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7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 1/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 3 ij ?6
SuímndcMns sh`udnhajs c `hs prho`jmcs ij ^cghh _jspujstcs#
Nócln Dcrrcsdc` Mhzh! bísndcsKycghh!js gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs(
v3!;5 ;6(;?(?;34! Õ`tnmc cdtuc`nzcdnôa5 v3!;5 ;6(;?(?;34
Nócln Dcrrcsdc` Mhzh! Rjrsnôa 3!; — Drjcih j` ;6(;?(?;34! Suímndc dhatnjaj 96 prjfuatcs ja ?6 pãfnacs
Ja`cdj '@nal. ij` ihdumjath gttp5((js!sdrnoi!dhm(N*D4*O3clnDcrrcsdc`
[ujsth 4µ ja ‐@hs mjehrjsij Bísndc”!
>4 * Mjehr _jspujstc!
73 bcas!
Anvj` 6! ?:!27; puaths!
36:> prjfuatcs ';6(;?(?;34.
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 2/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac ? ij ?6
J` 33 ij hdtuorj ij ?;3? mj gndj mnjmorh ij ^cghh# _jspujstcs y mj pusj c rjsh`vjr
jejrdndnhs quj p`catjcoc `c dhmuanici! Mj fustcoc j` p`catjcmnjath ij quj c`fuac iuic quj tuvnjrc
c`funja puinjrc rjsh`vjr`c uah h vcrnhs dhmpcójrhs c trcvîs ij natjrajt! Ja 'jxcdtcmjatj. ua mjs
c`dcadî j` Anvj` 2 'supjrcaih `hs 3;!;;; puaths.! ^ ja 'eustcmjatj. ihs mjsjs gj supjrcih `hs
36!;;; puaths y mj gj dh`cih gcstc j` 4µ pujsth ij `hs ‐Mjehrjs ij Bísndc”! Ijsij j` ;6 ijbjorjrh ij ?;34 hduph j` Anvj` 6!
Gj snih ‐Dh`cohrcihr ijstcdcih” ja Bísndc, Mctjmãtndcs, Nafjanjríc y Thbtwcrj! Ijsij
j` ?4 ij ahvnjmorj jsthy jatrj `hs 3; prnmjrhs pujsths ij ‐@hs mjehrjs ij Bísndc”, j` ;4 ij
indnjmorj hdupî j` 6µ pujsth, j` 3: ij indnjmorj j` :µ `ufcr y j` ;6 ij bjorjrh ij ?;34, j` tjrdjr
pujsth! Gj c`dcazcih ua >4 * ij Mjehr _jspujstc!
C bjdgc ;6(;?(?;34 ``jvh dhatjstcics 36:> prjfuatcs, dha ?:!27; puaths 'anvj` 6., tjafh ua
>4 * ij Mjehr _jspujstc, hduph `c 4ª phsndnôa ij ‐@hs Mjehrjs ij Bísndc” y tjafh 73 ‐bcas”!
C dhatnaucdnôa prjsjath uacs ducatcs prjfuatcs ij cghh# _jspujstcs quj yh mnsmh
rjsh`ví, dha `c bjdgc ja quj `h gndj! Ja `c mcyhríc ij j``cs gj rjspjtcih `c prjfuatc hrnfnac`! Sunzã
gcyc dhrrjfnih c`fuac bc`tc ij hrthfrcbíc h mjehrcih ua phdh j` jauadncih pcrc gcdjr`h mcs d`crh!
Dha j` tnjmph nrî hrijacaih `hs jejrdndnhs phr hrija ij inbndu`tci drjdnjatj!
Cuaquj mudghs prho`jmcs pujija rjsh`vjrsj ij htrc bhrmc, drjh quj `cs rjspujstcs quj gj
icih sha `c mcajrc mãs cijducic ij gcdjr`h, bruth ij cóhs ij ihdjadnc ij Bísndc y Mctjmãtndcs canvj` uanvjrsntcrnh!
@cs rjspujstcs jstãa tc` y dhmh `cs rjsphaií ja su mhmjath, dha j` 'sjadn``h. jinthr ij
tjxths ij cghh! Gj prhdurcih phajr pcrîatjsns pcrc d`crnbndcr `cs mnsmcs! @cs phtjadncs `cs naindh
dha5 Q ':Q9.< `c rcíz ducircic, dha Q'3(?., dha TS_Y h dha ‐rcíz” 'je! rcíz '?. = ?Q'3(?..< `c natjfrc`
dhmh ‐natjfrc`”! Ah pujih jmp`jcr suoíaindjs 'je! rcinh ij `c Ynjrrc5 _Y< îpsn`ha suo h.!!!
Tn c`fuac ij `cs rjspujstcs js nadhrrjdtc, quj pujij, pujs thihs shmhs gumcahs y ij vjz ja
ducaih ahs dhabuainmhs, phiîns dhmuandãrmj`h phr dhrrjh j`jdtrôandh5 bísndcsKycghh!js !
_jvnscrî mn rjspujstc y `c quj mj nainquîns y `c dhrrjfnrî sn js ajdjscrnh!
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 3/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 4 ij ?6
J` 37(33(?;3? mj cfrjfuî c` bhrh3;;dnc y j` ;>(3?(?;3? c` Fruph ij Bcdjohhl
Cyuiîmhsahs ja mctjmãtndcs phr `h quj tcmonîa gj nad`unih mns rjspujstcs c jejrdndnhs quj gj
rjsuj`th c trcvîs ij` bhrh h ij Bcdjohhl!
Gj rjuanih thihs `hs 96 prho`jmcs ij Suímndc ja ua sh`h `norh ij ?6 pãfnacs! Ycmonîa `hs
ij Mctjmãtndcs ja ua sh`h tjxth! @hs ij Bísndc, ja ihs5
— Bísndc N, ihaij sj cac`nzca `hs tjmcs ij dnajmãtndc, jstãtndc, inaãmndc, trcoceh y jajrfíc,
snstjmcs ij pcrtídu`cs y dghqujs, inaãmndc ij `c rhtcdnôa, dcmph frcvntcthrnh, b`unihs,
mhvnmnjath crmôandh snmp`j y mhvnmnjath haiu`cthrnh! :74 prjfuatcs, ja ?>2 pãfnacs!— Bísndc NN, ihaij sj cac`nzca `hs tjmcs dhrrjsphainjatjs c `c j`jdtrndnici y mcfajtnsmh,
ôptndc y bísndc mhijrac! J` sjfuaih thmh tnjaj ?;; prjfuatcs ja 3;2 pãfnacs!
C` dhmnjazh ij dcic dcpítu`h, naindh `cs bôrmu`cs mãs usuc`js quj cpcrjdjrãa ja j` mnsmh!
Dha j` tnjmph qunzã jxp`nquj dômh uscr`cs y dômh rjsh`vjr ijtjrmnacihs ‐prho`jmcs mhij`h”! Ah
js ua `norh ij tjhríc, snah ij prho`jmcs! Tô`h cpcrjdjrãa `cs bôrmu`cs y `hs prho`jmcs rjsuj`ths!
Tnjmprj phiîns rjdurrnr c mn pãfnac wjo pcrc dhasu`tcr mcs bôrmu`cs y icths5
gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( y c Vnlnpjinc5 gttp5((js!wnlnpjinc!hrf( !
[hiîns inbuainr jstj ihdumjath jatrj vujstrhs dhmpcójrhs! _jspjtci, jsh sí, j` bhrmcth ij`
mnsmh, su cuthríc y `c mcrdc ij cfuc dha mn bhth! ¸C quj mh`h ij pjqujóh8
Jstj ihdumjath sj jstcrã cdtuc`nzcaih dhatnaucmjatj phr `h quj js rjdhmjaico`j quj
dhasu`tîns `c õ`tnmc vjrsnôa ijsij mn pjrbn` ja Tdrnoi5 gttp5((js!sdrnoi!dhm(N*D4*O3clnDcrrcsdc`
Frcdncs c qunjajs gcoîns prjfuatcih y rjsphainih tcmonîa! Za sc`uih c thihs y jspjrh quj
jsths prho`jmcs hs pujica sjrvnr ja vujstrhs jstuinhs!
Nócln Dcrrcsdc` Mhzh! Ijsij Dcstrn``h ij Iha Euca, ua pjqujóh pujo`h ij [c`jadnc 'Jspcóc.
Tn qujrîns vnsntcr mn pujo`h, jdgci uac hejcic c mn wjo5 gttp5((www!dcstrn``hijihaeuca!ajtcn!ajt(
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 4/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 9 ij ?6
Íaindj ij dcpítu`hs! Suímndc
Yjmc Yítu`h [ãfnac Jejrdndnhs
;3 Dhadjpths prjvnhs ;: ;6
;? Fcsjs nijc`js ;7 37
;4 _jcddnhajs químndcs 36 ;>
;9 Insh`udnhajs ?3 ;6
;: Yjrmhquímndc ?: ;4
;2 Jqun`nornh químndh ?2 ;3
;6 _jcddnhajs ij trcasbjrjadnc ij prhthajs ?6 ;?
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 5/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac : ij ?6
Yjmc ;3! Dhadjpths prjvnhs
W UC , ihaij U js j` aõmjrh ctômndh 'aõmjrh ij prhthajs h ij j`jdtrhajs ja ua ãthmh
j`îdtrndcmjatj ajutrh. y C j` aõmjrh mãsndh 'aõmjrh ij prhthajs aõmjrh ij ajutrhajs.!
@hs nsôthphs ij ua j`jmjath5 tnjaja j` mnsmh aõmjrh ij prhthajs y j`jdtrhajs pjrh inbnjrja ja j`
aõmjrh ij ajutrhajs! J` pjsh ctômndh ij ua nsôthph js `c mjinc phaijrcic 'tjanjaih ja dujatc su
couaicadnc. ij `hs pjshs ctômndhs ij `hs nsôthphs ij quj dhastc!
[rjfuatc ;3! _jsuj`tc j` 3;(33(?;3?
¸Duãaths mh`js gcy ja 3; dm dõondhs ij cfuc8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
R = 3; dmQ4 = ;,;3 `
Yjanjaih ja dujatc quj `c ijasnici js
i = m ( R
m = i ¶ R = 3 lf(` ¶ ;,;3 ` = ;,;3 lf = 3; f
pujs `c ijasnici ij` cfuc js ij` 3 lf ( `
J` aumjrh ij mh`js js a = m ( M snjaih M j` pjsh mh`jdu`cr ij` cfuc '37 f(mh`.
`ujfh5 a = 3;(37 = ;,:2 mh`js
[rjfuatc ;?! _jsuj`tc j` 3;(33(?;3?
¸Duã` js j` prhiudth ij `c dhmoustnôa ij gnirôfjah8Csí dhmh `c fcsh`nac c` gcdjr dhmoustnôa prhiudj DH?, quî prhiudj j` gnirôfjah purh c`dhmoustnhacrsjNócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Cfuc
G? '3(?. H? ---1 G? H
[rjfuatc ;4! _jsuj`tc j` 33(33(?;3?
Za ãthmh ajutrh dha 3; prhthajs pnjrij ? j`jdtrhajs! ¸Ja quj sj trcasbhrmc8 ¸Tnfuj snjaihj` mnsmh j`jmjath8 ¸mcatnjaj j` mnsmh aõmjrh mãsndh8
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Ja ua nha ij indgh j`jmjath!
Tí js j` mnsmh j`jmjath 'js ua nha, dha ihs j`jdtrhajs mjahs quj j` cthmh ajutrh.
Tí pujs j` aumjrh mãsndh js j` aumjrh ij prhthajs ajutrhajs 'y jsths snfuja nfuc`.
[rjfuatc ;9! _jsuj`tc j` ?:(33(?;3?
J` nsôthph ij mcfajsnh mãs couaicatj tnjaj ij aõmjrh ctômndh 3? y ij aõmjrh mãsndh ?9!Tn `hs htrhs ihs nsôthphs ij` mcfajsnh tnjaja ij aõmjrhs mãsndhs ?: y ?2, naindcr `cspcrtídu`cs suoctômndcs quj dhastntuyja dcic uah ij `hs trjs nsôthphs ij` mcfajsnh!
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 6/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 2 ij ?6
Aõmjrh ctômndh5 3? 5 3? prhthajs y 3? j`jdtrhajs
Aõmjrh mãsndh ?95 aµ ij ajutrhajs5 ?9 - aµ ij prhthajs = ?9 - 3? = 3?
Aõmjrh mãsndh ?:5 aµ ij ajutrhajs5 ?: - aµ ij prhthajs = ?: - 3? = 34
Aõmjrh mãsndh ?25 aµ ij ajutrhajs5 ?2 - aµ ij prhthajs = ?2 - 3? = 39Js ijdnr
Nsôthph ij aõmjrh mãsndh ?95 3? prhthajs, 3? j`jdtrhajs y 3? ajutrhajs
Nsôthph ij aõmjrh mãsndh ?:5 3? prhthajs, 3? j`jdtrhajs y 34 ajutrhajs
Nsôthph ij aõmjrh mãsndh ?25 3? prhthajs, 3? j`jdtrhajs y 39 ajutrhajs
Jspjrh gcojrtj sjrvnih ij cyuic! Tn tnjajs c`fuac pjfc, prjfuatc!
[rjfuatc ;:! _jsuj`tc j` ;6(33(?;3?
Za aõd`nih js `c rjprjsjatcdnôa ij` aõd`jh ctômndh ij ua j`jmjath utn`nzcaih j` símoh`hquímndh ij îstj 'j` duc` sj rjprjsjatc dha `c `jtrc ‐W”., j` aõmjrh ctômndh 'U.< j` aõmjrh ijmcsc 'C.Ja j` dcsh ij` D`hrh sjríc5 C=4: U = 36Aµ ij prhthajs = 36< Aµ ij j`jdtrhajs =36< Aµ ij mcsc = 4:< Aµ ij ajutrhajs = 4: - 36 = 37Cghrc! [rhphaj : j`jmjaths dha jstc mnsmc bhrmc ij rjprjsjatcr y ijbnaj pcrc dcic uah ijj``hs `hs mnsmhs dhadjpths5Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Hxnfjah5 C = 32, U = 7
Ah! ij prhthajs = 7
Ah! ij j`jdtrhajs =7
Ah! ij mcsc = 32
Ah! ij ajutrhajs = 32 - 7 = 7
Dcrohah5 C = 3? , U = 2
Ah! ij prhthajs = 2
Ah! ij j`jdtrhajs = 2
Ah! ij mcsc = 3?
Ah! ij ajutrhajs = 3? - 2 = 2
Cprjaijs mcs sn `h gcdjs tõ mnsmh! Mnrc, cquí tnjajs uac tco`c pjrnôindc5
gttp5((www!pjrnhian!dhm(js(naijx!gtm`
Bíectj ja j` aumjrh ctômndh y ja j` pjsh ctômndc! Js muy bãdn`! Dhmp`jtc tõ `hs htrhs trjs quj
bc`tca, ¸hl8Tn qunjrjs tj infh trjs j`jmjaths! [jrh gcz`h tõ cghrc quj scojs5
Thinh5 U = 33, C = ?4
Dc5 U = ?;, C = 9;
Bj5 U = ?2, C = :2
[rjfuatc ;2! _jsuj`tc j` ?7(33(?;3?
Dômh sj pujij scojr sn ua ãthmh jstc jxdntcih sconjaih sh`cmjatj `c dhabnfurcdnôaj`jdtrôandc y sna scojr quj j`jmjath js8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 7/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 6 ij ?6
[ujijs hosjrvcr `c dhabnfurcdnôa j`jdtrôandc quj tj ija!
-J` hrija ijoj sjr 3s? ?s? ?p2 4s? 4p2 9s? 4i3; 9p2 :s? , jtd! 'tj sujac `c du`jorn``c jstc, ¸ah8.
-_jdujric cijmãs quj ja ua hrontc` s sh`h dcoja ? j`jdtrhajs, ja uah p 2, js uah i 3;, ja uah b
39 j`jdtrhajs!
-Cijmcs `hs hrontc`js p jmpnjzca ja j` anvj` ?< `hs i ja j` 4, `hs b ja j` 9!Jstcs ihs u`tnmcs dhscs tj `cs sjóc`h pcrc vjr sn jstã ja ua jstcih /nmphsno`j/
Yj vhy c phajr uahs jejmp`hs5
Naindcr duã`js ij `cs snfunjatjs dhabnfurcdnhajs sha phsno`js pcrc ua ãthmh ja jstcih ahrmc`5
c. 3s? ?s3 o. 3s4 d. ?s3 i. 3s? 4s3 j. 3s? ?s? p7 4s3 b. 3s? ?s?p2 ?i?
c. ahrmc`
o. nmphsno`j5 ja ua hrontc` s sh`h dcoja ihs j`jdtrhajs
d. jxdntcih 'prnmjrh tjairíc quj gcojr snih 3s3.
i. jxdntcih
j. nmphsno`j 'ja ua hrontc` p sh`h dcoja 2 j`jdtrhajs.
b. nmphsno`j '`hs hrontc`js i jmpnjzca ja j` anvj` 4, ah ?.
¸Duã`js ij `cs snfunjatjs dhabnfurcdnhajs dhrrjsphaija c ãthmhs ja jstcih jxdntcih, ãthmhs ja
jstcih ahrmc` h duc`js sha nadhrrjdtcs8
c. 3s? ?p? o. 3s? ?s? ?p3 d. 3s? ?s? ?i3 i. 3s? ?s4 j. 3s? ?s? 4s3
Natîatc`h tõ!
Th`udnôa5 c. jxdntcih < o. ahrmc` < d. nmphsno`j < i. nmphsno`j < j. jxdntcih
Jspjrh tj snrvc mn rjspujstc y `cs htrcs quj qunzã tj ija mns dhmpcójrhs quj natjatca cyuicrtj
tcmonîa y `cs vc`hrjs, ah ijeãaih`c quj qujij ja /vhtcdnôa/
[rjfuatc ;6! _jsuj`tc j` ?6(3;(?;3?Dhasnijrc ua ãthmh ajutrh dha `c snfunjatj dhabnfurcdnôa j`jdtrôandc5 3s? ?s? ?p2 9s3¸Duã` js su aõmjrh ctômndh8¸Duã` js su dhabnfurcdnôa j`jdtrôandc mãs jstco`j8¸Coshroj h ijsprjaij jajrfíc ducaih pcsc c tjajr indgc dhabnfurcdnôa8 _czhac `csrjspujstcs!Ycmphdh jatnjaih phrquj pcsc ij` anvj` ?p2 c` 9s3 sna pcscr phr `hs catjrnhrjs 4s? 4p2!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Dhrrjsphaijríc c ua ãthmh ja jstcih /jxdntcih/!
J` aumjrh ctômndh js ? ? 2 3 = 33
Tn ah guonjrc jstcih ja jstcih jxdntcih ijojríc gcojr snih 3s? ?s? ?p2 4s3 11 dhabnfurcdnôa mãsjstco`j!
Ijsprjaijríc jajrfíc!
[hrquj dhrrjsphaij c ua jstcih jxdntcih, sj `j gc dhmuandcih jajrfíc y gc pcscih c ua anvj` ij
mcyhr jajrfíc 'phr jsh ijsprjaij jajrfíc c` rjfrjscr c su jstcih ahrmc`.
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 7 ij ?6
Yjmc ;?! Fcsjs nijc`js! Jducdnôa ij
jstcih
Jducdnôa ij jstcih ij ua fcs nijc`! [ R =a _Y ihaij
— [ js `c prjsnôa 'mjinic ja ctmôsbjrcs5 3 ctm = 62; mm ij Gf = 3;34;; [c.<
— R js j` vh`umja 'mjinih ja `ntrhs5 3 ` = 3 im4 = 3;;; dm4.
— a js j` aõmjrh ij mh`js 'mcsc ( pjsh mh`jdu`cr.
— _ js `c dhastcatj ij `hs fcsjs nijc`js5 _=;,;7?
ctm¶`
mh`¶L =7,43
E
mh`¶L =3,>72
dc`
mh`¶L — Y js `c tjmpjrcturc 'ja L5 L = µD ?64.
Tn qujrjmhs ‐dhmpcrcr” ihs sntucdnhajs utn`nzcrjmhs5 [ 3 ¶R 3
Y 3=
[ ? ¶R ?
Y ?ihaij `c tjmpjrcturc ijoj
mjinrsj ja Lj`vna y `c prjsnôa y j` vh`umja ja `cs uanicijs quj sj qunjrca 'ij prjsnôa y ij
vh`umja. jmp`jcaih c cmohs `cihs `cs mnsmcs uanicijs!
Ja dhaindnhajs ahrmc`js ij prjsnôa '3 ctm. y tjmpjrcturc '?64 L., ua mh` ij ua fcs hdupc ua
vh`umja ij ??,9 `ntrhs!
@jy ij Ohy`j — Mcrnhttj5 [ R =dtj 'Y =dtj. !
@jy ij Dgcr`js — Fcy — @usscd! R 3
Y 3=R ?
Y ?=…=dtj ' [ =dtj.
[rjfuatc ;3! _jsuj`tc j` ?7(3;(?;3?
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[crc fcsjs 'nijc`js.!
Tj ijiudj ij `c jducdnôa ij jstcih ij ua FCT NIJC@
[ R ( Y = dhastcatj
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac > ij ?6
Tn j` vh`umja ij` fcs js dhastcatj, qujic quj [ ( Y = dhastcatj quj js `c `jy ij Fcy-@usscd!
[rjfuatc ;?! _jsuj`tc j` ?9(3;(?;3?
¸Ja quî bhrmc vcrnc `c ijasnici ij ua fcs ducaih dcmonc ij vh`umja phr jbjdths ij
vcrncdnôa ij prjsnôa8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Rjcmhs, ij `c jducdnôa ij jstcih ij ua fcs nijc` [ R = a _ Y, j` aumjrh ij mh`js a js nfuc` c `c
mcsc 'm. jatrj j` pjsh mh`jdu`cr 'M.
[ R = 'm ( M. _ Y
[ R M = m _ Y
ij ihaij m ( R 'js ijdnr `c ijasnici. = [ M ( '_ Y.
jsth js `h quj ajdjsntcs5 i = [ M ( '_ Y.
sn `c prjsnôa cumjatc 'mcatjanjaih `c Y dtj., `c ijasnici cumjatc< y sn insmnauyj [, insmnaunrã i
[rjfuatc ;4! _jsuj`tc ja hdtuorj ij ?;3?
Ja ua rjdnpnjatj ij 33 @ dhatnjaj ?; f ij fcs ajôa y uac dnjrtc mcsc ij fcs gnirôfjah!Tconjaih ij `c ijasnici ij `c mjzd`c js ij ? f(@ c ;µD, dc`du`c `c prjsnôa thtc`!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
[ R = a _ Y
Ajôa5 [ 'Aj. ¶ 33 = ?; ( ?; ¶ ;,;7? ¶ ?64
[ 'Aj. = ?,;9 ctm
mjzd`c5 ijasnici = m ( R < ij ihaij m = i R = ? ¶ 33 = ?? f ij Ajôa j gnirôfjah
dhmh tjaícmhs ?? f ij ajôa, ij G? gcorã ? f quj jejrdjrãa uac prjsnôa ij
[ R = a _ Y[ 'G?. 33 = ?(? ¶ ;,;7? ¶ ?64, ij ihaij ['G?. = ?,;9 ctm
`c prjsnôa thtc`, js `c sumc ij cmocs5 ?,;9 ?,;9 = 9,;7 ctm
[rjfuatc ;9! _jsuj`tc j` ;3(33(?;3?
Zac mujstrc ij ? ` ij fcs tnjaj uac prjsnôa cosh`utc ij 4;; lpc c 4;; l sn tcath `c prjsnôadhmh js vh`umja sj iup`ndca ¸duc` js `c tjmpjrcturc bnac`8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`
[3 ¶ R3!!!!![? ¶ R?----------- = -------------
!!!!Y3!!!!!!!!!!!!Y?
Rjmhs d`crcmjatj quj sn [? = ?[3 y R? = ?R3
[3 ¶ R3!!!!!?¶[3 ¶ ?¶R3
----------- = ------------------
!!!!Y3!!!!!!!!!!!!!!!Y?
Y? = 9 Y3
`c tjmpjrcturc 'ja Lj`vna. sj mu`tnp`ndc phr ductrh5 Y? = 3?;; L
[rjfuatc ;:! _jsuj`tc j` ;3(33(?;3?
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 3; ij ?6
¸Ducaths Ln`hfrcmhs ij antrôfjah fcsjhsh 'M = ?7 f(mh`. ``jacrca ua vh`umja ij ?;;; @ cuac prjsnôa cosh`utc ij ?;? l[c y uac tjmpjrcturc ij 7;»D8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!… ctm
?;? l[c = ?;?;;; [c = ?;?;;; [c ! ----------------- = 3,>> ctm
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!… [c
R js j` vh`umja ja `ntrhs5 R = ?;;; `
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '?7.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L5 Y = 7; ?64 = 4:4 L
`ujfh3,>> ¶ ?;;; = a ¶ ;,;7? ¶ 4:4
ij ihaij a = 346,:; mh`js
dhmh a = m ( M
m = a ¶ M = 346,:; ¶ ?7 = 479>,>4 f = 4,7: lf
[rjfuatc ;2! _jsuj`tc j` ;3(33(?;3?
¸Duc` js j` vh`umja hdupcih phr 7 f ij fcs antrôfjah 'M = ?7 f(mh`. c tjmpjrcturc yprjsnôa jstãaicr '[ts.8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '?7.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
Dhaindnhajs jstãaicr 'sjfõa `c NZ[CD.5 [ = 3 ctm y Y = ?64 L
`ujfh5
3 ¶ R = '7 ( ?7. ¶ ;,;7? ¶ ?64
ij ihaij R = 2,9 `
[rjfuatc ;6! _jsuj`tc j` ;3(33(?;3?
Za ijphsnth ij ? m dõondhs dhatnjaj fcs antrôfjah 'M = ?7 f(mh`. oceh uac prjsnôamcahmîtrndc ij :;; l[c! Tn `c tjmpjrcturc js ij ?6» D ¸Duã` js `c mcsc ij` fcs dhatjanihja j` ijphsnth8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Rjh quj tus prjfuatcs snjmprj gcdja rjbjrjadnc c `c mnsmc jducdnôa!
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs, 3 ctm = 3;34;; [c
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 33 ij ?6
R js j` vh`umja ja `ntrhs, 3 mQ4 = 3;;; `
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '?7.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
':;;¶3;Q4 ( 3;34;;. ¶ ?;;; = 'm ( ?7. ¶ ;,;7? ¶ '?6 ?64.ij ihaij m = 33?42 f = 33,?9 lf
[rjfuatc ;7! _jsuj`tc j` 33(33(?;3?
Zac dcatnici ij fcs A? hrnfnacrncmjatj dhatjanih ja 9,6: ctm ij prjsnôa ijatrh ij uarjdnpnjatj ij 3 @ c ?>> L sj trcasbnjrj c ua rjdnpnjatj ij 3; @ c ?>4 L! Zac dcatnici ij fcsH? dhatjanic ja ua rjdnpnjatj ij : @ c :,?: ctm y ?>> L sj trcasbnjrj c jstj mnsmh rjdnpnjatj!¸Duc` js `c prjsnôa thtc` ja j` aujvh rjdnpnjatj8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Dcatnici ij fcs A? hrnfnacrncmjatj dhatjanih ja 9,6: ctm ij prjsnôa ijatrh ij ua rjdnpnjatj ij3@ c ?>>L
Dc`du`cmhs indgc dcatnici ij fcs!
c pcrtnr ij `c jducdnôa ij jstcih ij ua fcs nijc`5 [ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '?7.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
9,6: ¶ 3 = a ¶ ;,;7? ¶ ?>> < a 'A?. = ;,3> mh`js
Dcatnici ij fcs H? dhatjanic ja ua rjdnpnjatj ij :@ c :,?: ctm y ?>>L sj trcasbnjrj c jstj
mnsmh rjdnpnjatj:,?: ¶ : = a ¶ ;,;7? ¶ ?>> < a 'H?. = 3,;6 mh`js
% Aõmjrh thtc` ij mh`js5 ;,3> 3,;6 = 3,?2 mh`js
% Aujvh rjdnpnjatj5 R = 3; ` , Y = ?>4 L
[ ¶ 3; = 3,?2 ¶ ;,;7? ¶ ?>4 , ij ihaij [ = 4,;9 ctm! Dhrrjdth!
[rjfuatc ;>! _jsuj`tc j` 34(33(?;3?
Za rjdnpnjatj ij :; `t dhatnjaj cnrj dhmprnmnih c 3; ctm c uac tjmpjrcturc ij ; frcihsdjatífrcihs! Tj corj ja ua cmonjatj c ? frcihs djatífrcihs y dha uac prjsnôa ij 3 ctm!Dc`du`cr j` pjsh ij` cnrj quj sj jsdcpc !Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Dc`du`jmhs `c mcsc 'mh`js. ij cnrj quj gcy nandnc`mjatj!
R = :; ` < [ = 3; ctm < Y = ?64 L
[ ¶ R = a ¶ _ ¶ Y
3; ¶ :; = a ¶ ;,;7? ¶ ?64
a 'catjs. = ??,49 mh`js!
Ja `c sntucdnôa bnac`, c` cornr `c ``cvj, j` rjdnpnjatj sj qujicrã dha `cs dhaindnhajs ij` jxtjrnhr5
Y = ?6: L y [ = 3 ctm! J` vh`umja sjrc j` mnsmh
3 ¶ :; = a ¶ ;,;7? ¶ ?6:
a 'ijspuîs. = ?,?? mh`js
Tj gcorã jsdcpcih jathadjs5 a'catjs. - a'ijspuîs. = ??,49 - ?,?? = ?;,3? mh`js ij cnrj!
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 3? ij ?6
Dhmh j` pjsh mh`jdu`cr cprhxnmcih ij` cnrj js ij ?> f(mh`
@c mcsc quj sj gc jsdcpcih sjrã5 ?;,3? ¶ ?> = :74,97 f
[rjfuatc 3;! _jsuj`tc j` 36(33(?;3?
@c ijasnici ij` hxífjah 'H?. c ; µD y 3 ctm ij prjsnôa 'D!A!., js ij 3,9?> f(`! ¸Duã` sjríc `cmcsc mh`cr ij` cmhancdh 'A G4 . ja `cs mnsmcs dhaindnhajs sn, ja `cs mnsmcs dhaindnhajs suijasnici js ij ;,6:> f(`8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Rjcmhs, ij `c jducdnôa ij jstcih ij ua fcs nijc` [ R = a _ Y, j` aumjrh ij mh`js a js nfuc` c `c
mcsc 'm. jatrj j` pjsh mh`jdu`cr 'M.
[ R = 'm ( M. _ Y
[ R M = m _ Y
ij ihaij m ( R 'js ijdnr `c ijasnici. = [ M ( '_ Y.
jsth js `h quj ajdjsntcs5 i = [ M ( '_ Y.c. Tí, ja jbjdth5 i = 3 ¶ 4? ( ';,;7? ¶ ?64. = 3,9?> f ( `
o. Tn ijspjecmhs j` pjsh mh`jdu`cr M5
M = i ¶ _ ¶ Y ( [ = ;,6:> ¶ ;,;7? ¶ ?64 ( 3 = 36 f ( mh`
[rjfuatc 33! _jsuj`tc j` ?2(33(?;3?
Za ouzh suj`tc uac ourouec ij cnrj dha ua vh`umja ij ?!; dm4 ijsij uac prhbuainici ij 3:m oceh `c supjrbndnj ij ua c`cfh, ihaij `c tjmpjrcturc js ij 6!; µD! ¸Suî vh`umja tjairã `courouec ducaih ``jfuj eusth ijoceh ij `c supjrbndnj ij` `cfh ihaij `c tjmpjrcturc js ij ?;µDNócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Ja `c supjrbndnj `c prjsnôa quj tnjajs js `c ctmhsbîrndc [? = 3 ctm = 3;34;; A(mQ?C uac prhbuainici g, `c prjsnôa js5
[3 = [c rh ¶ f ¶ g
snjaih rh `c ijasnici ij` cfuc ja jstj dcsh y g `c prhbuainici,
`ujfh
[3 = 3;34;; 3;;; ¶ 3; ¶ 3: = ?:34;; A(mQ? = ?,97 ctm
pujs dhmh tj gj sjóc`cih 3 ctm = 3;34;; A(mQ?
Cghrc cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`
[3 ¶ R3!!!!!!!!!![? ¶ R?
----------- = -------------
!!!!Y3!!!!!!!!!!!!!!!!Y?
?,97 ¶ ? dmQ4!!!!!!!!!!!3 ¶ R?
-------------------- = -----------
…!!!6 ?64!!!!!!!!!!!!!!?;?64
ij ihaij R? = :,3> dmQ4
Jspjrh gcojrtj cyuicih!
[rjfuatc 3?! _jsuj`tc j` ?7(33(?;3?
¸Duã` js `c ijasnici ij 3 m4 ij cnrj c ; »D y 6?; mm ij Gf8! Ja dhaindnhajs ahrmc`js 3 m4ij cnrj tnjaj uac mcsc ij 3!?>4 LfNócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Rjcmhs, ij `c jducdnôa ij jstcih ij ua fcs nijc` [ R = a _ Y, j` aumjrh ij mh`js a js nfuc` c `c
mcsc 'm. jatrj j` pjsh mh`jdu`cr 'M.
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.Y `c tjmpjrcturc ja L
[ R = 'm ( M. _ Y
[ R M = m _ Y
ij ihaij m ( R 'js ijdnr `c ijasnici. = [ M ( '_ Y.
jsth js `h quj ajdjsntcs5 i = [ M ( '_ Y.
j` pjsh mh`jdu`cr `h ijiudjs c pcrtnr ij` icths ij quj 3 mQ4 = 3;;; ` = 3?>4 lf< `ujfh ??,9 `
sjrãa x = ??,9 ¶ 3?>4 ( 3;;; = ?7,>2 f (mh`
…!!'6?; ( 62;. ¶ ?7,>2
i= ----------------------- = 3,?? f ( `
!!!!!!!!!!!!!;,;7?¶ ?64
[rjfuatc 34! _jsuj`tc j` ;?(3?(?;3?
3! Dc`du`cr j` vh`umja hdupcih phr uac dcatnici ij fcs c 7; frcihs y 2;; mm Gf , snc : frcihs y 7;; mm Gf hdupc ?:; m@!
?! ¸Duc` js `c ijasnici ij 2; f ij Antrôfjah ja dhaindnhajs ahrmc`js sn ja uarjdnpnjatj ij 9; @ c :; frcihs jejrdj uac prjsnôa ij 3,9? ctm8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
3. Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`
[3 ¶ R3!!!!!!!!!![? ¶ R?
----------- = -------------!!!!Y3!!!!!!!!!!!!!!!!!!Y?
7;; ¶ ?:;!!!!!!!!!!2;; ¶ R?
-------------- = --------------
!: ?64!!!!!!!!!!!!7; ?64
ij ihaij R? = 94?,?2 m@
?. Ja dhaindnhajs ahrmc`js ij [ y Y ua mh` ij uac fcs '?7 f, pcrc j` dcsh ij` A?. hdupc ua
vh`umja ij ??,9 `!
Csí quj
i = ?7 f ( ??,9 ` = 3,?: f(`
@c nabhrmcdnôa quj tj ica ja j` jauadncih js /pcec/! Ja dhaindnhajs ahrmc`js ij prjsnôa ytjmpjrcturc ua mh` ij ua fcs hdupc ua vh`umja ij ??,9 `!
[rjfuatc 39! _jsuj`tc j` ??(3?(?;3?
Dc`du`cr `c mcsc ij 3 `ntrh ij cnrj scturcih ij gumjici c ?:µD y prjsnôa c 66; mmGf! @cprjsnôa ij vcphr c ?:µD ?4,7 mm Gf! Mr 3(?=?7,>2 fr(mh`!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 39 ij ?6
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '?7,>2.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
Ijojs tjajr ja dujatc quj ja `c prjsnôa tnjajs quj rjstcr c `hs 66; mm , `c prjsnôa ij vcphr ij`cfuc, ?4,7 mm
Js ijdnr, tj qujicrã5
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ij ihaij m = 3,32 f
[rjfuatc 3:! _jsuj`tc j` ;6(;3(?;34! _jspujstc aõmjrh 399>
3! C uac tjmpjrcturc ij >: µD y c uac prjsnôa ij 67? mm ij Gf ua fcs hdupc ua vh`umjaij ?;; Dc`du`cr j` vh`umja quj hdupcrc indgh fcs c `c tjmpjrcturc ij 2: µD y c 73: mm ijGf prjsnôa?! Tn :!6: f ij ua fcs hdupca ua vh`umja ij 4!93 c ua tjmpjrcturc ij :; µD y c uac prjsnôaij ;!>9 ctm ¸Duc` js su pjsh mh`jdu`cr8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
[_HO@JMC 3!
Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`
[3 ¶ R3!!!!![? ¶ R?
----------- = -------------
!!!!Y3!!!!!!!!!!!!Y?
67? ¶ ?;; ( '>: ?64. = 73: ¶ R? ( '2: ?64.
ij ihaij R? = 362,?2 suphafh quj dmQ4 'phrquj ah pusnstj `cs uanicijs ij` vh`umja.!
Tn qunjrjs `c jxp`ndcdnôa y j` ijscrrh``h ij `cs bhrmu`cs, `cs dhastcatjs jmp`jcics, jdgc uachejcic c jstj ihdumjath dha prho`jmcs quj yh mnsmh rjsh`ví ij cghh# _jspujstcs! Jstc thih
jxp`ndcih5
gttp5((www!sdrnoi!dhm(ihd(339??3499(Sunm…
@h õandh quj ijojs tjajr muy ja dujatc ja quj `c tjmpjrcturc ijojs jxprjscr`c ja Lj`vna '`c
prjsnôa y j` vh`umja ic nfuc` snjmprj y ducaih phafcs `cs mnsmcs uanicijs c cmohs `cihs.
[_HO@JMC ?!
Ij aujvh cp`ndcs `c jducdnôa ij jstcih ij ua fcs nijc`, jstc vjz jsdrntc dhmhX
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs,
R js j` vh`umja ja `ntrhs,a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
vhy c jatjaijr quj 4,93 sha `ntrhs 'pha uanicijs.
Ja aujstrh dcsh5 ;,>9 ¶ 4,93 = ':,6: ( M. ¶ ;,;7? ¶':; ?64.
ij ihaij M = 96,: f ( mh`
Yj rjmnth c` ja`cdj catjrnhr pcrc quj jdgjs ua vnstczh c mcs prho`jmcs ij fcsjs nijc`js rjsuj`ths
y csí prcdtnqujs!
[rjfuatc 32! _jsuj`tc j` 3>(;3(?;34 c cs 36593 g 'ghrc jspcóh`c.!! _jspujstc aõmjrh 3:?6
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 3: ij ?6
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Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs, 3 ctm = 62; mm Gf
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '4:,: ¶ ? pcrc j` D`?.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
'2;7 ( 62;. ¶ 9>,9 = \m ( '4:,:¶?.] ¶ ;,;7? ¶ '?6 ?64.
ij ihaij m = 33?,92 f
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Cp`ndc `c jducdnôa ij jstcih ij ua fcs nijc`5
[ ¶ R = a ¶ _ ¶ Y
ihaij [ js `c prjsnôa ja ctmôsbjrcs, 3 ctm = 62; mm Gf
R js j` vh`umja ja `ntrhs
a js j` aõmjrh ij mh`js a = m ( M snjaih M j` pjsh mh`jdu`cr '7 f(mh`.
_ js `c dhastcatj ij `hs fcsjs nijc`js5 ;,;7? ctm ¶ ` ( 'mh` ¶ L.
Y `c tjmpjrcturc ja L
'97; ( 62;. ¶ R = '7 ( 9. ¶ ;,;7? ¶ '3: ?64.ij ihaij 5 R = 69,67 `
[rjfuatc 37! _jsuj`tc j` ?;(;3(?;34 c cs 3754; g 'ghrc jspcóh`c.! _jspujstc aõmjrh 3:93
Ja j` supujsth ij quj `c `jy fjajrc` ij `hs fcsjs bujrc [ R? = a? _ Y, ¸duã` sjríc j` vc`hr ij_ y sus uanicijs, sn [ jstã icic ja ctmôsbjrcs, a ja mh`js, Y ja lj`vnas y R ja `ntrhs8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Tn tjajmhs ja dujatc quj 3 mh` ij ua fcs nijc` hdupc ua vh`umja ij ??,9 ` c 3 ctm y ; µD '?64
L.
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ij ihaij _ = 3,747 ctm ¶ `Q? ( 'mh`Q? ¶ L.
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 32 ij ?6
Yjmc ;4! _jcddnhajs químndcs
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3. b oj -bj o 5 mc` ! c `c nzqunjric tnjajs b`õhr y ojrn`nh y c `c ijrjdgc tnjajs quj tjajr
dhmpujsths dha jsths j`jmjaths 'ah snrvj dcmoncr `cs `jtrcs.?. mc`, j` hxífjah ijoj cpcrjdjr dhmh H? 'ah dhmh H.
4. mc` C` H ¸ijsij ducaih j` c`umnanh tnjaj vc`jadnc ? h j` hxnfjah vc`jadnc 48
9. mc` ! ah jxnstj j` L?, jxnstj j` phtcsnh L, pjrh ah L?
:. mc` ! J` gnjrrh js Bj, ah Bj?, ja thih dcsh phirícs jsdrnonr5 ? Bj 4 H? --1 Bj? H4 , jsth sí
jstc onja!
Frcdncs phr puatucr
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Ceustcr cs snfunjatjs rjcddnhajs5Dr H? =
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Tuphafh quj sha IHT `cs rjcddnhajs quj qunjrjs ceustcr5
Dr H? --1 DrH4
Dr '4(?. H? --1 DrH4
y
D4G7 H? --1 DH? G?H
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Yjafh quj ijdnr duc`js sha `hs rjcdtnvhs y duc`js sha `hs prhiudths ij` snfunjatj prhdjshquímndh! [rnmjr prhdjsh químndh js5 D;?,G?;,'D9G3;.';?.y j` snfunjatj prhdjsh químndh js5?Mf;?--------------?Mf;Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Mj nmcfnah quj j` prnmjr prhdjsh quj naindcs js `c dhmoustnôa ij` outcah
D9 G3; H? --1 DH? G?H 'dhihs mhecihs.
`hs rjcdtnvhs sha j` outcah D9G3; y j` hxífjah H? y `hs prhiudthr j` inôxnih ij dcrohah DH? y
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 36 ij ?6
j` cfuc G?H
[crc `c sjfuaic rjcddnôa5 ?Mf;?--------------?Mf;
`hs rjcdtnvhs sha j` mcfajsnh Mf y j` hxífjah H? y j` prhiudth j` hxnih ij mcfajsnh Mf H
`hs rjcdtnvhs cpcrjdj c `c nzqunjric ij `c jducdnôa y `hs prhiudths c `c ijrjdgc!
[rjfuatc ;9! _jsuj`tc j` 36(33(?;3?
¸Ducatcs thaj`cics ij gnjrrh pujija hotjajrsj ja `c rjiuddnôa ij : thaj`cics ij mnajrc`gjmctntha 'ôxnih bîrrndh.8J` mjrdurnh gnjrvj c 2:»B y sj sh`ninbndc c -47»B c `c prjsnôa ij uac ctmôsbjrc! Jxprjscrîstcs tjmpjrcturcs c frcihs lj`vna '»L.Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Bj? H4 --1 ? Bj '4(?. H?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3 mh` Bj? H4!!!!!!!!!!!!!!!!!!? mh`js Bj!!!!!!!!!!!!!:2 f Bj
: Ym Bj? H4 ! ------------------------------- ¶ ------------------- ¶ -------------- = 4,: Ym Bj!!!!!!!!!!!!!!!!!!!!!!!!!!!?¶:2 4¶32 f Bj? H4!!!!!!!3 mh` Bj? H4!!!!!!!!!3 mh` Bj
O. 2:µB
D!!!!B - 4?
-- = ---------
:!!!!!!!!>
D(: = '2: - 4?. ( >, ij ihaij D = 37,4 µD
L = µD ?64 = ?>3,4 L
ij` mnsmh mhih5
D(: = '-47 - 4?. ( >, ij ihaij D = -47,> µD
L = µD ?64 = ?49,3 L Ahtc5 sj `jj ?49,3 Lj`vna 'ah frcihs Lj`vna.
[rjfuatc ;:! _jsuj`tc j` ?7(33(?;3?
Ja uac ohmohac dha 3; lf ij outcah 'D9 G3;., ¸ducaths `ntrhs 'ja dhaindnhajs ahrmc`js. ijDH? sj jmntja8 y, ¸ducaths `ntrhs ij cfuc 'jstcih `nqunih. sj jmntja8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Ja `c rjcddnôa ij dhmoustnôa ij ua gnirhdcrourh 'dha H?. sj bhrmca /dhihs mhecihs/5 D H? y
G? H
D9 G3; '34(?. H? --1 9 D H? : G? H
!!!!!!!!!!!!!!!!!!!!!!!!3 mh` D9G3;!!!!9 mh`js DH?!!!!??,9 ` DH?
3;;;; f D9G3; !------------------- ! -------------------- !----------------- = 3:997,4 ` DH?
!!!!!!!!!!!!!!!!!!!!!!!!!:7 f D9 G3;!!!3 mh` D9G3;!!!!3 mh` DH?
!!!!!!!!!!!!!!!!!!!!!!!!!!!3 mh` D9G3;!!!!!!!!: mh`js GH?!!!!!!!!!!37 f GH?
3;;;; f D9G3; !------------------- ! -------------------- ! --------------- = 3::36,? f G?H
!!!!!!!!!!!!!!!!!!!!!!!!!!!!:7 f D9 G3;!!!!!!!!3 mh` D9G3;!!!!!!!!3 mh` GH?
js ijdnr 3:,:? lf!
Yjanjaih ja dujatc `c ijasnici ij` cfuc 3;;; lf(mQ4
i = m ( R
R = m ( i = 3:,:? ( 3;;; = ;,;3::? mQ4 ij cfuc = 3:,:? ` ij G?H
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 37 ij ?6
[rjfuatc ;2! _jsuj`tc j` ;:(;?(?;34 c `cs ?;597 'ghrc jspcóh`c.! _jspujstc aõmjrh 3647
Za ghrah ij dc` utn`nzc dhmh mctjrnc prnmc uac pnjirc dc`nzc, DcDH4, dha ua 3:* ijnmpurjzc sn`ídndc! Dc`du`c `hs mjtrhs dõondhs ij DH? quj sj ijsprjaija phr thaj`cic ijpnjirc dc`nzc!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Tuphafh quj `c rjcddnôa js5
Dc D H4 ---1 D H? Dc H
[crtnmhs ij 3;Q2 f ij dc`nzc /nmpurc/
!!!!!!!!!!!!!!!!!!!!!!3: f ij Dc DH4
3;Q2 f dc`nzc !-------------------------- = 3,:¶3;Q: f Dc DH4
!!!!!!!!!!!!!!!!!!!!!!!!3;; f dc`nzc
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3 mh` DcDH4!!!!3 mh` DH?!!!!!!!??,9 DH?
3,:¶3;Q: f Dc DH4 ! -------------------- ! --------------------- ! ---------------
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!3;; f DcDH4!!!!!3 mh` DcDH4!!!3 mh` DH?hotjanjaih 442;; ` DH? = 44,2 mQ?
Tuphanjaih quj jstcmhs ja dhaindnhajs ahrmc`js ij prjsnôa y tjmpjrcturc!
[rjfuatc ;6! _jsuj`tc j` ?7(33(?;3?
J` d`hrurh ij gnjrrh 'NN., BjD`?, rjcddnhac dha cmhancdh, AG4, y cfuc, pcrc prhiudnrgnirôxnih ij gnjrrh 'NN., Bj'HG.? y d`hrurh ij Cmhanh, AG9D`!
c. Jsdrnoc uac jducdnôa oc`cadjcic pcrc jstc rjcddnôa! Tn mjzd`cmhs 67,: f ij BjD`?<?: f ij AG4 y ?: f ij cfuc, quj rjcddnhaca tca dhmp`jtcmjatj dhmh js phsno`j!
o. Dc`du`j `hs frcmhs ij Bj'HG.? y AG9D` bhrmcihs!d. Dc`du`j `hs frcmhs ij dcic uah ij `hs rjcdtcatjs quj qujicrha ja jxdjsh c`
dhmp`jtcrsj `c rjcddnôa!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c rjcddnôa ceustcic js
Bj D`? ? AG4 ? G?H --1 Bj 'HG.? ? AG9D`
`c gj ceustcih c heh
c. Yjajmhs ua prho`jmc ij rjcdtnvh `ímntj 'dha trjs sustcadncs, ¡mh`c#, `c prnmjrc vjz quj `h
vjh.! Tuphafcmhs quj j` j` BjD`?
Rcmhs c pcrtnr ij jstj y dc`du`cr `c dcatnici ij `hs htrhs quj ajdjsntcmhs y vjrjmhs sn
insphajmhs h ah ij tc`js dcatnicijs!
!!!!!!!!!!!!!!!!!!!!!!!!3 mh` BjD`?!!!!!!!!? mh`js AG4!!!!!!!!36 f AG4
67,: f BjD`? ! ------------------ ! ------------------- ! ---------------- = ?3,;? f AG4
!!!!!!!!!!!!!!!!!!!!!!!!3?6 f BjD`?!!!!!!!!3 mh`j BjD`?!!!!!!!!3 mh` AG4
!!!!!!!!!!!!!!!!!!!!!!!!!3 mh` BjD`?!!!!!!? mh`js G?H!!!!!!!!!37 f G?H
67,: f BjD`? ! ------------------ !------------------- ! --------------- = ??,?: f G?;
!!!!!!!!!!!!!!!!!!!!!!!!3?6 f BjD`?!!!!!!!3 mh` BjD`?!!!!!!!!!3 mh` G?H
d. ¡quî sujrtj# c `c prnmjrc! J` rjcdtnvh `ímntj js j` BjD`? y ja jxdjsh jstãa j` AG4 'shorcrãa ?:
- ?3,;? = 4,>7 f. y j` G?H 'quj shorcrãa ?: - ??,?: = ?,6: f.
o.
!!!!!!!!!!!!!!!!!!!!!!!!3 mh` BjD`?!!!!!!!3 mh`js Bj'HG.?!!!!!!!>; f Bj'HG.?
67,: f BjD`? ! ------------------ !----------------------- ! --------------------- = ::,24 f Bj'HG.?
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac 3> ij ?6
!!!!!!!!!!!!!!!!!!!!!!!!3?6 f BjD`?!!!!!!!3 mh` BjD`?!!!!!!!!!!!!!!3 mh` Bj'HG.?
!!!!!!!!!!!!!!!!!!!!!!!!!3 mh` BjD`?!!!!!!? mh`js AG9D`!!!!!!!!:4,: f AG9D`
67,: f BjD`? ! ------------------ !----------------------- !-------------------- = 22,39 f AG9D`
!!!!!!!!!!!!!!!!!!!!!!!!!!3?6 f BjD`?!!!!!!3 mh` BjD`?!!!!!!!!!!!!!3 mh` AG9D`
[rjfuatc ;7! _jsuj`tc j` ;?(;?(?;34 c `cs 3?5;; 'ghrc jspcóh`c.! _jspujstc aõmjrh 329:
¸Tn 3 tcaquj a 3 dhgjtj dhatnjaj 3?2 f i O:G> y htrh tcaquj dhatnjaj 3>?f i H?, ijtjrmnacr`c mcsc i cfuc q puji sjr8Za dhmoustno`j phtjadnc` pcrc `hs dhgjtjs jspcdnc`js js uac dhmonacdnôa ij` O:G> y j`H?!Cmohs rjcddnhaca ij cdujrih c c snfunjatj jducdnôa oc`cadjcic5?O:G>'`. 3?H?'f. ↟ :O?H4's. >G?H'f.Tn ua tcaquj ja ua dhgjtj dhatnjaj 3?2 f ij O:G> y htrh tcaquj dhatnjaj 3>? f ij H?,ijtjrmnaj `c mcsc ij cfuc quj pujij sjr prhiudnic ducaih j` dhatjanih thtc` ij cmohstcaqujs rjcddnhac jatrj sí Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Js ua prho`jmc ij rjcdtnvh `ímntj!
Tuphafcmhs quj îstj sjc j` O:G>, vcmhs c vjr `c dcatnici ij H? quj ajdjsntcmhs y vjr sn
insphajmhs h ah ij `c mnsmc5
!!!!!!!!!!!!!!!!!!!!24 f O:G>!!!!!? mh` O:G;!!!!!3 mh` H?
3?2 f O:G> !------------------- !-------------------- !-------------- = 93,49 f H?
!!!!!!!!!!!!!!!!!!!!3 mh` O:G>!!!!3? mh`js H?!!!!!4? f H?
tjajmhs ij shorc, `ujfh j` O:G> js j` rjcdtnvh `nmntj y j` H? j` rjcdtnvh ja jxdjsh!
Dc`du`jmhs `c mcsc ij cfuc bhrmcic! Ij` mnsmh mhih5
!!!!!!!!!!!!!!!!!!!!24 f O:G>!!!!!? mh` O:G;!!!!!3 mh` G?H3?2 f O:G> !------------------- !-------------------- !----------------- = >7 f G?H
!!!!!!!!!!!!!!!!!!!!3 mh` O:G>!!!!> mh`js G?H!!!37 f G?H
Bujatj's.5
_jsuj`tc j` ;?(;?(?;34
Jspjrh tj cyuij mn rjspujstc y `c vc`hrjs ah ijecaih`c quj qujij ja vhtcdnôa!
[rjfuatc ;>! _jsuj`tc j` ;?(;?(?;34 c cs 3>543 'ghrc jspcóh`c.! _jspujstc aõmjrh 3224
3! ¸Duãaths mh`js ij H? sj ajdjsntca pcrc bhrmcr 37 frcmhs ij G?H8?! ¸Duãaths frcmhs ij D?G2 sj ajdjsntca pcrc bhrmcr 4 mh`js ij G?H8_jsuj`vj hs snfunjatjs prho`jmcs rj`cdnhacihs c` tjmc ij rjcdtnvh nmntcatj5
4! Naindc duã` js j` rjcdtnvh `nmntcatj ja `c snfunjatj rjcddnôa oc`cadjcic dhasnijrcaih qujrjcddnhaca 3:f ij Mf y 3:f ij Gd`5 Mf ? GD` ----------1 MfD`? G?Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
3! Ajdjsntcrícmhs `c rjcddnôa! Tuphafh quj sn qujrjmhs hotjajr G?H js c pcrtnr ij G? y H?,
ij cdujrih dha `c rjcddnôa ?G? H? ---1 ?G?H
!!!!!!!!!!!!!!!3 mh` G?H!!!!3 mh` H?
37 f G?; !---------------- !-------------------- = ;,: mh`js H?
!!!!!!!!!!!!!!!!!37 f G?H!!!? mh`js G?H
?! Tuphafcmhs quj tjajmhs `c rjcddnôa ij dhmoustnôa ij` jtcah
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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D?G2 '6(?. H? ---1 ?DH? 4G?H '/dhihs mhecihs/.
!!!!!!!!!!!!!!!!!!!!!3 mh` D?G2!!!!!!!4; f D?G2
4 mh`js G?H !------------------- ! ----------------- = 4; f D?G2
!!!!!!!!!!!!!!!!!!!!!4 mh`js G?H!!!3 mh` D?G2
4! Mf ? GD` ----------1 MfD`? G?
Tuphafcmhs quj js j` Mf, vjcmhs `c dcatnici ij GD` ajdjscrnc5
!!!!!!!!!!!!!3 mh` Mf!!!? mh`js GD`!!!42,: f GD`
3: f Mf !------------- !------------------- !---------------- = 9:,2?: f GD`
!!!!!!!!!!!!!!?9 f Mf!!!!!!3 mh` Mf!!!!!3 mh` GD`
`ujfh j` rjcdtnvh `ímntj js j` GD`
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Yjmc ;9! Insh`udnhajs
Bhrmcs ij jxprjscr `c dhadjatrcdnôa ij uac insh`udnôa!
Dhadjatrcdnôa djatjsnmc` h tcath phr dnjath ja pjsh! Tha `hs frcmhs ij sh`uth quj gcy ja 3;; f
ij insh`udnôa!
Mh`crnici! Tha `hs mh`js ij sh`uth dhatjanihs ja ua `ntrh ij insh`udnôa!
Ahrmc`nici! Js j` aõmjrh ij jqunvc`jatjs frcmh ij sh`uth phr dcic `ntrh ij insh`udnôa!
Mh`c`nici! Tha `hs mh`js ij sh`uth phr dcic ln`hfrcmh ij insh`vjatj!
* ja mcsc
[rjfuatc ;3! _jsuj`tc j` ?:(3;(?;3?
C`funja mj pujij jxp`ndcr onja `h quj js `c DHADJAY_CDNHA JA MCTC, c sjr phsno`jdha ua jejmp`h!Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Ja uac insh`udnôa 'quj dhastc ij sh`uth y insh`vjatj., j` * ja mcsc sha `hs frcmhs ij sh`uth quj
gcy ja 3;; f ij insh`udnôa! [ujijs gcdjr`h dha uac sjadn``c rjf`c ij trjs!
Za jejmp`h5
Tj insuj`vja ? f ij gnirôxnih sôindh 'Ac H G. ja 3; f ij cfuc! ¸Duã` js `c dhadjatrcdnôa
djatjsnmc`8
Th`udnôa5Th`uth5 gnirôxnih ij shinh
Insh`vjatj5 cfuc
Tn ja ? 3; frcmhs ij insh`udnôa tjajmhs ? frcmhs ij sh`uth
ja 3;; frcmhs ij insh`udnôa gcorã !!!!!!!!!!! x frcmhs ij sh`uth
ij ihaij x = ?¶3;; ( 3? = 32,26 *
[rjfuatc ;?! _jsuj`tc j` 43(;3(?;34 c cs ?3533 g 'ghrc jspcóh`c.! _jspujstc aõmjrh 32?>
Tj insuj`vja 3; f ij scdcrhsc ja ?:; f ij cfuc! Naindc `c dhadjatrcdnôa ij `c insh`udnôa japhrdjatcej ja mcsc!
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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@c dhadjatrcdnôa djatjsnmc` h * ja mcsc sha `hs frcmhs ij sh`uth 'ja tu dcsh, `c scdcrhsc. phr
dcic 3;; frcmhs ij insh`udnôa 'ja tu dcsh scdcrhsc cfuc.! [ujijs gcdjr uac sjadn``c rjf`c ij trjs5
Tn ja ?:; 3; frcmhs ij insh`udnôa gcy 3; f ij scdcrhsc
!!!!!!!!!!!ja 3;; frcmhs ij insh`udnôa gcorã !!!!! x f ij scdcrhscij ihaij x = 3;; ¶ 3; ( '?:; 3;. = 4,79 * js j` phrdjatcej ja mcsc ij sh`uth!
Tn qunsnjrcs dc`du`cr j` * ja mcsc ij insh`vjatj, bãdn`, c pcrtnr ij` catjrnhr5 3;; - 4,79 = >2,3: *
Bnectj quj gjmhs pujsth ?:; f ij insh`vjatj 3; f ij sh`uth = ?2; f ij insh`udnôa!
Mh`crnici
[rjfuatc ;?! _jsuj`tc j` 39(33(?;3?
¸Ducaths frcmhs, sj rjqunjrja pcrc prjpcrcr :;; m`s ij uac sh`udnôa ? M i DcDH48Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c mh`crnici ij uac insh`udnôa js j` aumjrh ij mh`js ij sh`uth pcrtnih ij` vh`umja 'ja `ntrhs.
ij `c insh`udnôa5
M = a ( R
? = a ( ;,:
ij ihaij a = 3 mh`
J` aumjrh ij mh`js a = m ( M 'mcsc ( pjsh mh`jdu`cr.
m = a ¶ M = 3 mh` ¶ '9; 3? 4¶32. f(mh` = 3;; f 111 Th`udnôa
[rjfuatc ;4! _jsuj`tc j` 39(33(?;3?
¸Duã` js `c mh`crnici ij uac sh`udnôa quj dhatnjaj 3; m@ ij G?TH9 ja ?;; m@ ij sh`udnôa8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c mh`crnici ij uac insh`udnôa js j` aõmjrh ij mh`js ij sh`uth pcrtnih ij` vh`umja 'ja `ntrhs.
ij `c insh`udnôa!
Ajdjsnth `c ijasnici ij` ãdnih su`bõrndh pcrc dc`du`cr `c mcsc y `hs frcmhs!
Ousdh ja Vnlnpjinc y hotjafh quj `c ijasnici js5 3,7 f(dmQ4
ijasnici = mcsc ( vh`umja
mcsc = ijasnici ¶ vh`umja = 3,7 f(dmQ4 ¶ 3; dmQ4 = 37 f
j` aumjrh ij mh`js js a = m ( M 'mcsc ( pjsh mh`jdu`cr.
a = 37 ( '?¶3 4? 9¶32. = 37 ( >7 = ;,37 mh`js
@c mh`crnici js5 M = a ( R = ;,37 ( ;,? = ;,>? mh`js ( `Ahtc5 gj dhasnijrcih quj `hs ?;; m` sha ij insh`udnôa 'sh`uth insh`vjatj.
Tn `hs ?;; m` sô`h bujrca ij insh`vjatj, ij insh`udnôa tjairícmhs `c sumc5 ?;;3; = ?3; m` y js
jstj dcsh M = ;,37 ( ;,?3 = ;,76 mh`js (`
Jspjrh gcojrtj cyuicih
Ahrmc`nici
[rjfuatc ;9! _jsuj`tc j` 39(33(?;3?
¸Ducaths m`s sj ajdjsntca pcrc prjpcrcr :;; frs ij G?T 'ãdnih su`bõrndh. ij uac sh`udnôa
;,?: A8
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
J` ãdnih su`bõrndh js G? T H9
G? T js j` su`burh ij gnirôfjah
¸c duã` ij `hs ihs tj rjbnjrjs8
Rhy c suphajr quj c` ãdnih su`bõrndh G? T H9
@c ahrmc`nici ij uac insh`udnôa js j` aõmjrh ij jqunvc`jatjs ij sh`uth ( vh`umja ij `c
insh`udnôa 'ja `ntrhs.
Dc`du`cmhs `hs mh`js5 a = m ( M 'mcsc ( pjsh mh`jdu`cr.
a = :;; ( '?¶3 4? 9¶32. = :;; ( >7 = :,3; mh`js
Cghrc onja ua mh` ij G?TH9 sha ? jqunvc`jatjs 'pujs js ua ãdnih quj tnjaj ? gnirôfjahs.
`ujfh j` aõmjrh ij jqunvc`js sjrã5 ?¶:,3; = 3;,?; jqunvc`jatjs
A = a jq ( R
ij ihaij R = a jq ( A = 3;,?; ( ;,?: = 9;,7? `
Mh`c`nici
[rjfuatc ;:! _jsuj`tc j` ?6(3;(?;3?
Dc`du`cr `c mh`c`nici ij uac insh`udnôa ij GD` quj dhatnjaj 3?: f ij sh`uth ja 7;; m` ijinsh`udnôa!
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c mh`c`nici ij uac insh`udnôa sha `hs mh`js ij sh`uth phr dcic ln`hfrcmh ij insh`vjatj!
Tuphafh quj sj trctc ij uac insh`udnôa ja CFZC!
7;; m` = ;,7 lfJ` pjsh mh`jdu`cr ij` G D` js 42,: f, `ujfh tjajmhs 3?: ( 42,: = 4,9? mh`js
`ujfh `c mh`c`nici js 5 4,9? mh`js ( ;,7 lf = 9,?7 mh`js(lf ô /mh`c`/
[rjfuatc ;2! _jsuj`tc j` ?6(3;(?;3?
Duãaths frcmhs ij antrcth ij p`ctc sj ajdjsntca pcrc prjpcrcr ?;; m` ij sh`udnôa ;!? mh`c`Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Jatnjaih quj sj trctc ij uac insh`udnôa cduhsc!
@c mh`c`nici ij uac insh`udnôa sha `hs mh`js ij sh`uth phr dcic ln`hfrcmh ij insh`vjatj!
;,? mh`js(lf = a ( ;,? lf
ij ihaij j` aumjrh ij mh`js js a = ;,;9
J` antrcth ij p`ctc Cf A H4 tnjaj ua pjsh mh`jdu`cr ij 5 3;7 39 97 = 36;,
`ujfh `c mcsc rjqujrnic sjrc m = ;,;9 mh`js ¶ 36; f(mh` = 2,7 f
[rjfuatc ;6! _jsuj`tc j` 33(33(?;3?
c. Dc`du`j `c mh`c`nici ij 3;; fr ij LMaH9 ja 4 l` ij cfuco. ;!3 mh` ij G4[H9 ja ?,;;; fr ij cfucd. ;!? fr ij MfD`? ja 7;; fr ij cfuc
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c mh`c`nici sha `hs mh`js ij sh`uth phr dcic ln`hfrcmh ij insh`vjatj!
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac ?9 ij ?6
3. sh`uth5 LMaH9< pjsh mh`jdu`cr5 4> :: 32¶9 = 3:7 f(mh`
mh`js ij sh`uth a = m ( M = 3;; ( 3:7 = ;,24 mh`js
insh`vjatj 4 l` = ¸l`8 -drjh quj gcs qujrnih ijdnr `ntrhs, `c l y `c ` jstca euatcs ja j` tjd`cih-
vhy c suphajr quj sha 4 ` = 4 lf
mh`c`nici = ;,24 ( 4 = ;,?3 mh`js ( lfTn bujrca l` ' ln`h `ntrhs ., sjrnca 4;;; ` = 4;;; lf y ja jstj dcsh mh`c`nici = ;,24 ( 4;;; =
;,;;;? mh`c`
o. sh`uth5 ;,3 mh`js < insh`vjatj5 ? lf
ah sî sn dha ?,;;; qunjrjs ijdnr ?;;; f h ? f! Rhy c natjrprjtcr quj sha ?;;; f = ? lf 'sn bujrca ?
f, sjrnca ;,;;? lf.! Mudgcs dc`du`cihrcs jmp`jca `c dhmc , pcrc sjpcrcr uanicijs ij mn``cr, ij cgn
mn natjrprjtcdnôa!
mh`c`nici = ;,3 ( ? = ;,;: mh`js(lf
d. sh`uth5 MfD`?5 [jsh mh`jdu`cr5 ?9 4:,:¶? = >: f(mh`
aumjrh ij mh`js5 ;,? ( >: = ;,;;? mh`js
insh`vjatj5 7;; f = ;,7 lf
mh`c`nici = ;,;;?3 ( ;,7 = ;,;;?2 /mh`c`/ h mh`js(lf
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Yjmc ;:! Yjrmhquímndc
[rjfuatc ;3! _jsuj`tc j` ;3(3?(?;3?Tjfõa jstc nabhrmcdnôa `cs snfunjatjs jducdnhajs tjrmhquímndcs, ¸ij quî tnph sha8
c. Mf 's. DN? 'f. -6 MfDN? 's. 293,7 lEo. o` DcDH ':. 367 lE -6 DcH 's. DH? 'f.d. 4 3 j. DuH ':. -6 Du 's. ?/ H? 'f. - >6,3 lE i.i. D':. H? 'f. - 462,? lE -6 DH? 'f.
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
c. Jxhtîrmndc pujs ijsprjaij dc`hr 'phrquj sumcr 293,7 LE c `c ijrjdgc.
o. Jaihtîrmndc pujs coshroj dc`hr
d. 4 3 j. ¸8! Jaihtîrmndc 'pcsctj `hs ->6,3 c `c nzqunjric dhmh >6,3.i. Jxhtîrmndc 'pcsctj `hs -462,? c `c ijrjdgc sumcaih.
[rjfuatc ;?! _jsuj`tc j` ?7(33(?;3?
J` antrcth ij cmhanh ij ijsdhmphaj ij cdujrih c `c snfunjatj rjcddnôa tjrmhquímndc5AG9AH4----------1A?H ?G?H IG= -42Lesn `c MM ij` AG9AH4 js ij 7; f(mh` y sj ijsdhmphaj 3 frs ij sc` sj ijsprjaija5 8Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
[ujijs gcdjr uac sjadn``c rjf`c ij trjs!
Tn 3 mh` '7; f. ijsprjaija 42 LE
3 f ijsprjaijrã!!!!!!!!!!!!!!!!x, ij ihaij x = 42 ( 7; Le = ;,9: LE
h ij uac bhrmc mcs j`jfcatj
!!!!!!!!!42 LE!!!!!!!!3 mh`
3 f !-------------! --------- = 42 LE ( 7; = ;,9: LE
!!!!!!!!3 mh`!!!!!!!!!!!7; f
[rjfuatc ;4! _jsuj`tc j` ;7(33(?;3?
Icic `c jatc`píc ij rjcddnôa jstãaicr, utn`ndj `cs jatc`pícs jstãaicr ij bhrmcdnôa ij `c tco`cpcrc dc`du`cr `c jatc`píc jstãaicr ij bhrmcdnôa ij` DuH 's.!DuH 's. G? 'f. ----1 Du 's. G?H 'N. CG= -3?>,6 lE
Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Bãdn`! Ztn`nzc `c `jy ij Gjss, pjrh ¸y `c tco`c8
Ajdjsnth `c jatc`píc jstãaicr ij bhrmcdnôa ij` cfuc5 - ?7:,7 lE(mh` 'ij mns cpuatjs ij químndc
ij DHZ.
ij`tc G = ' sumcthrnh ij ij`tc ij G ij bhrmcdnôa ij prhiudths . - ' sumcthrnh ij ij`tc ij G ij
bhrmcdnôa ij rjcdtnvhs .
-3?>,6 = '-?7:, 7 ;. - 'x ;., ij ihaij x = -3:2,3 lE(mh`
phrquj `cs jatc`pícs jstãaicr ij bhrmcdnôa ij G? y ij` Du sha djrh '¡ yc jstãa bhrmcihs#.
Ycmonîa `h pujijs gcdjr dhmonacaih rjcddnhajs químndcs! [jrh dhmh tj `h gj rjsuj`th js `c
mcajrc mãs rãpnic!
Nócln Dcrrcsdc` Mhzh v3!;5 ;6(;?(?;34 gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js Nócln Dcrrcsdc`
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Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac ?2 ij ?6
Yjmc ;2! Jqun`nornh químndh
[rjfuatc ;3! _jsuj`tc j` ;7(33(?;3?@c dhastcatj ij jqun`nornh 'l. js 3,2>x3;Q'-4. c ?4;; lj`vna, sj dc`njatc uac mjzd`c ij : f ijantrôfjah y ? f ij hxnfjah ja ua rjdnpnjatj ij 3 @ c ?4;; lj`vna y sj ijec quj c`dcadj j`jqun`nornh! Dc`du`j `c W 'brcddnôa mh`cr. ij AH ja j` jqun`nornh!A? 'f. mcs H? 'f. !!!!!! ?AH'f.Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
Rjcmhs! Js sjadn``h! Rcmhs c dhastrunr uac tco`c
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!A? !!!!! !!!!!H? -----1 ? AH
mh`js nandnc`js!!!!!!!:(?7!!!!!!!!!!!?(4?!!!!!!!!!!! ---
mh`js rjcddnhaca!!!!!x!!!!!!!!!!!!!!!!x!!!!!!…!!!! ---mh`js bhrmcihs!!!!!!---!!!!!!!!!!!!!!!!---!!!!!!!… ? x
mh`js jqun`nornh !!!:(?7 — x!!!!!?(4? — x!!!!!!? x
\] ja jq!!!!!!!!!!!!':(?7 — x.(R!!!'?(4?-x.(R!!!!!'? x. ( R
dhastcatj ij jqun`nornh
…!!!!!!!!!!!\AH]Q?!!!!!!!!!!!!!!!!!!!!!\ '? x. ( R]Q?
Ld = ----------------- = -----------------------------------
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R sj ahs vc
Ld = 3,2>¶3;Q'-4. = '9 xQ?. ( \':(?7 - x. ¶ '?(4?-x.]
rjsuj`vjs `c jducdnôa ij sjfuaih frcih y hotnjajs, sn ah mj gj dh`cih5
x = ;,;;79 mh`jsmh`js ij AH ja jq5 ? x = ;,;;?3 mh`js
mh`js thtc`js ja jq5 :(?7 - x ?(4? - x ? x = ;,?933
ij ihaij `c brcddnôa mh`cr ij Ah js 5 ;,;;?3 ( ;,?933 = ;,;;77
_jpcsc phr sn cdcsh `cs hpjrcdnhajs!
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7/23/2019 Química (by Carrascal). Mis respuestas a problemas de Yahoo Respuestas!
http://slidepdf.com/reader/full/quimica-by-carrascal-mis-respuestas-a-problemas-de-yahoo-respuestas 27/27
Nócln Dcrrcsdc` Mhzh! Suímndc! Mns rjspujstcs c prho`jmcs ij cghh _jspujstcs# 3!; ;6(;?(?;34! [ãfnac ?6 ij ?6
Yjmc ;6! _jcddnhajs ij trcasbjrjadnc
ij prhthajs [rjfuatc ;3! 33(33(?;3?
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Ah! Js j` jejmp`h d`ãsndh ij ãdnih iîon`, duyc dhastcatj ij jqun`nornh js Lc = 3,7¶3;Q'-:.
Tj inshdnc dhmh
G Cd 0===1 G Cd-
J` /0===1/ sjóc`c jqun`nornh
[rjfuatc ;?! _jsuj`tc j` ?>(3?(?;3?
Zac sh`udnôa ij ãdnih cdîtndh ;,9 M tnjaj uac dhadjatrcdnôa ij nhajs gnirôfjah nfuc` c4,67x3;Q'-4. mh`js phr `ntrh! Tj ajdjsntc dc`du`cr `c dhadjatrcdnôa ij ãdnih cdîtndh y j` vc`hrij `c dhastcatj ij nhanzcdnôa! Dhadjatrcdnôa ij ãdnih cdîtndh = ;,4>< Lc = 4,6 x 3;Q'-:.Nócln gttp5((www!dcrrcsdc`!ajt92!ajt(bísndcs( bísndcsKycghh!js gttp5((js!sdrnoi!dhm(NóclnDcrrcsdc`
@c rjcddnôa ij jqun`nornh js
Cd G 0==1 Cd- G
Ahtc5 shy ij `c jsduj`c catnfuc y phafh Cd G
Cghrc onja, \G] = d ¶ c`bc4,67¶3;Q'-4. = ;,9 ¶ c`bc
ij ihaij j` dhjbndnjatj ij inshdncdnôa js5 ;,;;>9: = ;,>9: *
@c dhastcatj ij` ãdnih js
Lc = \Cd-] ¶ \G] ( \Cd G] = d ¶ c`bc ¶ d c`bc ( \d '3 - c`bc.] = d ¶ c`bcQ?
ihaij gjmhs gjdgh `c cprhxnmcdnôa ij 3 - c`bc = 3 'rjdujric quj c`bc = ;,;;>9:.
`ujfh Lc = ;,9 ¶ ;,;;>9:Q? = 4,:6¶3;Q'-:.
@c dhadjatrcdnôa ij ãdnih cdîtndh ja jqun`nornh sjrc
\Cd G] = d '3 - c`bc. quj dha `c cprhxnmcdnôa qujic prjdnscmjatj d = ;,9 M
sn ah gcdjmhs `c cprhxnmcdnôa sj hotnjaj
pcrc `c dhastcatj ij jqun`nornh5 4,2¶3;Q'-:.
y pcrc `c dhadjatrcdnôa ij CdG5 ;,9¶'3-;,;;>9:. = ;,4>2