8/2/2019 EXAMEN DE ADMISION UNI PROBLEMA 35 DE QUMICA

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FIF@N\N\ LJMW@OUJWQJA@OMF

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Woqj |n vuoqomj| ``oifq qolnwnoio| lji ui hf| osn|o o` wqja`omf eo` qf|rf|o

wuo| eoao |oq qof`n{fej eo jqj mjej ~f vuo o` hf| noio f o|lfwfq|o ~ eoao

un`n{fq|o qolnwnoio| loqqfej|)

\J@_LNJI FWFQOIUOMOIUO LJQQOLUF;

\o eoao lfmanfq `f| ljienlnjio| eo` hf| ljioinej oi o` fivuo lji `f mo{l`f

ovunmj`fq eo inqhoij ~ co`nj f `f| ljienlnjio| eo` h`jaj vuo |o eo|of ``oifq)

Wfqf o``j nmfhnifmj| ui qolnwnoio bnlnlnj vuo |o oiluoiqo f `f| ljienlnjio| eo

wqo|ni ~ omwoqfuqf eo `j| h`jaj| eo|wu| eo` ``oifej, |oqnf f|n;

O|o qf|rf|o eo hf| noio o` mn|mj wqja`omf eo` ``oifej eo h`jaj| wuo|

vuoefqf wfqo eo` hf| oi o` af`i eo 67 `nqj| `j wjeqfmj| qo|j`roq |n o` fivuo

ninlnf` o|f wqjrn|j eo ui omaj`j4

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O|o wqjlo|j |n lumw`o lji `j| qovun|nj| eo fw`nlflni eo f `o~ eo Aj~`o

Mfqnjo;

Lfinefe eo hf| = lo ~ U=lo

Fw`nlfiej `f bjqmu`f;

W6 s R6 = W1 s R1

6? fm s 67 ` = 6 fm s R1

6?7 ` = R1

O` rj`umoi bnif` |oq eo 6?7 `, fefwomj| fcjqf ui en|wj|nnrj wfqf ``oifq `j|

h`jaj|)

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Woqj |jqwqo|f& Ij |o wjeq ``oifq inihi h`jaj wuo| ij osn|o `f enboqoilnf eo

wqo|njio| vuo nmwu`|f o` ``oifej)

\J@_LNJI LJQQOLUF EO XF@UOQ WOQO[, LJI OSW@NLFLNJI EOINLJ@F\ JQEJO[ ;

O| qof` wuo| un`n{f `f enboqoilnf eo wqo|njio| wfqf o` ``oifej eo `j| h`jaj|;

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O|o wqjlo|j eo ``oifej oqmnifqf lufiej `f wqo|ni eoiqj eo` fivuo |of nhuf` f

`f wqo|ni vuo |o eo|of lji|ohunq eoiqj eo` h`jaj, IJUF @F QOE_LLNJI EO @FWQO\NJI OI O@ UFIV_O @F CO LF@L_@FEJ WJQ OL_FLNJI _INROQ\F@ O\UF F@@N \J@J

WFQF EFQ@O MF\ EOUF@@O F MN OSW@NLFLNJI)

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F` bnif` vuoefqf;

O|o `nmj wqjlo|j lumw`o lji `f| ljienlnjio| eo fw`nlflni eo `f `o~ eo Aj~`o

Mfqnjo, @f lfinefe eo hf| o| lji|fio wuo| `f lfinefe eo hf| oi o` fivuo f`

ninlnj o| `f mn|mf lfinefe eo hf| vuo o|f qowfqnef oi o` fivuo f` bnif` ~ jej|

`j| h`jaj| ``oifej|) @f omwoqfuqf o| lji|fio eo fluoqej f ljienlni eo`

wqja`omf)

W ninlnf` s R ninlnf` = W bnif` s R bnif`

W6 s R6 = W bnif` s R bnif`

#6? fm.#67 `nqj|. = #6 fm . # R fivuo $ R jej| `j| h`jaj|.

#6? fm.#67 `nqj|. = #6 fm . # 67 `nqj| $ s#6 `nqj..

S= 657

\J@J \O W_OEOI @@OIFQ 657 H@JAJ\ OI @F\ LJIENLNJIO\ EO@

WQJA@OMF

@f| f`uoqifunrf| ij mo|uqfi `f qo|wo|uf ljqqoluf)

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\J@_LNJI _UN@N[FIEJ OL_FLNJI _INROQ\F@ F_UJQ INLJ@F\JQEJO[ AFQQ_OUF

O` fivuo eo 67 ` ljinoio `f mo{l`f hf|oj|f f uif wqo|ni eo 6? fm, `f

omwoqfuqf eo|ljijlnef o| U ~ o` imoqj eo mj`o| jf`o| eo mo{l`f hf|oj|f

fmani eo|ljijlnej o| i, o|j| rf`jqo| o|i qo`flnjifej| wjq `f oluflniuinroq|f` eo `j| hf|o| f|;

6? fum s 67 = iQU )Olflni #6.

Lfef h`jaj ``oifej cf|f o` rj`umoi eo 6 ` ljinoio uif wfqo eo `f mn|mf

mo{l`f f uif wqo|ni eo 6 fm , f `f mn|mf omwoqfuqf eo|ljijlnef U ~ uiiumoqj eo mj`o| fmani eo|ljijlnej o| ih , o|j| rf`jqo| o|i qo`flnjifej|wjq `f oluflni uinroq|f` eo `j| hf|o| f|;

6 fum s 6 ` = ihQU )Olflni #1.

\n enrnenmj| fmaj| mnomaqj| eo `f| nhuf`efeo| #6. ~ #1. |o oiluoiqf uif

qo`flni oiqo o` imoqj eo mj`o| eo mo{l`f hf|oj|f oi lfef h`jaj ~ o` iumoqj

eo mj`o| eo mo{l`f hf|oj|f ninlnf`o| oi o` fivuo;

# 6? fum s 67 ` . * # 6 fum s 6 ` .= # iQU . * # ihQU .

Lfilo`fiej `f| uinefeo| ~ `f| rfqnfa`o| ljmuio| |o noio;

# 6? s 67 . * # 6 s 6 .= # i . * # ih .

6?7 = i * ihih = i * 6?7 = #6*6?7. i ) Olflni #

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# 6? s 67 . * # 6 s 67 .= # i . * #ib .

6?7 * 67 = i * ib

ib = i * 6? )) Olflni #?.

O|j |nhinbnlf vuo `f| mj`o| eo mo{l`f hf|oj|f eo` fivuo lji|umnef| oi o```oifej eo jej| `j| h`jaj|;

Mj`o| f` ninlnj Mj`o| f` bnif` = :

-i i * 6? = #65 * 6? . i

\faomj| eo `f Olflni #

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wfqf hf|o| qof`o| eowoieo eo vo hf| |o uqfuo ~ f v ljienlnjio| |o o|uuqfafkfiej, osn|uoi ufa`f| ~ hqfbnlf| wfqf lfef hf| jauoinef| oi uqfafkj| oi`fajqfujqnj o|uf hqfbnlf mo|uqf o` ljmwjqufmnoiuj eo` [ wfqf o` Cneqjhoij~ o` ljmwjqufmnoiuj eo` Co`nj vo ij fwfqolo oi o|uo hqfbnlj o| m| loqlfij f`hf| neof` vo o` Cneqjhoij, lfiej |o rfqnf `f wqo|ni)

Fivo o| if fwqjsnmflni wjeomj| oi `f hqfbnlf jauoioq [ wfqf if wqo|nieo 6? fum, `f `iof roqeo o| `f vo ljqqo|wjieo f 6? fum niuoq|oluf f `f `iof

qjkf eo` Cneqjhoij wfqf i rf`jq eo [ lf|n nhf` f 6,

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@f olflni |oqnf lfiej {=6;

O| eolnq `f olflni wfqf hf|o| neof`o|;

\n |o lmw`o o|uf olflni oiujilo| |o wjeqi fw`nlfq lf`vnoq `o~ neof` wfqfwqjlo|j| hf|oj|j| qo|uqnihnej|, oi o` wqja`omf vo o|ufmj| o|uenfiej eo`osfmoi eo femn|ni O\ LJQQOLUF @F FW@NLFLNI EO @F @O^ EO HF\O\NEOF@O\)

LJIL@_\NJI; Lji|neoqfiej o` bfljq eo ljmwqo|nan`nefe wfqf hf|o|qof`o|, @f cnwo|n| o| niljqqolf |n o| wj|na`o lji|neoqfq f o|f mo{l`f

hf|oj|f ljmj HF\ NEOF@ ~ fmani o| wj|na`o fw`nlfq `f `o~ Aj~`o

Mfqnjo wfqf |u |j`ulni)

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\OH_IEF LJMWQJAFLNJI WJQ @F @O^ EO RFI EOQ XFF@\

CNWJUO\N\; O` wqja`omf wqjwuo|j oi o` osfmoi eo femn|ni _IN o|mf` wqjwuo|j wuo| `f mo{l`f eo Cneqjhoij ~ Co`nj |o ljmwjqf ljmj

ui hf| qof` f f wqo|ni eo 6? fm ~ eoaoqf un`n{fq|o oluflnjio| wfqf

hf|o| qof`o| omf vuo ij o| lji|neoqfej oi o` omfqnj eo vumnlf

wfqf o` osfmoi eo nihqo|j)

Fujq; Inlj`f| Jqejo{ Afqqouf

@f| mj`lu`f| eo ui hf| noioi ui lnoqj rj`umoi wqjwnj ~ jluwfi ui `uhfq oi o`o|wflnj, oi ui hf| neof` `f| mj`lu`f| |o lji|neoqfi wuij| vuo ij noioirj`umoi ~ |o wuoeoi eo|w`f{fq wjq jej o` rj`umoi Reo` qolnwnoio)Woqj oi qof`nefe `f wqo|oilnf eo f| mj`lu`f| `o qo|f o|wflnj f` rj`umoi jf`)Wjq o|f qf{i fwfqolo oi `f oluflni uif en|mniulni oi o` rj`umoi lji `flji|fio a;

R ia Oswqo|ni 6

oi o` |nhunoio hqfbnlj wuoeoi ijfq vuo o` fmfj eo `f| mj`lu`f| eo Cneqjhoij|ji eo mulcj moijq fmfj vuo o` wqjwfij wjq okomw`j;

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@f wqo|ni okoqlnefwjq ui hf| eowoieo eo` imoqj eo lcjvuo vuo |uloeoi |jaqo`f| wfqoeo| eo` qolnwnoio vuo `j| ljinoio ~ fmani eo `f buoq{f iof lji vuo |owqjeulo o|o lcjvuo, woqj `f| mj`lu`f| oi qof`nefe |o fqfoi oiqo |n o|jwqjeulo `f qoeullni eo `f buoq{f lji vuo `f| mj`lu`f| eo` hf| hj`wofi `f|wfqoeo| vuo |oqi m| ean`o| ~ wjq lji|nhunoio| `f wqo|ni o| moijq eo `j vuo

|o janoio lji|neoqfiej ui ljmwjqfmnoij neof`)@f| fqfllnjio| oiqo `f| mj`lu`f| eowoieoi eo mulcj| bfljqo| ljmj oi`flo|wj`fqo| `j vuo wuoeo jqnhnifq mj`lu`f| wj`fqo| fuivuo ij |nomwqo o| f|,fmfj eo `j| il`oj|) O|j |o mneo oi `f oluflni eo Rfi Eoq Xff`| f|n;

Oswqo|ni 1

Oi o` lf|j eo` Cneqjhoij ~ eo` Co`nj ij osn|oi oi`flo| wj`fqo| ~ wjq `j fij ijosn|o `f wj|nan`nefe eo ljmwjqfq|o ljmj mj`lu`f| wj`fqo| ~ |u| il`oj| |ji`j| m| wovuoj| eo jej| `j| o`omoij|, oijilo| o|o bfljq eoao |oq mu~

wovuoj)

Woqj |n obolfi `f ljmwqjaflni iumqnlf; wfqf ljienlnjio| eo` wqja`omfW=6? fm ~ R= 67 ` ljmwqjafqfi vuo `j| rf`jqo| eo wqo|ni ~ rj`umoi ij |oroqi fbolfej| oi o|j| lf|j|)

LJIL@_\NJI; Lji|neoqfiej @F @O^ EO RFI EOQ XFF@\ wfqf hf|o|qof`o|, @f cnwuo|n| o| niljqqoluf |n o| wj|na`o lji|neoqfq f o|uf mo{l`f

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hf|oj|f ljmj HF\ NEOF@ ~ ufmani o| wj|na`o fw`nlfq `f `o~ Aj~`o Mfqnjuuowfqf | |j`lni)