.37679125

597

1.4559

0.37562427

598

1.4545

0.3746622

599

1.4545

0.3746622

600

1.453

0.37363038

Para obtener la Kap se hace una grafica de t contra At, siendo -Kap=pendiente de esta recta.

La ecuacin de la recta es . Entonces tenemos Kap= 0.0007

Se obtiene una lnea recta por lo que la reaccin es de orden 1.

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