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Chemical Reaction Analysis

This document contains data from an experiment measuring reaction kinetics over time. It provides rate constants for two reactions (k1 and k2) and then measures the change in concentration (a(t), b(t), x(t), y(t)) over 100 time steps for each of four reactions. It also includes the derivatives (da(t)/dt, db(t)/dt, etc.) showing the rate of change in concentration for each reaction at each time step.

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prateek_bhoir
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© Attribution Non-Commercial (BY-NC)
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28 views7 pages

Chemical Reaction Analysis

This document contains data from an experiment measuring reaction kinetics over time. It provides rate constants for two reactions (k1 and k2) and then measures the change in concentration (a(t), b(t), x(t), y(t)) over 100 time steps for each of four reactions. It also includes the derivatives (da(t)/dt, db(t)/dt, etc.) showing the rate of change in concentration for each reaction at each time step.

Uploaded by

prateek_bhoir
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLSX, PDF, TXT or read online on Scribd
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Reaction Kinetics

http://excelcalculations.blogspot.com
Rate Constants
k1
0.1
k2
0.05
Time

a(t)
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36

1
0.9
0.819
0.751514
0.694003
0.644081
0.600085
0.56082
0.52541
0.493196
0.463675
0.436458
0.411236
0.387763
0.365842
0.345307
0.326025
0.307882
0.290781
0.274641
0.259391
0.244969
0.231319
0.218393
0.206148
0.194543
0.183545
0.173119
0.163236
0.153867
0.144987
0.136571
0.128598
0.121044
0.11389
0.107117
0.100707

b(t)
1
1
0.995
0.986244
0.974669
0.960991
0.945764
0.929417
0.912288
0.894641
0.876683
0.85858
0.840458
0.822421
0.804548
0.7869
0.769525
0.752461
0.735734
0.719366
0.70337
0.687756
0.67253
0.657693
0.643247
0.629189
0.615515
0.602221
0.5893
0.576746
0.564551
0.552708
0.541208
0.530043
0.519203
0.508681
0.498468

x(t)
1
0.9
0.824
0.76527
0.719334
0.68309
0.654321
0.631403
0.613121
0.598555
0.586992
0.577878
0.570777
0.565342
0.561294
0.558407
0.5565
0.555421
0.555047
0.555275
0.556021
0.557213
0.558789
0.5607
0.562901
0.565355
0.56803
0.570898
0.573935
0.577121
0.580436
0.583863
0.587389
0.591001
0.594687
0.598436
0.602239

y(t)
0
0.1
0.176
0.23473
0.280666
0.31691
0.345679
0.368597
0.386879
0.401445
0.413008
0.422122
0.429223
0.434658
0.438706
0.441593
0.4435
0.444579
0.444953
0.444725
0.443979
0.442787
0.441211
0.4393
0.437099
0.434645
0.43197
0.429102
0.426065
0.422879
0.419564
0.416137
0.412611
0.408999
0.405313
0.401564
0.397761

da(t)/dt
-0.1
-0.081
-0.06749
-0.05751
-0.04992
-0.044
-0.03926
-0.03541
-0.03221
-0.02952
-0.02722
-0.02522
-0.02347
-0.02192
-0.02053
-0.01928
-0.01814
-0.0171
-0.01614
-0.01525
-0.01442
-0.01365
-0.01293
-0.01225
-0.0116
-0.011
-0.01043
-0.00988
-0.00937
-0.00888
-0.00842
-0.00797
-0.00755
-0.00715
-0.00677
-0.00641

db(t)/dt
0
-0.005
-0.00876
-0.01158
-0.01368
-0.01523
-0.01635
-0.01713
-0.01765
-0.01796
-0.0181
-0.01812
-0.01804
-0.01787
-0.01765
-0.01737
-0.01706
-0.01673
-0.01637
-0.016
-0.01561
-0.01523
-0.01484
-0.01445
-0.01406
-0.01367
-0.01329
-0.01292
-0.01255
-0.01219
-0.01184
-0.0115
-0.01117
-0.01084
-0.01052
-0.01021

dx(t)/dt
-0.1
-0.076
-0.05873
-0.04594
-0.03624
-0.02877
-0.02292
-0.01828
-0.01457
-0.01156
-0.00911
-0.0071
-0.00544
-0.00405
-0.00289
-0.00191
-0.00108
-0.00037
0.000229
0.000746
0.001191
0.001577
0.001911
0.002201
0.002454
0.002675
0.002868
0.003037
0.003185
0.003315
0.003428
0.003526
0.003612
0.003686
0.003749
0.003803

dy(t)/dt
0.1
0.076
0.05873
0.045936
0.036244
0.028769
0.022918
0.018281
0.014567
0.011563
0.009113
0.007101
0.005435
0.004048
0.002886
0.001908
0.001079
0.000374
-0.00023
-0.00075
-0.00119
-0.00158
-0.00191
-0.0022
-0.00245
-0.00268
-0.00287
-0.00304
-0.00319
-0.00331
-0.00343
-0.00353
-0.00361
-0.00369
-0.00375
-0.0038

37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83

0.094642
0.088906
0.083483
0.078358
0.073517
0.068946
0.064631
0.060561
0.056723
0.053106
0.049698
0.04649
0.04347
0.040629
0.037958
0.035448
0.03309
0.030876
0.028798
0.02685
0.025023
0.023311
0.021708
0.020207
0.018803
0.017489
0.016261
0.015114
0.014043
0.013042
0.012109
0.011238
0.010427
0.00967
0.008966
0.00831
0.007699
0.007131
0.006603
0.006112
0.005656
0.005232
0.004838
0.004473
0.004134
0.00382
0.003528

0.488554
0.478932
0.469592
0.460527
0.451727
0.443184
0.434891
0.42684
0.419023
0.411432
0.404061
0.396902
0.389948
0.383193
0.376629
0.370251
0.364053
0.358029
0.352172
0.346478
0.340941
0.335556
0.330317
0.32522
0.32026
0.315433
0.310734
0.306159
0.301703
0.297364
0.293137
0.289018
0.285003
0.281091
0.277276
0.273556
0.269928
0.266389
0.262936
0.259566
0.256277
0.253065
0.249929
0.246866
0.243874
0.240951
0.238094

0.606088
0.609974
0.613891
0.617831
0.62179
0.625761
0.62974
0.633721
0.6377
0.641673
0.645637
0.649588
0.653522
0.657436
0.661329
0.665196
0.669036
0.672847
0.676626
0.680371
0.684082
0.687756
0.691391
0.694987
0.698543
0.702056
0.705528
0.708955
0.712339
0.715678
0.718972
0.722221
0.725423
0.72858
0.73169
0.734753
0.737771
0.740742
0.743667
0.746546
0.749379
0.752167
0.754909
0.757607
0.76026
0.762869
0.765434

0.393912
0.390026
0.386109
0.382169
0.37821
0.374239
0.37026
0.366279
0.3623
0.358327
0.354363
0.350412
0.346478
0.342564
0.338671
0.334804
0.330964
0.327153
0.323374
0.319629
0.315918
0.312244
0.308609
0.305013
0.301457
0.297944
0.294472
0.291045
0.287661
0.284322
0.281028
0.277779
0.274577
0.27142
0.26831
0.265247
0.262229
0.259258
0.256333
0.253454
0.250621
0.247833
0.245091
0.242393
0.23974
0.237131
0.234566

-0.00606
-0.00574
-0.00542
-0.00512
-0.00484
-0.00457
-0.00431
-0.00407
-0.00384
-0.00362
-0.00341
-0.00321
-0.00302
-0.00284
-0.00267
-0.00251
-0.00236
-0.00221
-0.00208
-0.00195
-0.00183
-0.00171
-0.0016
-0.0015
-0.0014
-0.00131
-0.00123
-0.00115
-0.00107
-0.001
-0.00093
-0.00087
-0.00081
-0.00076
-0.0007
-0.00066
-0.00061
-0.00057
-0.00053
-0.00049
-0.00046
-0.00042
-0.00039
-0.00037
-0.00034
-0.00031
-0.00029

-0.00991
-0.00962
-0.00934
-0.00907
-0.0088
-0.00854
-0.00829
-0.00805
-0.00782
-0.00759
-0.00737
-0.00716
-0.00695
-0.00676
-0.00656
-0.00638
-0.0062
-0.00602
-0.00586
-0.00569
-0.00554
-0.00539
-0.00524
-0.0051
-0.00496
-0.00483
-0.0047
-0.00458
-0.00446
-0.00434
-0.00423
-0.00412
-0.00401
-0.00391
-0.00381
-0.00372
-0.00363
-0.00354
-0.00345
-0.00337
-0.00329
-0.00321
-0.00314
-0.00306
-0.00299
-0.00292
-0.00286

0.003849
0.003886
0.003917
0.003941
0.003959
0.003971
0.003978
0.003981
0.003979
0.003973
0.003964
0.003951
0.003934
0.003915
0.003892
0.003867
0.00384
0.003811
0.003779
0.003746
0.00371
0.003674
0.003636
0.003596
0.003555
0.003514
0.003471
0.003428
0.003384
0.003339
0.003294
0.003248
0.003203
0.003156
0.00311
0.003064
0.003017
0.002971
0.002925
0.002879
0.002833
0.002788
0.002742
0.002698
0.002653
0.002609
0.002565

-0.00385
-0.00389
-0.00392
-0.00394
-0.00396
-0.00397
-0.00398
-0.00398
-0.00398
-0.00397
-0.00396
-0.00395
-0.00393
-0.00391
-0.00389
-0.00387
-0.00384
-0.00381
-0.00378
-0.00375
-0.00371
-0.00367
-0.00364
-0.0036
-0.00356
-0.00351
-0.00347
-0.00343
-0.00338
-0.00334
-0.00329
-0.00325
-0.0032
-0.00316
-0.00311
-0.00306
-0.00302
-0.00297
-0.00292
-0.00288
-0.00283
-0.00279
-0.00274
-0.0027
-0.00265
-0.00261
-0.00257

84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130

0.003258
0.003008
0.002776
0.002562
0.002363
0.002179
0.002009
0.001852
0.001707
0.001573
0.001449
0.001334
0.001228
0.001131
0.00104
0.000957
0.000881
0.00081
0.000745
0.000685
0.000629
0.000578
0.000531
0.000488
0.000448
0.000412
0.000378
0.000347
0.000318
0.000292
0.000268
0.000246
0.000226
0.000207
0.00019
0.000174
0.000159
0.000146
0.000134
0.000123
0.000112
0.000103
9.43E-05
8.63E-05
7.9E-05
7.24E-05
6.62E-05

0.235302
0.232572
0.229902
0.227292
0.224738
0.222239
0.219793
0.2174
0.215057
0.212763
0.210516
0.208316
0.20616
0.204047
0.201977
0.199948
0.197959
0.196008
0.194095
0.192218
0.190378
0.188571
0.186799
0.185059
0.183351
0.181675
0.180028
0.178411
0.176823
0.175262
0.173729
0.172222
0.170741
0.169285
0.167854
0.166447
0.165063
0.163702
0.162364
0.161047
0.159751
0.158476
0.157221
0.155986
0.15477
0.153573
0.152394

0.767956
0.770436
0.772874
0.77527
0.777626
0.779941
0.782216
0.784452
0.78665
0.78881
0.790932
0.793018
0.795068
0.797083
0.799063
0.801009
0.802922
0.804802
0.80665
0.808466
0.810252
0.812007
0.813732
0.815429
0.817097
0.818737
0.82035
0.821936
0.823496
0.82503
0.826539
0.828024
0.829485
0.830921
0.832335
0.833727
0.835096
0.836444
0.83777
0.839076
0.840362
0.841627
0.842874
0.844101
0.845309
0.8465
0.847672

0.232044
0.229564
0.227126
0.22473
0.222374
0.220059
0.217784
0.215548
0.21335
0.21119
0.209068
0.206982
0.204932
0.202917
0.200937
0.198991
0.197078
0.195198
0.19335
0.191534
0.189748
0.187993
0.186268
0.184571
0.182903
0.181263
0.17965
0.178064
0.176504
0.17497
0.173461
0.171976
0.170515
0.169079
0.167665
0.166273
0.164904
0.163556
0.16223
0.160924
0.159638
0.158373
0.157126
0.155899
0.154691
0.1535
0.152328

-0.00027
-0.00025
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-0.00017
-0.00016
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-0.00013
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-0.00011
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-9.8E-05
-9E-05
-8.3E-05
-7.7E-05
-7.1E-05
-6.5E-05
-6E-05
-5.5E-05
-5.1E-05
-4.7E-05
-4.3E-05
-4E-05
-3.7E-05
-3.4E-05
-3.1E-05
-2.9E-05
-2.6E-05
-2.4E-05
-2.2E-05
-2E-05
-1.9E-05
-1.7E-05
-1.6E-05
-1.4E-05
-1.3E-05
-1.2E-05
-1.1E-05
-1E-05
-9.4E-06
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-7.9E-06
-7.3E-06
-6.7E-06
-6.1E-06

-0.00279
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0.002522
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0.002396
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0.002315
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0.002236
0.002198
0.00216
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0.001461
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0.001414
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0.001327
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0.001286
0.001266
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0.001227
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0.001173

-0.00252
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-0.00133
-0.00131
-0.00129
-0.00127
-0.00125
-0.00123
-0.00121
-0.00119
-0.00117

131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177

6.06E-05
5.55E-05
5.08E-05
4.64E-05
4.25E-05
3.89E-05
3.55E-05
3.25E-05
2.97E-05
2.72E-05
2.48E-05
2.27E-05
2.07E-05
1.9E-05
1.73E-05
1.58E-05
1.45E-05
1.32E-05
1.21E-05
1.1E-05
1.01E-05
9.19E-06
8.39E-06
7.66E-06
6.99E-06
6.38E-06
5.82E-06
5.32E-06
4.85E-06
4.43E-06
4.04E-06
3.68E-06
3.36E-06
3.07E-06
2.8E-06
2.55E-06
2.33E-06
2.12E-06
1.93E-06
1.76E-06
1.61E-06
1.46E-06
1.34E-06
1.22E-06
1.11E-06
1.01E-06
9.21E-07

0.151233
0.15009
0.148964
0.147855
0.146762
0.145686
0.144625
0.143579
0.142549
0.141533
0.140532
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0.122359
0.12161
0.120871
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0.119419
0.118705
0.118001
0.117305
0.116617
0.115937
0.115265
0.1146
0.113944
0.113295
0.112653
0.112018

0.848827
0.849965
0.851087
0.852191
0.85328
0.854353
0.855411
0.856453
0.857481
0.858494
0.859493
0.860478
0.86145
0.862408
0.863353
0.864285
0.865205
0.866112
0.867008
0.867891
0.868763
0.869623
0.870472
0.871311
0.872138
0.872955
0.873761
0.874558
0.875344
0.876121
0.876888
0.877645
0.878393
0.879132
0.879863
0.880584
0.881297
0.882001
0.882697
0.883385
0.884065
0.884737
0.885401
0.886057
0.886706
0.887348
0.887983

0.151173
0.150035
0.148913
0.147809
0.14672
0.145647
0.144589
0.143547
0.142519
0.141506
0.140507
0.139522
0.13855
0.137592
0.136647
0.135715
0.134795
0.133888
0.132992
0.132109
0.131237
0.130377
0.129528
0.128689
0.127862
0.127045
0.126239
0.125442
0.124656
0.123879
0.123112
0.122355
0.121607
0.120868
0.120137
0.119416
0.118703
0.117999
0.117303
0.116615
0.115935
0.115263
0.114599
0.113943
0.113294
0.112652
0.112017

-5.6E-06
-5.1E-06
-4.7E-06
-4.3E-06
-4E-06
-3.6E-06
-3.3E-06
-3E-06
-2.8E-06
-2.5E-06
-2.3E-06
-2.1E-06
-2E-06
-1.8E-06
-1.6E-06
-1.5E-06
-1.4E-06
-1.3E-06
-1.1E-06
-1E-06
-9.6E-07
-8.7E-07
-8E-07
-7.3E-07
-6.7E-07
-6.1E-07
-5.6E-07
-5.1E-07
-4.6E-07
-4.2E-07
-3.9E-07
-3.5E-07
-3.2E-07
-3E-07
-2.7E-07
-2.5E-07
-2.2E-07
-2E-07
-1.9E-07
-1.7E-07
-1.6E-07
-1.4E-07
-1.3E-07
-1.2E-07
-1.1E-07
-9.8E-08
-9E-08

-0.00116
-0.00114
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0.001155
0.001138
0.001121
0.001105
0.001089
0.001073
0.001058
0.001043
0.001028
0.001013
0.000999
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0.000958
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0.000758
0.000748
0.000739
0.00073
0.000721
0.000713
0.000704
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0.000688
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0.000634

-0.00116
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-0.00068
-0.00067
-0.00066
-0.00066
-0.00065
-0.00064
-0.00063

178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224

8.39E-07
7.65E-07
6.97E-07
6.35E-07
5.78E-07
5.27E-07
4.8E-07
4.37E-07
3.98E-07
3.62E-07
3.3E-07
3E-07
2.74E-07
2.49E-07
2.27E-07
2.06E-07
1.88E-07
1.71E-07
1.56E-07
1.42E-07
1.29E-07
1.17E-07
1.07E-07
9.72E-08
8.84E-08
8.04E-08
7.32E-08
6.66E-08
6.06E-08
5.51E-08
5.01E-08
4.56E-08
4.14E-08
3.77E-08
3.43E-08
3.12E-08
2.83E-08
2.58E-08
2.34E-08
2.13E-08
1.94E-08
1.76E-08
1.6E-08
1.46E-08
1.32E-08
1.2E-08
1.09E-08

0.111391
0.110771
0.110157
0.10955
0.10895
0.108357
0.10777
0.107189
0.106614
0.106046
0.105484
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0.104377
0.103832
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0.10276
0.102232
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0.101192
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0.100173
0.099671
0.099175
0.098683
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0.097714
0.097237
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0.096296
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0.094918
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0.093579
0.093141
0.092708
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0.091852
0.09143
0.091012
0.090598
0.090188
0.089781
0.089378
0.088979
0.088583

0.88861
0.88923
0.889844
0.89045
0.89105
0.891644
0.892231
0.892811
0.893386
0.893954
0.894516
0.895073
0.895623
0.896168
0.896707
0.89724
0.897768
0.898291
0.898808
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0.900329
0.900825
0.901317
0.901804
0.902286
0.902764
0.903236
0.903704
0.904168
0.904627
0.905082
0.905533
0.905979
0.906421
0.906859
0.907292
0.907722
0.908148
0.90857
0.908988
0.909402
0.909812
0.910219
0.910622
0.911021
0.911417

0.11139
0.11077
0.110156
0.10955
0.10895
0.108356
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0.107189
0.106614
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0.105484
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0.101709
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0.099671
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0.097236
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0.095373
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0.094467
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0.093579
0.093141
0.092708
0.092278
0.091852
0.09143
0.091012
0.090598
0.090188
0.089781
0.089378
0.088979
0.088583

-8.2E-08
-7.5E-08
-6.8E-08
-6.2E-08
-5.7E-08
-5.2E-08
-4.7E-08
-4.3E-08
-3.9E-08
-3.6E-08
-3.2E-08
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-2.7E-08
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-1.9E-08
-1.7E-08
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-9.6E-09
-8.8E-09
-8E-09
-7.3E-09
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-5.5E-09
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-4.5E-09
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-3.8E-09
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-3.1E-09
-2.8E-09
-2.6E-09
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-1.9E-09
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-1.1E-09

-0.00063
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0.000627
0.00062
0.000613
0.000607
0.0006
0.000593
0.000587
0.000581
0.000574
0.000568
0.000562
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0.000545
0.000539
0.000533
0.000528
0.000523
0.000517
0.000512
0.000507
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0.000497
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0.000487
0.000482
0.000477
0.000473
0.000468
0.000464
0.000459
0.000455
0.00045
0.000446
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0.000438
0.000434
0.00043
0.000426
0.000422
0.000418
0.000414
0.00041
0.000407
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0.000399
0.000396

-0.00063
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-0.00042
-0.00041
-0.00041
-0.00041
-0.0004
-0.0004
-0.0004

225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250

9.93E-09
9.03E-09
8.2E-09
7.45E-09
6.77E-09
6.15E-09
5.59E-09
5.08E-09
4.62E-09
4.19E-09
3.81E-09
3.46E-09
3.14E-09
2.86E-09
2.59E-09
2.36E-09
2.14E-09
1.94E-09
1.77E-09
1.6E-09
1.46E-09
1.32E-09
1.2E-09
1.09E-09
9.9E-10
8.99E-10

0.08819
0.087802
0.087416
0.087034
0.086655
0.08628
0.085908
0.085539
0.085173
0.08481
0.08445
0.084094
0.08374
0.08339
0.083042
0.082697
0.082355
0.082016
0.08168
0.081346
0.081015
0.080687
0.080362
0.080039
0.079718
0.079401

0.91181
0.912198
0.912584
0.912966
0.913345
0.91372
0.914092
0.914461
0.914827
0.91519
0.91555
0.915906
0.91626
0.91661
0.916958
0.917303
0.917645
0.917984
0.91832
0.918654
0.918985
0.919313
0.919638
0.919961
0.920282
0.920599

0.08819
0.087802
0.087416
0.087034
0.086655
0.08628
0.085908
0.085539
0.085173
0.08481
0.08445
0.084094
0.08374
0.08339
0.083042
0.082697
0.082355
0.082016
0.08168
0.081346
0.081015
0.080687
0.080362
0.080039
0.079718
0.079401

-1E-09
-9.1E-10
-8.2E-10
-7.5E-10
-6.8E-10
-6.2E-10
-5.6E-10
-5.1E-10
-4.6E-10
-4.2E-10
-3.8E-10
-3.5E-10
-3.2E-10
-2.9E-10
-2.6E-10
-2.4E-10
-2.2E-10
-2E-10
-1.8E-10
-1.6E-10
-1.5E-10
-1.3E-10
-1.2E-10
-1.1E-10
-1E-10
-9.1E-11

-0.00039
-0.00039
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-0.00033
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-0.00032

0.000392
0.000389
0.000385
0.000382
0.000379
0.000375
0.000372
0.000369
0.000366
0.000363
0.00036
0.000357
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0.000351
0.000348
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0.000342
0.000339
0.000336
0.000334
0.000331
0.000328
0.000326
0.000323
0.00032
0.000318

-0.00039
-0.00039
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-0.00038
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-0.00037
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-0.00034
-0.00034
-0.00033
-0.00033
-0.00033
-0.00033
-0.00032
-0.00032
-0.00032

Concentration

Reaction Kinetics
1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0

a(t)
b(t)
x(t)
y(t)

50

100

Time

150

200

250

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