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DETERMINACION POR DCCR
Numero de factores (n) 2
1.414213!
san"ua#a
$%
&a'or a'fa ()
- 2 0- 0 " 2
- 0 " 1
0 " 0
0 " 1
0 " 2
0 " 3
0 " !
0 " 5
0 " 6
0 " 7
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M o d e l : Y A = a * e x p ( - e x p ( b - c * T A ) )
y = ( , 6 1 0 8 5 7 ) * e x p ( - e x p ( ( 2 , 7 2 3 3 3 ) - ( , 0 3 0 3 9 5
: 1
: 2
: 3
: !
: 5
: 6
: 7
: 8
- 2 0 0 2 0 ! 0 6 0 8 0 1 0 0 1 2 0 1 ! 0
T A
- 0 " 2
- 0 " 1
0 " 0
0 " 1
0 " 2
0 " 3
0 " !
0 " 5
0 " 6
0 " 7
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( b - c * T A ) )
3 ) - ( , 0 3 0 3 9 5 ) * x ) )
: 8
: 9
: 1 0
: 1 1
: 1 2
1 2 0 1 ! 0 1 6 0 1 8 0 2 0 0 2 2 0
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Tiempo (h) N1 Log (N/No) N2 Log (N/No)
3 . 3 .
3! 2 *.14!1 3 *.!!+
4, 3 *.!!+ 3 *.!!+
! 4 .1+1 4 .,
-2 .14+ .14++! ! .2341 - .31
1, - .331 , .3+
12 + .433- 1 .4--1
144 1 .4--1 12 .31
1!, 14 .!21 12 .2,
1+2 12 .2, 12 .2,
24 14 .!21 13 .!++
21! 13 .!++
22,
24
Ensayos pH Umax TG
1 -.2+ 2.44 .1+ 3-.33234
2 -.2+ 4.! .23 3.!--,3
3 ,.-1 2.44 .2 2,.23-3,
4 ,.-1 4.! .2 2,.2,+-,
- 3. 0.022 31.5734
! + 3. 0.020 34.!2143
- , 2 .2, 24.,+2+
, , .2 2-.+11!
+ , 3. 0.037 1!."411!
1 , 3. .2 13.2141
11 , 3. .43 1!.112-1
12 , 3. 0.04! 14.41!45
#a$ame%$o&e'oia e $eimien%o (Umax)
*oe+ien%e # *oe+ien%e #
Intercepci 125!"801 0"00! -1"689!! .1,
(1) pH (L) -286"390 0"00! 0"!0177 .1,
pH (Q) 16"630 0"005 -0"02!76 .1,
(2) CS (L) -18"837 0"339 0"07091 .1!4
CS (Q) -0"550 0"619 -0"00859 .34
1L by 2L 3"061 0"202 -0"00135 .---
,-E L-G
Std.Err. Pure Err t(3) p
M $% & 125! 801 15! !7!1 8 1231 0 003900
*onen%$aionsangaa ()
,ase 'ag ()
RegressnCoeff.
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(1)p () -286"390 36"3297 -7"8831 0"00!25!
p (*) 16"630 2"231! 7"!530 0"005001
(2)+ () -18"837 16"5891 -1"1355 0"338683
+ (*) -0"550 0"9936 -0"5531 0"618768
1 by 2 3"061 1"8789 1"6291 0"201782
A,= 124.,1*2,!.3+$%/1!.!3$%$%*1,.,3-C*.
&EL*- E *E*6ENT (Umax)
Std.Err. Pure Err t(3) p
Mea#$%#&e'c" -1"689!! 0"359!!7 -!"70012 0"018220
(1)p () 0"!0177 0"08!536 !"75262 0"017679
p (*) -0"02!76 0"005192 -!"76858 0"017518
(2)+ () 0"07091 0"038601 1"83695 0"16353!
+ (*) -0"00859 0"002312 -3"71501 0"03392!
1 by 2 -0"00135 0"00!372 -0"309!6 0"777222
RegressnCoeff.
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N3 Log (N/No) N4 Log (N/No)
3 . 3 .
3 *.!!+ 2 *.14!1
! .2!,, 4 .,
- .31 ! .2341
- .31 , .3+1 .4--1 , .3,4
1 .4--1 11 .4+-3
11 .1!! 12 .2,
14 .!21 1! .!!1
1! .!!1 1 .!32
13 .!++ 1 .!4!3
1 .4--1 1 .!4!3
1 .!4!3
1, .-112
a
!.- 0"61 2"72 0"03
-.,+ 0"57 3"29 0"0!
3.-3 0"57 2"33 0"0!
41.13 0"66 2"53 0"0!
"4.04 0.556 3.529 0.039
55.!5 0.644 2.727 0.031
4.-4 0"53 3"16 0"05
43.3- 0"58 2"87 0"0!
37.14 0.644 3.145 0.058
43.,2 0"62 !"69 0"08
42.- 0"63 3"89 0"07
41.21 0.62 4.20 0.08
Tiempo e gene$aion (TG) *$eimien%o maximo (a)
*oe+ien%e # *oe+ien%e #
131,.- .2 .2,+2 .!+
*3.+3- .2 .11-++ .41
1,.24 .2 *.113, .1!+
*3.!42 .3 *.13!124 .11-
.-, .+ *.2,+4 .
2.22, .24+ .43+12 .,
TE6# E GENE-*N (TG)
-95! Cnf."#$t %95! Cnf."#$t
763 195 17!6 !06 M $% &
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-!02"007 -170"772 (1)p ()
9"529 23"732 p (*)
-71"631 33"957 (2)+ ()
-3"712 2"613 + (*)
-2"919 9"0!0 1 by 2
C/3.!1$%C
#8L-*N 6-96- (a)
-95! Cnf."#$t %95! Cnf."#$t
-2"83336 -0"5!552! Mea#$%#&e'c"
0"1327! 0"670798 (1)p ()
-0"0!128 -0"008235 p (*)
-0"0519! 0"193755 (2)+ ()
-0"01595 -0"001231 + (*)
-0"01527 0"012561 1 by 2
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N5 Log (N/No) N" Log (N/No) N7 Log (N/No)
3 . 3 . 3 .
2 *.14!1 3 *.!!+ 3 *.!!+
4 .1+1
3 . 4 ., .1+!3
4 .1+1 4 .1+1 - .331! .2341 - .31 1 .4+
, .3+ + .433- + .433-
, .3,4 + .412 1 .4--1
12 .2, 11 .1!! 13 .!++
11 .4+-3 12 .31 12 .31
1 .!4!3
1 .!4!3
1 .!4!3
1 .!32
Umax TG a
0"973 56"70 0"019 3-.33 .!1
0"991 57"89 0"023 3.!, .-
0"950 30"88 0"025 2-.+, .!
0"97! !1"13 0"025 2,.2+ .!!
0.969 66"55 0"02! 2+.4 .
0.991 62"16 0"023 2+.+3 .!3
0"985 !0"7! 0"028 24.,! .3
0"97! !3"37 0"025 2-.+1 .,
0.986 39"11 0"0!3 1!.24 .!2
0"983 !3"82 0"052 13.21 .!2
0"980 !2"07 0"0!3 1!.11 .!3
0.!2 !0"!1 0"0!! 1.+ .!4
Std.Err. Pure Err t(3) p -95! Cnf."#$t %95! Cnf."#$t
1318 570 128 !876 10 2622! 0 001973 909 665 1727 !75
RegressnCoeff.
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-300"937 30"2181 -9"95881 0"00215! -397"10! -20!"769
18"2!5 1"8560 9"83028 0"002238 12"338 2!"151
-53"6!2 13"798! -3"88753 0"030171 -97"55! -9"729
5"078 0"8265 6"1!!92 0"008669 2"!!8 7"709
2"228 1"5628 1"!2558 0"2!9227 -2"7!6 7"201
Std.Err. Pure Err t(3) p -95! Cnf."#$t %95! Cnf."#$t
0"250892 0"580772 0"!3200 0"69!910 -1"59738 2"099169
0"117959 0"136588 0"86362 0"!51320 -0"31672 0"5526!3
-0"015138 0"008389 -1"80!50 0"168917 -0"0!18! 0"011560
-0"13612! 0"062370 -2"18253 0"117071 -0"33!61 0"06236!
-0"02859! 0"003736 -7"65!56 0"00!631 -0"0!0!8 -0"016706
0"0!3912 0"00706! 6"21627 0"008391 0"021!3 0"066393
RegressnCoeff.
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N! Log (N/No) N Log (N/No) N10 Log (N/No)
3 . 3 . 3 .
3 *.!!+ 3 . 3 *.!!+
4 ., 4 .1+1 4 .,
.14+ , .3,4 , .3+
- .31 1 .4+ 1 .4--1+ .412 11 .1!! 11 .4+-3
1 .4--1 13 .!++ 13 .,!3
12 .2, 14 .!1-3 14 .!21
11 .4+-3 14 .!1-3 14 .!21
11 .1!! 1! .!!1 1! .!-34
1 .4--1 1, .-112 1- .!,!4
12 .2, 1! .!-34 1! .!!1
1! .!-34 1 .!32
1 .!32
1 .!32
e.'e//# oe"
Mea#$%#&e'c" 125!"801
(1) () -286"390
(*) 16"630
(2) () -18"837
(*) -0"550
1 by 2 3"061
++
(1) () 369"!78
(*) !!! 279
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(2) () 29"266
(*) 2"!!6
1 by 2 21"227
ac o 4& 167"927
'e ''o' 23"995
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N11 Log (N/No) N12 Log (N/No)
3 . 3 .
3 *.!!+ 3 *.!!+
4 ., 4 .1+1
, .3+ , .3,4
+ .433- 1 .4+11 .4+-3 11 .1!!
13 .!++ 13 .,!3
14 .!1-3 14 .!1-3
14 .!21 14 .!1-3
1! .!!1 13 .,!3
1- .!++ 1, .-112
1- .!,!4 1! .!!1
13 .,!3
+&d"''" 'e '' &(3) p -95" #"4& 95" #"4&
15!"!7!1 8"12305 0"003900 763"195 17!6"!06
36"3297 -7"88307 0"00!25! -!02"007 -170"772
2"231! 7"!5301 0"005001 9"529 23"732
16"5891 -1"135!8 0"338683 -71"631 33"957
0"9936 -0"55306 0"618768 -3"712 2"613
1"8789 1"62909 0"201782 -2"919 9"0!0
d M+ p
1 369"!782 !6"19523 0"006512
1 !!! 2787 55 5!7!1 0 005001
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1 29"2663 3"65911 0"151696
1 2"!!6! 0"30587 0"618768
1 21"2267 2"65393 0"201782
3 55"9757 6"99855 0"072166
3 7"9982
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-N&- ,ase Lag
SS df &S '
(1)p (") 369"!78 1 369"!782 52"387!2
p () !39"288 1 !39"2876 62"28552
(2)CS (") 29"266 1 29"2663 !"1!959
CS () 2"831 1 2"8312 0"!01!2
1" *+ 2" 21"227 1 21"2267 3"00968", of '#t 167"921 3 55"9738 7"93638
Pure Error 21"158 3 7"0528
/ot, SS 1083"835 11
SS df &S '
6oe'o 1!2.- , 132.,3 1!.!3
esios 21"2 3 -. 6-
To%a' 1083"8 11
a .+,4-,2 !.0
E$$o$ .1+21, 2.0
-N&- TG
SS df &S '
(1)p (") 369"!78 1 369"!782 52"387!2
p () !!!"279 1 !39"2876 62"28552
(2)CS (") 29"266 1 29"2663 !"1!959
CS () 2"831 1 2"8312 0"!01!2
1" *+ 2" 21"227 1 21"2267 3"00968
", of '#t 167"921 3 55"9738 7"93638
Pure Error 21"158 3 7"0528
/ot, SS 1083"835 11
SS df &S '
6oe'o 1!2.- , 132.,3 1!.!3
esios 21"2 3 -. 6-
To%a' 1083"8 11
a .+,4-,2 !.0
E$$o$ .1+21, 2.0
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-N&- Umax
p SS df &S
0"005!!0 (1)p (") 0"0000 1"0000 0"0000
0"00!2!0 p () 0"0010 1"0000 0"0010
0"13!!27 (2)CS (") 0"0000 1"0000 0"0000
0"571360 CS () 0"0006 1"0000 0"0006
0"181178 1" *+ 2" 0"0000 1"0000 0"00000"061371 ", of '#t 0"0000 3"0000 0"0000
Pure Error 0"0001 3"0000 0"0000
/ot, SS 0"0015 11"0000
' t,*, SS df &S
!.!5 6oe'o .14 ,. .2
esios 0"0001 3. .
To%a' 0"0015 11.
a .+234!,,2 2.3
E$$o$ .-!311, 7.7
p
0"005!!0
0"00!2!0
0"13!!27
0"571360
0"181178
0"061371
' t,*,
!.!5
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' p
0"0818 0"7935
26"120! 0"01!5
0"000! 0"9861
15"9387 0"0281
0"1079 0"76!10"2178 0"8787
' ' t,*,
4.5250 !.!452
6-:
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4 & & e d + ' a c e ; a ' 4 a b l e : a
2 a c & o ' / , 1 < l o c / , 1 2 # / M + e / 4 d a l =
; : a
> b / e ' ? e d ? / " ' e d 4 c & e d ; a l e /
2 a c & o ' / , 1 < l o c / , 1 2 # / M + e / 4 d a l = 3 1 , 9 8 6 9 !
; : a / e A
2 5 3 0 3 5 ! 0 ! 5 5 0 5 5 6 0
> b / e ' ? e d ; a l e /
3 0
3 5
! 0
! 5
5 0
5 5
6 0
6 5
7 0
7 5
1'ed4c&ed;
al5e/
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a ' 4 a b l e : a
+ e / 4 d a l = , 0 0 0 ! ! 3 7
0 , 6 5
0 , 6
0 , 5 5
0 , 5
0 , ! 5
0 , !
3 1 , 9 8 6 9 !
5 5 6 0 6 5 7 0
2 a c & o ' / , 1
0 , 5 0 0 , 5 2 0 , 5 !
0 , 5 2
0 , 5 !
0 , 5 6
0 , 5 8
0 , 6 0
0 , 6 2
0 , 6 !
0 , 6 6
0 , 6 8
1'ed4c&ed;
al5e/
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4 & & e d + ' a c e ; a ' 4 a b l e : a
2 a c & o ' / , 1 < l o c / , 1 2 # / M + e / 4 d a l = , 0 0 0 ! ! 3 7
; : a
6 , 8 7 , 0 7 , 2 7 , ! 7 , 6 7 , 8 8 , 0 8 , 2 8 , ! 8 , 6 8 , 8 9 , 0 9 , 2
p
1 , 5
2 , 0
2 , 5
3 , 0
3 , 5
! , 0
! , 5
5 , 0
5 , 5
+
> b / e ' ? e d ? / " ' e d 4 c & e d ; a l e /
2 a c & o ' / , 1 < l o c / , 1 2 # / M + e / 4 d a l = , 0 0 0 ! ! 3 7
; : a
0 , 5 2 0 , 5 ! 0 , 5 6 0 , 5 8 0 , 6 0 0 , 6 2 0 , 6 ! 0 , 6 6 0 , 6 8> b / e ' ? e d ; a l e /
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0 , 6 5
0 , 6
0 , 5 5
0 , 5
0 , ! 5
0 , !8 , 8 9 , 0 9 , 2
y = ( ,
: 1
: 2
: 3
- 2 0 0 2 0 ! 0
- 0 , 2
- 0 , 1
0 , 0
0 , 1
0 , 2
0 , 3
0 , !
0 , 5
0 , 6
0 , 7
0 , 8
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M o d e l : Y A = a * e x p ( - e x p ( b - c * T A ) )
y = ( , 6 5 9 7 2 9 ) * e x p ( - e x p ( ( 2 , 5 2 7 5 9 ) - ( , 0 3 7 1 3 9 ) * x ) )
: 2
: 3
: !
: 5 : 6
: 7
: 8
: 9 : 1 0 : 1 1 : 1 2 : 1 3
: 1 !
2 0 ! 0 6 0 8 0 1 0 0 1 2 0 1 ! 0 1 6 0 1 8 0 2 0 0 2 2 0 2 ! 0
T A
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3
: 1 !
2 0 2 ! 0
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$0c Cc $0 c
-1"00000 -1"00000 -.2+2,+322 2.44
-1"00000 1"00000 -.2+2,+322 4.!
1"00000 -1"00000 ,.--1!-, 2.44
1"00000 1"00000 ,.--1!-, 4.!
-1"!1!21 0"00000 - 3.1"!1!21 0"00000 + 3.
0"00000 -1"!1!21 , 2
0"00000 1"!1!21 ,
0"00000 0"00000 , 3.
0"00000 0"00000 , 3.
0"00000 0"00000 , 3.
0"00000 0"00000 , 3.
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++ d M+
(1) () 369"!78 1 369"!782 !6"19523
(*) !!!"279 1 !!!"2787 55"5!7!1
(2) () 29"266 1 29"2663 3"65911
(*) 2"!!6 1 2"!!6! 0"30587
1 by 2 21"227 1 21"2267 2"65393ac o 4& 167"927 3 55"9757 6"99855
'e ''o' 23"995 3 7"9982
To&al ++ 1090"523 11
++ d M+
MODEO 1!4.,2 - 12.11-1! 22.++!3,-
REIDO 2!.441 4 !.!1243,
TOTA 1+.23 11
R2 .+--3,!
error tota5 .2424!14 6
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p
0"006512
0"005001
0"151696
0"618768
0"2017820"072166
p &abla
.4444+, !.+421+3