7. APPENDIX
Appendix 1.
Thermogravimetri Moisture Analysis
Samples Without Pretreatment (PT. KON)Initial moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
22.24282
2.02750
22.54300 22.54397 22.54319
22.54339
0.30057
1.72693 85.17550
2
17.19716
2.03230
17.48381 17.48408 17.48484
17.48424
0.28708
1.74522 85.87397
3
19.32816
2.09724
19.64686 19.64800 19.64883
19.64790
0.31974
1.77750 84.75441
4
16.11043
2.09402
16.42655 16.42724 16.42910
16.42763
0.31720
1.77682 84.85210
PT.KON
fresh
Average =
85.16400
Final moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
20.17492
2.03370
21.95452 21.95423 21.95500
21.95458
1.77966
0.25404 12.49135
2
22.26414
2.08507
24.04184 24.04191 24.04138
24.04171
1.77757
0.30750 14.74771
3
19.42982
2.03874
21.15199 21.15276 21.15034
21.15170
1.72188
0.31686 15.54212
4
24.49717
2.07175
26.26387 26.26586 26.26610
26.26528
1.76811
0.30364 14.65637
PT.KON
dried
Average =
14.35939
X
Samples With Sodium Bisulfite Pretreatment (PT. SB) Initial moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
22.22973
2.03107
22.58625 22.58746 22.58439
22.58603
0.35630
1.67477
82.45736
2
17.19475
2.07196
17.57839 17.57602 17.57638
17.57693
0.38218
1.68978
81.55466
3
19.32199
2.01674
19.66082 19.65775 19.65834
19.65897
0.33698
1.67976
83.29086
4
16.10449
2.07007
16.47400 16.47269 16.47618
16.47429
0.36980
1.70027
82.13587
PT.SB fresh
Average =
82.35969
Final moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
20.16638
2.06468
21.94313 21.94694 21.94628
21.94545
1.77907
0.28561
13.83314
2
22.25503
2.06218
24.00266 24.00210 24.00058
24.00178
1.74675
0.31543
15.29595
3
19.41730
2.02186
21.14311 21.14323 21.14490
21.14375
1.72645
0.29541
14.61097
4
24.48961
2.05564
26.22090 26.22598 26.22591
26.22426
1.73465
0.32099
15.61493
PT.SB dried
Average =
14.83875
X
X
Samples With Ascorbic Acid Pretreatment (PT. AA) Initial moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
22.23160
2.01781
22.59892 22.60193 22.60280
22.60122
0.36962
1.64819
81.68229
2
17.18964
2.04735
17.59642 17.59750 17.59895
17.59762
0.40798
1.63937
80.07261
3
19.31859
2.01479
19.76511 19.76544 19.76600
19.76552
0.44693
1.56786
77.81770
4
16.10512
2.07264
16.46235 16.46251 16.46397
16.46294
0.35782
1.71482
82.73587
PT.AA fresh
Average =
80.57712
Final moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial
Sample
Weight (g)
1
2
3
1
20.16642
2.01190
21.87842 21.87947 21.87969
21.87919
1.71277
0.29913
14.86787
2
22.25373
2.03335
23.89099 23.89011 23.88680
23.88930
1.63557
0.39778
19.56279
3
19.41951
2.04665
21.13363 21.13477 21.13635
21.13492
1.71541
0.33124
16.18466
4
24.48683
2.00670
26.13342 26.13342 26.13504
26.13396
1.64713
0.35957
17.91847
PT.AA dried
Average =
17.13345
X
X
Samples With Citric Acid Pretreatment (PT. AS) Initial moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial
Sample
Weight (g)
1
2
3
1
22.23261
2.03681
22.48359 22.48453 22.48357
22.48390
0.25129
1.78552
87.66273
2
17.19212
2.02522
17.48509 17.48425 17.48562
17.48499
0.29287
1.73235
85.53902
3
19.31940
2.01620
19.56060 19.56264 19.56102
19.56142
0.24202
1.77418
87.99623
4
16.10362
2.04820
16.35431 16.35295 16.35650
16.35459
0.25097
1.79723
87.74696
PT.AS fresh
Average =
87.23624
Final moisture content :
W3
Weight
Loss (g)
Cup + Sample Weight After in The Oven (g)
W2
Dried Sample
weight (g)
(W1-W2)
Moisture
Content
(
wet basis
)
%
Sample
Rep
Empty Cup
Weight (g)
W1
Initial Sample
Weight (g)
1
2
3
1
20.16630
2.07600
21.97392 21.97197 21.97067
21.97219
1.80589
0.27011
13.01124
2
22.25434
2.02185
23.96166 23.96423 23.96603
23.96397
1.70963
0.31222
15.44213
3
19.42121
2.04836
21.19371 21.18430 21.18640
21.18814
1.76693
0.28143
13.73945
4
24.48868
2.07177
26.25240 26.22157 26.22227
26.23208
1.74340
0.32837
15.84973
PT.AS dried
Average =
14.51064
X
X
X
Appendix 2.
Drying Kinetics Observation Based on Mass Balance Equation
a. Drying Kinetics of Samples Without Pretreatment (PT. KON)
a.1) Replicate 1
Sample : PT. KON 1
Initial Weight : 250.09 gr Initial Moisture : 85.164 %
Points Time Weight (gr) Moisture(%) M. Ratio
1 9:30 250.09 85.16399557 1
2 10:00 205.56 81.95010533 0.962262336
3 10:35 176.51 78.97945528 0.927380811
4 11:10 152.17 75.61716272 0.8879006
5 11:45 128 71.01299728 0.833838253
6 12:20 110.81 66.51623185 0.781037003
7 12:55 97.46 61.92964961 0.727181119
8 13:30 83.76 55.70276565 0.654064729
9 14:05 72.41 48.75933782 0.572534643
10 14:40 63.15 41.24566352 0.484308695
11 15:15 56.73 34.59657414 0.406234746
12 15:50 53.02 30.02006132 0.352497098
13 16:25 50.62 26.70216616 0.313538203
14 17:00 49.11 24.44845553 0.287075018
15 17:35 48.03 22.74960756 0.267127058
16 18:10 47.2 21.39117905 0.251176321
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:30 10:00 10:35 11:10 11:45 12:20 12:55 13:30 14:05 14:40 15:15 15:50 16:25 17:00 17:35 18:10 Time
M. Ratio
a.2) Replicate 2
Sample : PT. KON 2
Initial Weight : 250.05 gr Initial Moisture : 85.163996 %
Points Time Weight (gr) Moisture(%) M. Ratio
1 9:35 250.05 85.16399557 1
2 10:05 205.73 81.96790498 0.962471341
3 10:40 178.13 79.17395774 0.929664669
4 11:15 151.95 75.58576566 0.887531934
5 11:50 131.35 71.75681075 0.842572149
6 12:25 114.06 67.47551369 0.792300939
7 13:00 99.08 62.55810548 0.73456048
8 13:35 85.67 56.697293 0.66574252
9 14:10 76.51 51.51296682 0.604867896
10 14:45 67.72 45.21939001 0.530968395
11 15:20 61.37 39.55119914 0.464412207
12 15:55 57.36 35.3252631 0.414791049
13 16:30 54.8 32.30396152 0.379314772
14 17:05 53.17 30.22864569 0.354946307
15 17:40 51.99 28.64506812 0.336351858
16 18:15 51.11 27.41649563 0.321925897
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:35 10:05 10:40 11:15 11:50 12:25 13:00 13:35 14:10 14:45 15:20 15:55 16:30 17:05 17:40 18:15 Time
M. Ratio
a.3) Replicate 3
Sample : PT. KON 3
Initial Weight : 250.09 gr Initial Moisture : 85.163996 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:40 250.09 85.16399557 1
2 10:10 206.94 82.07047285 0.963675698
3 10:45 183.04 79.72936872 0.936186333
4 11:20 156.58 76.30389354 0.895964228
5 11:55 134.42 72.39743826 0.85009443
6 12:30 117.09 68.31209882 0.802124165
7 13:05 101.91 63.59202876 0.74670086
8 13:40 87.18 57.44050988 0.67446941
9 14:15 76.69 51.61903314 0.606113332
10 14:50 68.27 45.6520236 0.5360484
11 15:25 62.08 40.23298407 0.472417761
12 16:00 58.21 36.25946833 0.425760535
13 16:35 55.82 33.5303413 0.393714986
14 17:10 54.27 31.63190807 0.371423486
15 17:45 53.17 30.21748451 0.354815252
16 18:20 52.2 28.9207596 0.339589041
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:40 10:10 10:45 11:20 11:55 12:30 13:05 13:40 14:15 14:50 15:25 16:00 16:35 17:10 17:45 18:20 Time
M. Ratio
a.4) Replicate 4
Sample : PT. KON 4
Initial Weight : 201.24 gr Initial Moisture : 85.163996 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:45 201.24 85.16399557 1
2 10:15 168.55 82.28657649 0.966213198
3 10:50 144.81 79.38265636 0.932115219
4 11:25 125.01 76.11713037 0.893771245
5 12:00 104.64 71.46791349 0.839179902
6 12:35 90.73 67.09360154 0.787816507
7 13:10 78.38 61.90868165 0.726934912
8 13:45 67.68 55.88656129 0.656222866
9 14:20 58.67 49.11202434 0.576675906
10 14:55 52.08 42.67285844 0.501066891
11 15:30 47.88 37.64416182 0.442019677
12 16:05 45.13 33.84450405 0.397403901
13 16:40 43.41 31.2232773 0.366625322
14 17:15 42.2 29.25124331 0.343469598
15 17:50 41.33 27.76197599 0.325982545
16 18:25 40.63 26.51741245 0.311368816
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:45 10:15 10:50 11:25 12:00 12:35 13:10 13:45 14:20 14:55 15:30 16:05 16:40 17:15 17:50 18:25 Time
M. Ratio
a.5) Drying Kinetics of PT.KON Based on The Average Moisture Ratio
Minute
Rep 1 M. RatioRep 2 M. Ratio
Rep 3 M. Ratio
Rep 4 M. Ratio
Av. M .R atio
0' 1 1 1 1 1
30' 0.96226234 0.962471341 0.963675698 0.9662132 0.963655643
60' 0.92738081 0.929664669 0.936186333 0.93211522 0.931336758
90' 0.8879006 0.887531934 0.895964228 0.89377125 0.891292002
120' 0.83383825 0.842572149 0.85009443 0.8391799 0.841421184
150' 0.781037 0.792300939 0.802124165 0.78781651 0.790819654
180' 0.72718112 0.73456048 0.74670086 0.72693491 0.733844343
210' 0.65406473 0.66574252 0.67446941 0.65622287 0.662624881
240' 0.57253464 0.604867896 0.606113332 0.57667591 0.590047944
270' 0.48430869 0.530968395 0.5360484 0.50106689 0.513098095
300' 0.40623475 0.464412207 0.472417761 0.44201968 0.446271098
330' 0.3524971 0.414791049 0.425760535 0.3974039 0.397613146
360' 0.3135382 0.379314772 0.393714986 0.36662532 0.363298321
390' 0.28707502 0.354946307 0.371423486 0.3434696 0.339228602
420' 0.26712706 0.336351858 0.354815252 0.32598254 0.321069178
450' 0.25117632 0.321925897 0.339589041 0.31136882 0.306015019
Average Moisture Ratio KON
0 0.2 0.4 0.6 0.8 1 1.2
0' 30' 60' 90' 120' 150' 180' 210' 240' 270' 300' 330' 360' 390' 420' 450'
Time (minutes)
M. Ratio
b. Drying Kinetics of Samples With Sodium Bisulfite Pretreatment (PT. SB)
b.1) Replicate 1
Sample : PT. SB 1
Initial Weight : 250.15 gr Initial Moisture : 82.35969 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:30 250.15 82.35969 1
2 10:00 202.98 78.2603 0.95022582
3 10:35 178.63 75.29685 0.91424398
4 11:10 155.76 71.66973 0.87020393
5 11:45 131.48 66.43806 0.80668179
6 12:20 111.96 60.58661 0.73563422
7 12:55 93.74 52.92593 0.64261932
8 13:30 82.1 46.25184 0.56158352
9 14:05 71.45 38.2404 0.46430964
10 14:40 63.7 30.72647 0.37307662
11 15:15 57.67 23.48321 0.28512984
12 15:50 54.19 18.56941 0.22546724
13 16:25 51.95 15.05826 0.18283528
14 17:00 50.44 12.51539 0.15196018
15 17:35 49.39 10.65553 0.12937793
16 18:10 48.58 9.165839 0.11129035
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:30 10:00 10:35 11:10 11:45 12:20 12:55 13:30 14:05 14:40 15:15 15:50 16:25 17:00 17:35 18:10
Time
M. Ratio
b.2) Replicate 2
Sample : PT. SB 2
Initial Weight : 250.2 gr
Initial Moisture : 82.35969 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:35 250.2 82.35969 1
2 10:05 207.72 78.75214 0.95619762
3 10:40 181.23 75.64639 0.918487982
4 11:15 159.01 72.24322 0.877167218
5 11:50 136.95 67.77214 0.822879967
6 12:25 115.94 61.93199 0.751969633
7 13:00 99.93 55.83303 0.677916921
8 13:35 84.88 48.00182 0.582831474
9 14:10 74.52 40.77287 0.495058593
10 14:45 66.27 33.39964 0.405533878
11 15:20 60.28 26.78159 0.325178412
12 15:55 56.55 21.95216 0.266540055
13 16:30 54.03 18.31195 0.222341122
14 17:05 52.38 15.73873 0.191097434
15 17:40 51.27 13.91446 0.168947472
16 18:15 50.35 12.3415 0.14984877
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:35 10:05 10:40 11:15 11:50 12:25 13:00 13:35 14:10 14:45 15:20 15:55 16:30 17:05 17:40 18:15 Time
M. Ratio
b.3) Replicate 3
Sample : PT. SB 3
Initial Weight : 250.08 gr Initial Moisture : 82.35969 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:40 250.08 82.35969 1
2 10:10 211.03 79.09544 0.960365959
3 10:45 182.51 75.82878 0.920702634
4 11:20 156.08 71.73572 0.871005229
5 11:55 132.81 66.78346 0.810875559
6 12:30 112.61 60.82507 0.738529629
7 13:05 95.5 53.8064 0.653309899
8 13:40 81.58 45.92438 0.557607543
9 14:15 75.74 41.75484 0.506981461
10 14:50 63.63 30.66967 0.372386937
11 15:25 58.54 24.64146 0.299193253
12 16:00 54.91 19.65965 0.238704736
13 16:35 52.52 16.00364 0.194314014
14 17:10 51 13.50022 0.163917823
15 17:45 50 11.77023 0.142912455
16 18:20 49.17 10.28089 0.124829128
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:40 10:10 10:45 11:20 11:55 12:30 13:05 13:40 14:15 14:50 15:25 16:00 16:35 17:10 17:45 18:20
Time
M. Ratio
b.4) Replicate 4
Sample : PT. SB 4
Initial Weight : 250.16 gr Initial Moisture : 82.35969 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:45 250.16 82.35969 1
2 10:15 216.12 79.58125 0.966264581
3 10:50 189.15 76.66984 0.930914614
4 11:25 163.27 72.97176 0.886013108
5 12:00 138.82 68.21135 0.828212845
6 12:35 116.55 62.13728 0.754462293
7 13:10 99.56 55.67597 0.676010009
8 13:45 86.21 48.8122 0.592671043
9 14:20 75.53 41.57421 0.50478832
10 14:55 66.73 33.86932 0.411236673
11 15:30 59.54 25.88344 0.314273166
12 16:05 55.34 20.2584 0.245974742
13 16:40 52.41 15.80042 0.19184653
14 17:15 50.27 12.21603 0.148325406
15 17:50 49.09 10.10593 0.122704795
16 18:25 48.05 8.160251 0.09908064
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:45 10:15 10:50 11:25 12:00 12:35 13:10 13:45 14:20 14:55 15:30 16:05 16:40 17:15 17:50 18:25 Time
M. Ratio
b.5) Drying Kinetics of PT.SB Based on The Average Moisture Ratio
Minute
Rep 1 M. RatioRep 2 M. Ratio
Rep 3 M. Ratio
Rep 4 M. Ratio
Av. M .R atio
0' 1 1 1 1 1
30' 0.950226 0.956198 0.960366 0.966265 0.958263495
60' 0.914244 0.918488 0.920703 0.930915 0.921087302
90' 0.870204 0.877167 0.871005 0.886013 0.87609737
120' 0.806682 0.82288 0.810876 0.828213 0.817162541
150' 0.735634 0.75197 0.73853 0.754462 0.745148944
180' 0.642619 0.677917 0.65331 0.67601 0.662464036
210' 0.561584 0.582831 0.557608 0.592671 0.573673395
240' 0.46431 0.495059 0.506981 0.504788 0.492784504
270' 0.373077 0.405534 0.372387 0.411237 0.390558528
300' 0.28513 0.325178 0.299193 0.314273 0.305943668
330' 0.225467 0.26654 0.238705 0.245975 0.244171694
360' 0.182835 0.222341 0.194314 0.191847 0.197834237
390' 0.15196 0.191097 0.163918 0.148325 0.163825212
420' 0.129378 0.168947 0.142912 0.122705 0.140985664
450' 0.11129 0.149849 0.124829 0.099081 0.121262222
Average Moisture Ratio SB
0 0.2 0.4 0.6 0.8 1 1.2
0' 30' 60' 90' 120' 150' 180' 210' 240' 270' 300' 330' 360' 390' 420' 450'
Time (minutes)
M. Ratio
c. Drying Kinetics of Samples With Ascorbic Acid Pretreatment (PT. AA)
c.1) Replicate 1
Sample : PT.AA 1
Initial Weight : 250.14 gr Initial Moisture : 80.57712 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:30 250.14 80.57712 1
2 10:00 214.1 77.30761 0.95942392
3 10:35 187.13 74.03709 0.91883515
4 11:10 164.49 70.46362 0.87448668
5 11:45 144.7 66.42405 0.82435378
6 12:20 125.96 61.42871 0.76235923
7 12:55 111.23 56.32078 0.69896741
8 13:30 97.33 50.08281 0.62155132
9 14:05 86.58 43.88496 0.54463309
10 14:40 78.84 38.37595 0.47626368
11 15:15 73.61 33.99756 0.42192572
12 15:50 70.1 30.69273 0.38091122
13 16:25 67.73 28.26754 0.35081345
14 17:00 65.94 26.3203 0.32664727
15 17:35 64.63 24.82686 0.30811309
16 18:10 63.6 23.60944 0.29300425
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:30 10:00 10:35 11:10 11:45 12:20 12:55 13:30 14:05 14:40 15:15 15:50 16:25 17:00 17:35 18:10 Time
M. Ratio
c.2) Replicate 2
Sample : PT.AA 2
Initial Weight : 250.18 gr Initial Moisture : 80.57712 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:35 250.18 80.57712 1
2 10:05 214.14 77.30823 0.959431502
3 10:40 188.03 74.15723 0.920326126
4 11:15 166.74 70.85752 0.879375245
5 11:50 148.15 67.2007 0.833992322
6 12:25 130.38 62.73035 0.778513232
7 13:00 114.79 57.66864 0.715695013
8 13:35 101.19 51.97928 0.645087358
9 14:10 90.17 46.1105 0.572252972
10 14:45 81.63 40.47266 0.502284798
11 15:20 75.28 35.45143 0.439968901
12 15:55 71.08 31.63736 0.39263451
13 16:30 68.16 28.70868 0.356288195
14 17:05 65.81 26.16294 0.324694464
15 17:40 64.4 24.54633 0.304631463
16 18:15 63.27 23.19873 0.287907112
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:35 10:05 10:40 11:15 11:50 12:25 13:00 13:35 14:10 14:45 15:20 15:55 16:30 17:05 17:40 18:15
Time
M. Ratio
c.3) Replicate 3
Sample : PT.AA 3
Initial Weight : 250.17 gr Initial Moisture : 80.57712 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:40 250.17 80.57712 1
2 10:10 216.67 77.57409 0.96273098
3 10:45 192.43 74.74914 0.927672085
4 11:20 168.66 71.19043 0.883506755
5 11:55 146.84 66.90941 0.830377289
6 12:30 129.42 62.4554 0.775100915
7 13:05 112.04 56.63136 0.702821862
8 13:40 97.43 50.12807 0.622112933
9 14:15 86.16 43.60466 0.541154387
10 14:50 77.8 37.5447 0.465947405
11 15:25 72.07 32.57913 0.404322299
12 16:00 68.07 28.61727 0.355153807
13 16:35 65.54 25.86173 0.320956216
14 17:10 63.67 23.68427 0.293932972
15 17:45 62.28 21.98101 0.272794746
16 18:20 61.27 20.69492 0.256833674
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:40 10:10 10:45 11:20 11:55 12:30 13:05 13:40 14:15 14:50 15:25 16:00 16:35 17:10 17:45 18:20 Time
M. Ratio
c.4) Replicate 4
Sample : PT.AA 4
Initial Weight : 250.12 gr Initial Moisture : 80.57712 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:45 250.12 80.57712 1
2 10:15 211.23 77.00113 0.955620307
3 10:50 183.64 73.54579 0.912737898
4 11:25 159.56 69.55345 0.863191106
5 12:00 137.97 64.78908 0.804062953
6 12:35 118.08 58.85797 0.730455102
7 13:10 103.47 53.0487 0.658359331
8 13:45 91.53 46.92395 0.582348273
9 14:20 81.79 40.60336 0.503906816
10 14:55 73.48 33.88607 0.420542146
11 15:30 68.56 29.14161 0.361661101
12 16:05 65.03 25.29523 0.313925707
13 16:40 62.73 22.55617 0.279932733
14 17:15 60.93 20.26832 0.251539398
15 17:50 59.68 18.59834 0.230814119
16 18:25 58.73 17.28161 0.214472874
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:45 10:15 10:50 11:25 12:00 12:35 13:10 13:45 14:20 14:55 15:30 16:05 16:40 17:15 17:50 18:25
Time
M. Ratio
c.5) Drying Kinetics of PT.AA Based on The Average Moisture Ratio
Minute
Rep 1 M. RatioRep 2 M. Ratio
Rep 3 M. Ratio
Rep 4 M. Ratio
Av. M .R atio
0' 1 1 1 1 1
30' 0.9594239 0.959432 0.962731 0.95562 0.959301678
60' 0.9188351 0.920326 0.927672 0.912738 0.919892814
90' 0.8744867 0.879375 0.883507 0.863191 0.875139947
120' 0.8243538 0.833992 0.830377 0.804063 0.823196586
150' 0.7623592 0.778513 0.775101 0.730455 0.76160712
180' 0.6989674 0.715695 0.702822 0.658359 0.693960903
210' 0.6215513 0.645087 0.622113 0.582348 0.61777497
240' 0.5446331 0.572253 0.541154 0.503907 0.540486817
270' 0.4762637 0.502285 0.465947 0.420542 0.466259507
300' 0.4219257 0.439969 0.404322 0.361661 0.406969505
330' 0.3809112 0.392635 0.355154 0.313926 0.360656312
360' 0.3508135 0.356288 0.320956 0.279933 0.326997649
390' 0.3266473 0.324694 0.293933 0.251539 0.299203525
420' 0.3081131 0.304631 0.272795 0.230814 0.279088354
450' 0.2930043 0.287907 0.256834 0.214473 0.263054478
Average Moisture Ratio AA
0 0.2 0.4 0.6 0.8 1 1.2
0' 30' 60' 90' 120' 150' 180' 210' 240' 270' 300' 330' 360' 390' 420' 450'
Time (minutes)
M. Ratio
d. Drying Kinetics of Samples With Citric Acid Pretreatment (PT. AS)
d.1) Replicate 1
Sample : PT. AS 1
Initial Weight : 250.12 gr Initial Moisture : 87.23624 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:30 250.12 87.23624 1
2 10:00 200.86 84.10599 0.964118
3 10:35 169.73 81.19088 0.930701
4 11:10 145.76 78.09775 0.895244
5 11:45 125.4 74.54169 0.854481
6 12:20 104.72 69.51421 0.79685
7 12:55 90.55 64.74355 0.742163
8 13:30 75.92 57.94953 0.664283
9 14:05 64.6 50.58093 0.579816
10 14:40 56.77 43.76481 0.501682
11 15:15 51.4 37.88966 0.434334
12 15:50 48.66 34.39228 0.394243
13 16:25 46.7 31.63872 0.362679
14 17:00 45.45 29.7586 0.341127
15 17:35 44.61 28.43596 0.325965
16 18:10 43.85 27.19563 0.311747
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:30 10:35 11:45 12:55 14:05 15:15 16:25 17:35
Time
M. Ratio
d.2) Replicate 2
Sample : PT. AS 2
Initial Weight : 250.11 gr Initial Moisture : 87.23624 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:35 250.11 87.23624 1
2 10:05 207.89 84.64407 0.970285644
3 10:40 178.9 82.15571 0.941761211
4 11:15 156.52 79.60424 0.912513448
5 11:50 131.76 75.77152 0.868578516
6 12:25 114.26 72.0607 0.826040915
7 13:00 97.42 67.23112 0.770678824
8 13:35 81.85 60.99763 0.699223507
9 14:10 69.67 54.17907 0.621061529
10 14:45 59.98 46.77653 0.536205197
11 15:20 53.1 39.88053 0.457155502
12 15:55 49.08 34.95632 0.40070865
13 16:30 46.54 31.40645 0.360016041
14 17:05 44.87 28.85349 0.33075116
15 17:40 43.95 27.36419 0.313679112
16 18:15 43.11 25.94887 0.297455216
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:35 10:05 10:40 11:15 11:50 12:25 13:00 13:35 14:10 14:45 15:20 15:55 16:30 17:05 17:40 18:15
Time
M. Ratio
d.3) Replicate 3
Sample : PT. AS 3
Initial Weight : 250.12 gr Initial Moisture : 87.23624 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:40 250.12 87.23624 1
2 10:10 212.33 84.96458 0.973959626
3 10:45 184.47 82.69382 0.947929629
4 11:20 159.73 80.01332 0.917202812
5 11:55 137.96 76.85944 0.881049436
6 12:30 116.66 72.63439 0.832617196
7 13:05 97.11 67.1252 0.769464638
8 13:40 81.18 60.67416 0.695515539
9 14:15 68 53.05189 0.608140464
10 14:50 58.89 45.78924 0.524887823
11 15:25 51.95 38.54723 0.441871695
12 16:00 47.89 33.33741 0.382150875
13 16:35 45.33 29.57265 0.338995041
14 17:10 43.78 27.07922 0.310412533
15 17:45 42.72 25.26986 0.289671567
16 18:20 41.99 23.97067 0.274778784
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:40 10:10 10:45 11:20 11:55 12:30 13:05 13:40 14:15 14:50 15:25 16:00 16:35 17:10 17:45 18:20 Time
M. Ratio
d.4) Replicate 4
Sample : PT. AS 4
Initial Weight : 250.11 gr Initial Moisture : 87.23624 %
Points Time Weight (gr) Moisture (%) M. Ratio
1 9:45 250.11 87.23624 1
2 10:15 212.08 84.94745 0.973763355
3 10:50 187.19 82.94597 0.950820087
4 11:25 162.58 80.36447 0.921228068
5 12:00 138.51 76.95225 0.882113315
6 12:35 116.6 72.62141 0.832468323
7 13:10 97.7 67.32504 0.771755359
8 13:45 82.54 61.32367 0.702960985
9 14:20 69.56 54.10661 0.620230913
10 14:55 60.56 47.28626 0.542048366
11 15:30 53.88 40.75085 0.467132163
12 16:05 49.15 35.04895 0.401770548
13 16:40 46.33 31.09553 0.356451995
14 17:15 44.6 28.42278 0.325813904
15 17:50 43.62 26.81467 0.307379959
16 18:25 42.55 24.97429 0.286283416
Moisture Ratio
0 0.2 0.4 0.6 0.8 1 1.2
9:45 10:15 10:50 11:25 12:00 12:35 13:10 13:45 14:20 14:55 15:30 16:05 16:40 17:15 17:50 18:25 Time
M. Ratio
d.5) Drying Kinetics of PT.AS Based on The Average Moisture Ratio
Minute
Rep 1 M. RatioRep 2 M. Ratio
Rep 3 M. Ratio
Rep 4 M. Ratio
Av. M .R atio
0' 1 1 1 1 1
30' 0.964117504 0.970285644 0.97395963 0.97376335 0.970531532
60' 0.930701297 0.941761211 0.94792963 0.95082009 0.942803056
90' 0.895244363 0.912513448 0.91720281 0.92122807 0.911547173
120' 0.854480814 0.868578516 0.88104944 0.88211331 0.87155552
150' 0.79685017 0.826040915 0.8326172 0.83246832 0.821994151
180' 0.74216345 0.770678824 0.76946464 0.77175536 0.763515568
210' 0.664282762 0.699223507 0.69551554 0.70296099 0.690495698
240' 0.579815616 0.621061529 0.60814046 0.62023091 0.60731213
270' 0.501681543 0.536205197 0.52488782 0.54204837 0.526205732
300' 0.434333903 0.457155502 0.44187169 0.46713216 0.450123316
330' 0.394243036 0.40070865 0.38215088 0.40177055 0.394718277
360' 0.362678661 0.360016041 0.33899504 0.35645199 0.354535434
390' 0.341126572 0.33075116 0.31041253 0.3258139 0.327026042
420' 0.325965033 0.313679112 0.28967157 0.30737996 0.309173918
450' 0.311746923 0.297455216 0.27477878 0.28628342 0.292566085
Average Moisture Ratio AS
0 0.2 0.4 0.6 0.8 1 1.2
0' 60'
120' 180' 240' 300' 360' 420'
Time (minutes)
M. Ratio
0 0.2 0.4 0.6 0.8 1 1.2
0' 30' 60' 90' 120' 150' 180' 210' 240' 270' 300' 330' 360' 390' 420' 450'
Time (minutes)
M. Ratio
e. The Comparison of Drying Kinetics Between Pretreatments
ϒ
= Average Moisture Ratio for PTKON.
♦
= Average Moisture Ratio for PTSB.
↓
= Average Moisture Ratio for PTAA.
Appendix 3. Model Fitting of Drying Kinetics
Note : The experiment for the drying of each pretreatment was repeated four times and
the average of the moisture ratio at each value was used for drawing the drying curves.
a. For Drying Kinetics of Samples Without Pretreatment (PT.KON)
a.1) PT.KON-Single Exponential
◊◊
MR = exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.964
.93
1.000
.931
.87
1.500
.891
.81
2.000
.841
.75
2.500
.791
.70
3.000
.734
.65
3.500
.663
.61
4.000
.590
.57
4.500
.513
.53
5.000
.446
.49
5.500
.398
.46
6.000
.363
.42
6.500
.339
.40
7.000
.321
.37
7.500
.306
.34
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K
5.1 .0550735787 .142756162 6 .0550735787 .142756162 6.1 .0550734589 .142712391 7 .0550734589 .142712391 7.1 .0550734587 .142714346 8 .0550734587 .142714346 8.1 .0550734587 .142714259
Run stopped after 17 model evaluations and 8 derivative evaluations.
Iterations have been stopped because the relative reduction between successive residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 1 7.25881 7.25881 Residual 15 .05507 3.671564E-03 Uncorrected Total 16 7.31388
(Corrected Total) 15 .94881
R squared = 1 - Residual SS / Corrected SS = .94196
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .142714259 .007489294 .126751207 .158677311
Graph
8 6 4 2 0 -2 1.1
1.0
.9
.8
.7
.6
.5
.4
.3
Observation
a.2) PT.KON-Page
◊
MR = exp(-
kt
y)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.964
.98
1.000
.931
.94
1.500
.891
.89
2.000
.841
.83
2.500
.791
.77
3.000
.734
.71
3.500
.663
.65
4.000
.590
.59
4.500
.513
.54
5.000
.446
.48
5.500
.398
.43
6.000
.363
.38
6.500
.339
.34
7.000
.321
.30
7.500
.306
.26
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K Y
8 .0070434062 .066714987 1.48645070 8.1 .0070196740 .065969644 1.49529884 9 .0070196740 .065969644 1.49529884 9.1 .0070196499 .065967134 1.49540639 10 .0070196499 .065967134 1.49540639 10.1 .0070196499 .065966545 1.49541278 11 .0070196499 .065966545 1.49541278 11.1 .0070196499 .065966546 1.49541280
Run stopped after 24 model evaluations and 11 derivative evaluations. Iterations have been stopped because the relative reduction between successive residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 7.30686 3.65343 Residual 14 7.019650E-03 5.014036E-04 Uncorrected Total 16 7.31388
(Corrected Total) 15 .94881
R squared = 1 - Residual SS / Corrected SS = .99260
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .065966546 .006300953 .052452346 .079480745 Y 1.495412802 .057855324 1.371325475 1.619500130 _
Asymptotic Correlation Matrix of the Parameter Estimates
K Y
K 1.0000 -.9769 Y -.9769 1.0000
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
a.3) PT.KON-Henderson & Pabis
◊◊
MR =
a
exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.09
.500
.964
1.00
1.000
.931
.92
1.500
.891
.85
2.000
.841
.78
2.500
.791
.72
3.000
.734
.67
3.500
.663
.62
4.000
.590
.57
4.500
.513
.52
5.000
.446
.48
5.500
.398
.44
6.000
.363
.41
6.500
.339
.38
7.000
.321
.35
7.500
.306
.32
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A K
Run stopped after 19 model evaluations and 9 derivative evaluations.
Iterations have been stopped because the relative reduction between successive residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 7.28022 3.64011 Residual 14 .03366 2.404449E-03 Uncorrected Total 16 7.31388
(Corrected Total) 15 .94881
R squared = 1 - Residual SS / Corrected SS = .96452
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A 1.085582024 .029479695 1.022354367 1.148809680 K .162299927 .009199531 .142568895 .182030959
Asymptotic Correlation Matrix of the Parameter Estimates
A K
A 1.0000 .7431 K .7431 1.0000 _
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
a.4) PT.KON-Wang & Singh
◊◊
MR = 1+
at + bt
2Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.964
.95
1.000
.931
.90
1.500
.891
.85
2.000
.841
.80
2.500
.791
.75
3.000
.734
.70
3.500
.663
.65
4.000
.590
.60
4.500
.513
.55
5.000
.446
.50
5.500
.398
.45
6.000
.363
.40
6.500
.339
.35
7.000
.321
.30
7.500
.306
.25
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A B
1 3978.229979 .500000000 .500000000 1.1 .0196719539 -.09931228 -.00014875 2 .0196719539 -.09931228 -.00014875 2.1 .0196719539 -.09931230 -.00014874
Run stopped after 4 model evaluations and 2 derivative evaluations.
Iterations have been stopped because the relative reduction between successive residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 7.29421 3.64710 Residual 14 .01967 1.405140E-03 Uncorrected Total 16 7.31388
R squared = 1 - Residual SS / Corrected SS = .97927
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A -.099312275 .008538433 -.117625392 -.080999159 B -.000148748 .001424061 -.003203056 .002905560
Asymptotic Correlation Matrix of the Parameter Estimates
A B
A 1.0000 -.9684 B -.9684 1.0000
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
Model
b. For Drying Kinetics of Samples With Sodium Bisulfite Pretreatment (PT.SB)
b.1) PT.SB-Single Exponential
◊
MR = exp(-kt)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.958
.91
1.000
.921
.82
1.500
.876
.74
2.000
.817
.67
2.500
.745
.61
3.000
.662
.55
3.500
.574
.50
4.000
.493
.45
4.500
.391
.41
5.000
.306
.37
5.500
.244
.33
6.000
.198
.30
6.500
.164
.27
7.000
.141
.25
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K
1 1.410364963 .500000000 1.1 20.19674995 -.09592776 1.2 1.121665545 .440407224 2 1.121665545 .440407224 2.1 .6201430365 .341022614 3 .6201430365 .341022614 3.1 .1491858294 .200502691 4 .1491858294 .200502691 4.1 .1491317896 .199226625 5 .1491317896 .199226625 5.1 .1491311130 .199368464 6 .1491311130 .199368464 6.1 .1491311051 .199353165 7 .1491311051 .199353165 7.1 .1491311050 .199354820 8 .1491311050 .199354820 8.1 .1491311050 .199354641
Run stopped after 17 model evaluations and 8 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 1 6.02520 6.02520 Residual 15 .14913 9.942074E-03 Uncorrected Total 16 6.17433
(Corrected Total) 15 1.53972
R squared = 1 - Residual SS / Corrected SS = .90314
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
0.0
Model
Observation
b.2) PT.SB-Page
◊
MR = exp(-
kt
y)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.958
.98
1.000
.921
.94
1.500
.876
.89
2.000
.817
.81
2.500
.745
.73
3.000
.662
.65
3.500
.574
.56
4.000
.493
.48
4.500
.391
.40
5.000
.306
.33
5.500
.244
.27
6.000
.198
.21
6.500
.164
.16
7.000
.141
.13
7.500
.121
.10
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K Y
1.2 .4966409408 .417923622 .541049212 2 .4966409408 .417923622 .541049212 2.1 .3247171556 .308409205 .703756970 3 .3247171556 .308409205 .703756970 3.1 .1596518779 .156752587 1.06316498 4 .1596518779 .156752587 1.06316498 4.1 .5452575173 .037174657 1.67994784 4.2 .0608861859 .135764719 1.27215330 5 .0608861859 .135764719 1.27215330 5.1 .0547803020 .068157819 1.60669592 6 .0547803020 .068157819 1.60669592 6.1 .0045643886 .060006293 1.80371508 7 .0045643886 .060006293 1.80371508 7.1 .0041278753 .057326516 1.84223558 8 .0041278753 .057326516 1.84223558 8.1 .0041249514 .057154729 1.84504714 9 .0041249514 .057154729 1.84504714 9.1 .0041249463 .057139678 1.84523176 10 .0041249463 .057139678 1.84523176 10.1 .0041249463 .057138844 1.84524183 11 .0041249463 .057138844 1.84524183 11.1 .0041249463 .057138799 1.84524237
Run stopped after 24 model evaluations and 11 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 6.17021 3.08510 Residual 14 4.124946E-03 2.946390E-04 Uncorrected Total 16 6.17433
(Corrected Total) 15 1.53972
R squared = 1 - Residual SS / Corrected SS = .99732
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .057138799 .004190394 .048151298 .066126301 Y 1.845242369 .047134761 1.744148361 1.946336376 _
Asymptotic Correlation Matrix of the Parameter Estimates
K Y
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
0.0
Observation
Model
b.3) PT.SB-Henderson & Pabis
◊◊
MR =
a
exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.13
.500
.958
1.01
1.000
.921
.90
1.500
.876
.80
2.000
.817
.71
2.500
.745
.64
3.000
.662
.57
3.500
.574
.50
4.000
.493
.45
4.500
.391
.40
5.000
.306
.36
5.500
.244
.32
6.000
.198
.28
6.500
.164
.25
7.000
.141
.22
7.500
.121
.20
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A K
1.1 94505.00423 .967428435 -.72418014 1.2 2.455293768 .559189512 .392394700 2 2.455293768 .559189512 .392394700 2.1 1.265437273 .673863782 .263161742 3 1.265437273 .673863782 .263161742 3.1 .2334815634 .915269268 .170679798 4 .2334815634 .915269268 .170679798 4.1 .1046184933 1.14284291 .242774446 5 .1046184933 1.14284291 .242774446 5.1 .1014696037 1.13140057 .229826487 6 .1014696037 1.13140057 .229826487 6.1 .1013908297 1.13543642 .232067363 7 .1013908297 1.13543642 .232067363 7.1 .1013891680 1.13479443 .231738854 8 .1013891680 1.13479443 .231738854 8.1 .1013891308 1.13489005 .231787971 9 .1013891308 1.13489005 .231787971 9.1 .1013891300 1.13487579 .231780646 10 .1013891300 1.13487579 .231780646 10.1 .1013891300 1.13487791 .231781739 11 .1013891300 1.13487791 .231781739 11.1 .1013891300 1.13487760 .231781575
Run stopped after 23 model evaluations and 11 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 6.07294 3.03647 Residual 14 .10139 7.242081E-03 Uncorrected Total 16 6.17433
(Corrected Total) 15 1.53972
R squared = 1 - Residual SS / Corrected SS = .93415
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A 1.134877595 .055237774 1.016404354 1.253350836 K .231781575 .019990925 .188905305 .274657846 _
Asymptotic Correlation Matrix of the Parameter Estimates
A K
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
0.0
Observation
Model
b.4) PT.SB-Wang & Singh
◊◊
MR = 1+
at + bt
2Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.958
.94
1.000
.921
.88
1.500
.876
.82
2.000
.817
.76
2.500
.745
.69
3.000
.662
.63
3.500
.574
.57
4.000
.493
.50
4.500
.391
.44
5.000
.306
.37
5.500
.244
.31
6.000
.198
.24
6.500
.164
.18
7.000
.141
.11
7.500
.121
.04
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A B
1.1 .0337643829 -.12052926 -.00093309 2 .0337643829 -.12052926 -.00093309
Run stopped after 3 model evaluations and 2 derivative evaluations. Iterations have been stopped because the magnitude of the largest correlation
between the residuals and any derivative column is at most RCON = 1.000E-08
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 6.14057 3.07028 Residual 14 .03376 2.411742E-03 Uncorrected Total 16 6.17433
(Corrected Total) 15 1.53972
R squared = 1 - Residual SS / Corrected SS = .97807
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A -.120529257 .011186225 -.144521324 -.096537189 B -.000933094 .001865667 -.004934552 .003068364
Asymptotic Correlation Matrix of the Parameter Estimates
A B
A 1.0000 -.9684 B -.9684 1.0000
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
0.0
Observation
c. For Drying Kinetics of Samples With Ascorbic Acid Pretreatment (PT.AA)
c.1) PT.AA-Single Exponential
◊◊
MR = exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.959
.92
1.000
.920
.85
1.500
.875
.79
2.000
.823
.73
2.500
.762
.67
3.000
.694
.62
3.500
.618
.57
4.000
.540
.53
4.500
.466
.49
5.000
.407
.45
5.500
.361
.42
6.000
.327
.38
6.500
.299
.35
7.000
.279
.33
7.500
.263
.30
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K
Run stopped after 17 model evaluations and 8 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 1 6.74765 6.74765 Residual 15 .05436 3.624235E-03 Uncorrected Total 16 6.80202
(Corrected Total) 15 1.04971
R squared = 1 - Residual SS / Corrected SS = .94821
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .159606553 .008096974 .142348262 .176864843
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Obsevation
Model
c.2) PT.AA-Page
◊
MR = exp(-
kt
y)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.959
.97
1.000
.920
.93
1.500
.875
.87
2.000
.823
.81
2.500
.762
.74
3.000
.694
.68
3.500
.618
.61
4.000
.540
.55
5.000
.407
.44
5.500
.361
.39
6.000
.327
.34
6.500
.299
.30
7.000
.279
.26
7.500
.263
.22
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K Y
1 .6595493052 .500000000 .500000000 1.1 12.08025343 -.06887473 1.02518760 1.2 .4362797543 .432444621 .469208366 2 .4362797543 .432444621 .469208366 2.1 .2517219117 .311886458 .553579665 3 .2517219117 .311886458 .553579665 3.1 .1126211817 .175159170 .860422381 4 .1126211817 .175159170 .860422381 4.1 .2400876934 .056769839 1.38607450 4.2 .0360749213 .137509905 1.09078838 5 .0360749213 .137509905 1.09078838 5.1 .0543964742 .067887820 1.43022513 5.2 .0158474672 .107982020 1.24650517 6 .0158474672 .107982020 1.24650517 6.1 .0104312409 .074751836 1.45658730 7 .0104312409 .074751836 1.45658730 7.1 .0058313041 .078344790 1.46449781 8 .0058313041 .078344790 1.46449781 8.1 .0058257254 .077886892 1.46899922 9 .0058257254 .077886892 1.46899922 9.1 .0058257210 .077884641 1.46905284 10 .0058257210 .077884641 1.46905284 10.1 .0058257210 .077884355 1.46905559 11 .0058257210 .077884355 1.46905559 11.1 .0058257210 .077884353 1.46905562
Run stopped after 25 model evaluations and 11 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Regression 2 6.79619 3.39810 Residual 14 5.825721E-03 4.161229E-04 Uncorrected Total 16 6.80202
(Corrected Total) 15 1.04971
R squared = 1 - Residual SS / Corrected SS = .99445
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .077884353 .006243507 .064493362 .091275345 Y 1.469055616 .049412495 1.363076353 1.575034878 _
Asymptotic Correlation Matrix of the Parameter Estimates
K Y
K 1.0000 -.9738 Y -.9738 1.0000
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
Model
c.3) PT.AA-Henderson & Pabis
◊◊
MR =
a
exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.09
.500
.959
.99
1.000
.920
.91
1.500
.875
.83
2.000
.823
.76
2.500
.762
.69
3.000
.694
.63
3.500
.618
.58
4.000
.540
.53
4.500
.466
.48
5.500
.361
.40
6.000
.327
.37
6.500
.299
.34
7.000
.279
.31
7.500
.263
.28
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A K
1 3.714256583 .500000000 .500000000 1.1 2198911.625 .906875464 -.95423448 1.2 2.849716273 .562984475 .376813840 2 2.849716273 .562984475 .376813840 2.1 1.352554258 .682327592 .235899463 3 1.352554258 .682327592 .235899463 3.1 .1198885447 .919993431 .130106321 4 .1198885447 .919993431 .130106321 4.1 .0336328687 1.08748135 .183737938 5 .0336328687 1.08748135 .183737938 5.1 .0329622915 1.08674508 .179898404 6 .0329622915 1.08674508 .179898404 6.1 .0329603377 1.08733272 .180187099 7 .0329603377 1.08733272 .180187099 7.1 .0329603297 1.08729124 .180168568 8 .0329603297 1.08729124 .180168568 8.1 .0329603297 1.08729391 .180169764 9 .0329603297 1.08729391 .180169764 9.1 .0329603297 1.08729374 .180169686
Run stopped after 19 model evaluations and 9 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 6.76906 3.38453 Residual 14 .03296 2.354309E-03 Uncorrected Total 16 6.80202
(Corrected Total) 15 1.04971
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A 1.087293739 .029783697 1.023414061 1.151173417 K .180169686 .009747875 .159262573 .201076800
Asymptotic Correlation Matrix of the Parameter Estimates
A K
A 1.0000 .7324 K .7324 1.0000 _
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
Model
c.4) PT.AA-Wang & Singh
◊◊
MR = 1+
at + bt
2Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.959
.94
1.000
.920
.89
1.500
.875
.83
2.000
.823
.77
2.500
.762
.72
3.000
.694
.67
3.500
.618
.61
4.000
.540
.56
4.500
.466
.51
5.000
.407
.46
5.500
.361
.41
6.000
.327
.36
6.500
.299
.31
7.000
.279
.26
7.500
.263
.21
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS A B
1 3993.567121 .500000000 .500000000 1.1 .0191573342 -.11506573 .001271692 2 .0191573342 -.11506573 .001271692
Run stopped after 3 model evaluations and 2 derivative evaluations. Iterations have been stopped because the magnitude of the largest correlation
between the residuals and any derivative column is at most RCON = 1.000E-08
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 2 6.78286 3.39143 Residual 14 .01916 1.368381E-03 Uncorrected Total 16 6.80202
(Corrected Total) 15 1.04971
R squared = 1 - Residual SS / Corrected SS = .98175
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
A -.115065733 .008426005 -.133137716 -.096993750 B .001271692 .001405310 -.001742399 .004285783
Asymptotic Correlation Matrix of the Parameter Estimates
A B
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
0.0
Model
Observation
d. For Drying Kinetics of Samples With Citric Acid Pretreatment (PT.AA)
d.1) PT.AS-Single Exponential
◊◊
MR = exp(-
kt
)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.971
.93
1.000
.943
.87
1.500
.912
.81
2.000
.872
.76
2.500
.822
.71
3.000
.764
.66
3.500
.690
.61
4.000
.607
.57
4.500
.526
.53
5.000
.450
.50
5.500
.395
.46
6.000
.355
.43
6.500
.327
.40
7.000
.309
.38
7.500
.293
.35
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
1 2.413065988 .500000000 1.1 184.0946948 -.26603974 1.2 1.917371806 .423396026 2 1.917371806 .423396026 2.1 1.014683353 .302514726 3 1.014683353 .302514726 3.1 .0928552034 .147133131 4 .0928552034 .147133131 4.1 .0891130151 .139151159 5 .0891130151 .139151159 5.1 .0890888830 .139765220 6 .0890888830 .139765220 6.1 .0890888086 .139731017 7 .0890888086 .139731017 7.1 .0890888084 .139732978 8 .0890888084 .139732978 8.1 .0890888084 .139732866
Run stopped after 17 model evaluations and 8 derivative evaluations. Iterations have been stopped because the relative reduction between successive
residual sums of squares is at most SSCON = 1.000E-10
Nonlinear Regression Summary Statistics Dependent Variable MRATIO
Source DF Sum of Squares Mean Square
Regression 1 7.48562 7.48562 Residual 15 .08909 5.939254E-03 Uncorrected Total 16 7.57471
(Corrected Total) 15 1.02866
R squared = 1 - Residual SS / Corrected SS = .91339
Asymptotic 95 % Asymptotic Confidence Interval Parameter Estimate Std. Error Lower Upper
K .139732866 .009382670 .119734179 .159731553
Graph
8 6 4 2 0 -2 1.2
1.0
.8
.6
.4
.2
Observation
d.2) PT.AS-Page
◊
MR = exp(-
kt
y)
Time
MRatio
Predicted Values
.000
1.000
1.00
.500
.971
.99
1.000
.943
.95
1.500
.912
.91
2.000
.872
.86
2.500
.822
.80
3.000
.764
.74
3.500
.690
.67
4.000
.607
.61
4.500
.526
.55
5.000
.450
.49
5.500
.395
.43
6.000
.355
.38
6.500
.327
.33
7.000
.309
.28
7.500
.293
.24
Non-linear Regression
All the derivatives will be calculated numerically.
The following new variables are being created:
Name Label
PRED_ Predicted Values _
Iteration Residual SS K Y
10 .0089389148 .048290630 1.67726051 10.1 .0089388969 .048296626 1.67726051 11 .0089388969 .048296626 1.67726051