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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

    $!I(A( -A'A#E!'%

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 1

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 2

    %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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 3

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 4

     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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 5

     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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  >

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > /

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > -

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 10

    ,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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 11

    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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 12

    -// 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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     #e r m o 4 a r t i 4 o ; c o n < 1 = P 7 g i n a  > 12

    ? )raHca del #ermo4ar #i4o ;