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Fecha de Entrega:15/ ABRIL /2016
Elementos Primarios de Medicin
I!"#I#$#% P%LI#&'!I'% !A'I%!ALE"'$ELA "$PERI%R (E I!)E!IER*A ME'+!I'A , EL&'#RI'A
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Pro.esor: M en ' Ren #olentino Eslaa
E3i4o )r34o: 5AM1Integrantes:Arriola 'astillo Emman3el AleandroBernardino (3r7n E.rn8ern7nde9 )3errero RolandoM7r3e9 Arreola Armando%iedo +ngeles 'arlos 8ernilleda Resndi9 (iego
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TERMOPAR TIPO J............................................2
ECUACIÓN DEL TERMOPAR TIPO J......................3
ECUACIÓN INVERSA DEL TERMOPAR TIPO J........6
TABLA DEL TERMOPAR TIPO J ∆13...................10
GRAFICA DEL TERMOPAR TIPO J ∆13................12
GRAFICA DEL TERMOPAR TIPO J ∆1.................12
? #ermo4ar #i4o ;
Los termo4ares est7n dis4oni@les en di.erentes .ormatos como sondasEstas ltimas son ideales 4ara ariadas a4licaciones de medicin 4or
eem4lo en la inestigacin mdica sensores de tem4erat3ra 4ara losalimentos en la ind3stria C en otras ramas de la ciencia etc
A la hora de seleccionar 3na sonda de este ti4o de@e tenerse enconsideracin el ti4o de conector Los dos ti4os son el modeloDest7ndar con 4ines redondos C el modelo Dminiat3ra con 4ineschatos siendo estos ltimos contradictoriamente al nom@re de los4rimerosG los m7s 4o43lares
http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439084http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439085http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439087http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439088http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439088http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439087http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439085http://var/www/apps/conversion/tmp/scratch_7/HYPERLINK%23_Toc448439084
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%tro 43nto im4ortante en la seleccin es el ti4o de termo4ar elaislamiento C la constr3ccin de la sonda #odos estos .actores tienen 3ne.ecto en el rango de tem4erat3ra a medir 4recisin C Ha@ilidad en laslect3ras
#i4o ; hierro/constant7nG: s3 rango de 3tili9acin es de 2J0/K1200 '(e@ido a s3s caractersticas se recomienda s3 3so en atms.erasinertes red3ctoras o en aco s3 3so contin3ado a N00 ' no 4resenta4ro@lemas s3 4rinci4al inconeniente es la r74ida oOidacin 3e s3.re elhierro 4or encima de 550 ' C 4or de@ao de 0 ' es necesario tomar4reca3ciones a ca3sa de la condensacin de a4or de ag3a so@re elhierro
? Ec3acin del #ermo4ar ti4o ;
E=∑i=0
n
C iT
i
(onde:
EQ .em en m #Q tem4erat3ra en '
Para tem4erat3ras de 210' a J60'
nQ NC 0=0.000000000000 X 10
0
C 1=0.503811878150 X 10−1
C 2=0.304758369300 X 10−4
C 3=−0.856810657200 X 10−7
C 4=0.132281952950 X 10−9
C 5=−0.170529583370 X 10−12
C 6=0.209480906979 X 10−15
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C 7=−0.125383953360 X 10−18
C 8=0.156317256970 X 10−22
Para tem4erat3ras de J60 a 1200nQ5C 0=0.296456266810 X 10
3
C 1=−0.149761277860 X 101
C 2=0.317871039240 X 10−2
C 3=−0.318476867010 X 10−5
C 4=0.157208190040 X 10−6
C 5=−0.306913690560 X 10−12
Eem4lo 4ara tem4erat3ras de 210' a J60'
E−210=∑i=0
8
C i(−210)i
E−210=(0) (−210)0
+ (0.503811878150 X 10−1 ) (−210 )1+(0.304758369300 X 10−4 ) (−210)2+(−0.856
E−210=−8.095379649303430mV
E−9=∑i=0
8
C i(−9)i
E−9= (0 ) (−9 )0
+(0.503811878150 X 10−1 ) (−9 )1+(0.304758369300 X 10−4 ) (−9 )2+(−0.8568106572
E−9=−0.450898807963338mV
E357=∑
i=0
8
C i(357)i
E357=(0 ) (357)0
+(0.503811878150 X 10−1) (357 )1+(0.304758369300 X 10−4 ) (357 )2+ (−0.85681065
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E357=19.476708821058804mV
E760=∑
i=0
8
C i(760)i
E760=(0 ) (760)0
+(0.503811878150 X 10−1 ) (760)1+(0.304758369300 X 10−4 ) (760)2+(−0.85681065
E760=42.918641333416524mV
Eem4los 4ara tem4erat3ras de J60' a 1200'
E760=∑
i=0
5
C i(760)i
E760=(0.296456266810 X 103 ) (760)0+(−0.149761277860 X 101 ) (760)1+(0.317871039240 X 10−2 )
E760=42.918641408346076mV
E906=∑
i=0
5
C i(906)i
E906=(0.296456266810 X 103 ) (906 )0+(−0.149761277860 X 101 ) (906)1+(0.317871039240 X 10−2 )
E906=52.251291128640645mV
E1053
=∑i=0
5
C i(1053)i
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E1053=(0.296456266810 X 103 ) (1053 )0+ (−0.149761277860 X 101 ) (1053 )1+ (0.317871039240 X 10
E1053
=61.065158007103264mV
E1200
=∑i=0
5
C i(1200)i
E1200=(0.296456266810 X 103 ) (1200 )0+ (−0.149761277860 X 101 ) (1200 )1+ (0.317871039240 X 10
E1200
=69.553179788381613mV
Te!e"#$%"# &'C( V)*$#+e &V(,210 −8.095379649303430
,- −0.450898807963338
35 19.476708821058804
60 &,210 # 60( 42.918641333416524
60 &60 # 1200( 42.918641408346076
-06 52.251291128640645
1053 61.065158007103264
1200 69.553179788381613
? Ec3acin inersa del termo4ar ti4o ;
T =∑i=0
n
di E
i
(onde:
# Q tem4erat3ra en 'E Q .em en mnQ N
Para oltaes de N0S5 m a 0 m
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#e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a > 6
d0=0.0000000 X 100
d1=1.9528268 X 101
d2=−1.2286185 X 100
d3=−1.0752178 X 100
d4=−5.9086933 X 10−1
d5=−1.7256713 X 10−1
d6=−2.8131513 X 10−2
d7=−2.3963370 X 10−3
d8=−8.3823321 X 10−5
Para oltaes de 0 m a 2S1S m
d0=0.0000000 X 100
d1=1.978425 X 101
d2=−2.001204 X 10−1
d3=
1.036969 X 10−2
d4=−2.549687 X 10−4
d5=3.585153 X 10−6
d6=−5.344285 X 10−8
d7=5.099890 X 10−10
d8=0.000000 X 100
Para oltaes de 2S1S m a 6S55= m
d0=−3.11358187 X 103
d1=3.00543684 X 102
d2=−9.94773230 X 100
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d3=1.70276630 X 10−1
d4=−1.43033468 X 10−3
d5=4.73886084 X 10−6
d6=0.00000000 X 100
d7=0.00000000 X 100
d8=0.00000000 X 100
Eem4lo 4ara oltaes de N0S5 m a 0 m
T −8.095=∑i=0
8
di(−8.095)i
T −8.095= (0 ) (−8.095 )0
+(1.9528268 X 101 ) (−8.095 )1+(−1.2286185 X 100 ) (−8.095 )2+ (−1.0752178 X
T −8.095=−209.9547328675949 °C
T −1=∑i=0
8
di(−1)i
T −1= (0 ) (−1 )0
+(1.9528268 X 101 ) (−1 )1+(−1.2286185 X 100 ) (−1 )2+(−1.0752178 X 100 ) (−1)3+ (−5
T −1=−20.125789899320999 °C
Eem4lo 4ara oltaes de o m a 2S1S m
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T 23=∑
i=0
8
di(23)i
T 23= (0 ) (23 )0
+ (1.978425 X 101) (23)1+(−2.001204 X 10−1) (23)2+(1.036969 X 10−2 ) (23 )3+(−2.5496
T 23=420.8916187832255° C
T 42.919
=∑i=0
8
di(42.919)i
T 42.919= (0 ) (42.919 )0
+(1.978425 X 101) (42.919 )1+ (−2.001204 X 10−1) (42.919 )2+ (1.036969 X 10−2)
T 42.919
=760.0431040129167 ° C
Eem4lo con oltaes de 2S1S m a 6S55= m
T 42.919
=∑i=0
8
di(42.919)i
T 42.919= (−3.11358187 X 103 ) (42.919 )0+(3.00543684 X 102 ) (42.919 )1+(−9.94773230 X 100 ) (42.91
T 42.919
=759.9756054684317 ° C
T 69.553
=∑i=0
8
di(69.553)i
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T 69.553=(−3.11358187 X 103 ) (69.553 )0+(3.00543684 X 102 ) (69.553 )1+(−9.94773230 X 100) (69.55
T 69.553
=1199.960286120804° C
V)*$#+e &V( Te!e"#$%"# &'C(,/.0-5 −209.9547328675949
,1 −20.125789899320999
23 420.8916187832255
4-.-1- &0 4-.-1-( 760.0431040129167
4-.-1- &4-.-1- 6-.553( 759.9756054684317
6-.553 1199.960286120804
? #a@la del termo4ar ti4o ;
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,130 5N0106JJ01JJN020
,11 5=110NNN2NS20
,104 JS5N056NSN10NN0
,-1 25JS001S=61N00
,/ =6SN21S=651J56J0
,65 =11SS110=6=SSN50,52 252==1=5JNS00
,3- 1S1=10JNSNNN5N0
,26 12NJJ0J5NN110
,13 06S612S11210
0 0
13 065SS21==2526J
26 1=2S065105N0==J
3- 20062NS1N20=26
52 26S10NJ=5N55J0
65 ==N21N60SJ12N2J/ 0JNS=65NS6000S
-1 JN0611=526J6
104 5N65=SJJJS21N
11 61S6101S166J
130 6S0NJ=JNN60N60J
143 J62=S1SN15=2NS
156 N=11J6S516=S
16- S06006SJ0=616S=
1/2 SJN021=0065S12=
1-5 10501252=225666020/ 11222NJ=J==NJ0
221 11SN00JJN1N50
234 12666JS=5NSS2=J0
24 1==NN6N=NJNNSN0
260 11101S6S5=21SJ0
23 1N=1=0625N5N=N0
2/6 15551NJN156N0J0
2-- 162J1NS10J1JJ0
312 16SS11NSS1001J0
325 1JJ0SS05215250
33/ 1N2N0=2=016=00
351 1S156N2262NSN0
364 1SN62N52115NJNJ0
3 205JSJN2J6N0SJ0
3-0 212S660N2=1J6=0
403 2201=52JJ1J0260
416 22J=0J6N500=S10
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42- 2=N5N62J0S=0
442 216J26=2S106NS0
455 2NNJ1050N005J0
46/ 2560N=SJ=5N5J00
4/1 26==1615N6J1J=0
4-4 2J056SS==6N0=S050 2JJNS5=2NS1J5N0
520 2N515NN06N166S0
533 2S25016J6151JJ20
546 2SSNN20J05S=250
55- =0J=0=NJSN66N=0
52 =1JJ0NSSS5605N0
5/5 =222N6JJ=S1N520
5-/ =2SN5S2JS1SS1S0
611 ==JJN5021J26SN0
624 =51602J6=6J51063 =51602J6=6J510
650 =60J0J25S5S6610
663 =6N5J56J=S156=0
66 =J650JJ06JN=0060
6/- =N50=6=0=0SNS0
02 =S2561SN12151S0
15 006N0=5=1SJN10
2/ 0NN55515515J60
41 1J0N2=0S56J0
54 25=5500J512SS606 ==66S165J265=0
/0 20=01206JJ0
-3 50200660J=N0
/06 5NN21NJS5=2000
/1- 6J21NN2SSS126J0
/32 J55SJN6=5N=0
/45 N=SJ6JN20J660
/5/ S225S0SS05=01S0
/1 50052JJ02NJ22S0
//4 50NJ=S1005=10J0
/- 516NSN1265JJ6=0
-10 52SSS=1115JJ0
-23 5==015S2J122500
-36 5102S2N6NS6=0
-4- 5NS506=JJ1JJ0
-62 556N202061260
-5 566=J10N=N55250
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-// 5J20552651S60
1001 5N01265S2NN0=N00
1014 5NJN0J62N615N0
102 5S552=05066200
1040 60=065=JS60=6110
1053 6106515N00J10=201066 61N215J2211SN=0
10- 625J61=2106N2SN0
10-2 6==2S2S55J6=J0
1105 60N1=626N126150
111/ 6N=25NN126S000
1131 655N=1106S=6N0
1144 66===0S=J2J=1==0
115 6J0N2020N6J6S0
110 6JN=0S0621=N=2N0
11/3 6N5JN2S=6J2J52=011-6 6S=210J0JSN0=6
1200 6S55=1JSJNN=N161
=
? )raHca del #ermo4ar #i4o ;
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? )raHca del #ermo4ar #i4o ;