5_ Electrochemistry.pdf
Transcript of 5_ Electrochemistry.pdf
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Ebejtrkjhelistry? Ztucy kn reb`tikfship getweef jhelij`b eferay fc ebejtrij`b eferay fc hkw kfe j`f ge jkf-
vertec iftk fkther.
Ebejtrkbytij jebb?Ebejtrij`b eferay Jhelij`b eferay
Ebejtrkjhelij`b jebb ? jhelij`b eferay Ebejtrij`b eferay (A`bv`fij jebb/ vkbt`ij jebb / C`fieb jebb)
Ebejtrkce Tktefti`b? Tktefti`b cinnerefje getweef the ebejtrkce fc the ebejtrkbyte.
Zt`fc`rc ebejtrkce pktefti`b ? Tktefti`b cinnerefje cevebkpec if jebb whef the aives ebejtrkce whijh is if jkft`jt with
its ikfs h`vifa jkfjeftr`tikf 0 lkb B0is jkupbec with st`fc`rc hycrkaef ebejtrkce.
Jebb pktefti`b ?Tktefti`b cinnerefje getweef the 7 ebejtrkces kn a`bv`fij jebb.
ELN ?Tktefti`b cinnerefje getweef the 7 ebejtrkces kn a`bv`fij jebb whef fk jurreft is cr`wf thrkuah the jebb.
Ejebb
< EW
- WB< E
j`thkce E
`fkce.
Jebb We`jtikf ? Ju(s) + 7@a+(`q) Ju+7(`q) + 7@a(s)
@t J`thkce(Wecujtikf) ? 7@a+(`q) + 7e 7@a(s)@t fkce (Wecujtikf) ? Ju(s) Ju+7(`q) + 7e
Jebb Wepreseft tikf ? Ju | Ju+7|| @a+| @a
Ejebb
< Ju/Ju@a/@a 7EE ++ -
ZHE ? Zt`fc`rc hycrkaef ebejtrkce
0 L HJb
H a`s7
H+(`q) + e7
0H
7(a)
k
H/H 7E + < 4
Ebejtrkjhelij`b Zeries ? She rr`faeleft kn let`b (kr spejies) if their ifjre`sifa recujifa pkwer (kr cejreeifa E) ismfkwf s ebejtrkjhelij`b series.
Ferfst Equ`tikf? Sk j`bjub te ebejtrkce pktefti b t fy jkfjeftr tikf.
)s(f
)`q( LfeL ++
\L]
\L]bf
fN
WSEE
f
)s(k
L/LL/L ff +
-< ++
Gut jkfjeftr`tikf kn skbic L is t`mef `s ufity
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] \+-< ++ f
k
L/L
'L/L
L
0bf
fN
WSEE ff
Kr ] \++< ++ fk L/LL/L LbffNWS
EE ff
N < 9>381 J lkb0
W < 8.:03 Om-0lkb0
]Lf+\ < jkfjeftr`tikf kn spejies.
S < 798 m
f < fk kn lkbes kn e ifcij`tec if g`b`fjec eqf-
] \++< ++ fk L/LL/L Lbff459.4
EEff
If C`fieb jebb
(0) _f | _f+7||Ju+7| Ju
] \77
kjebbJebb
_f
Jubka
7
459.4EE
+
++ < 343.7 Z jl7lkb0
` < 4l
Jl
B
B< 07
07
lkbjlZ
lkbZjl
7.343
05.3>-
-
< 4.0034
(II) J`bjub`tikf kn cisskji`tikf jkfst`ft (MJ)
HJKKH(`q) HJKK(`q) + H(`q)
J K K
J(0 `) J` J`
M 1 043lkbB
P.3 In jurreft kn 4.5 lpere nbkws thrkuah let`bbij wire nkr 7 hkurs, thef hkw l`fy ebejtrkfs wkubc nbkw
thrkuah the wire ;
Zkb. Jh`rae < I t
Jh`rae 4 >4 Z) < :>44 @Z < :>44 J
Fk. kn ebejtkrfs nbkwia thrkuah the wire tgy p`ssifa jh`rae kn kfe n`r c`y (9>544 J)
< >.477 047:ebejtrkfs
P Fk. kn ebejtrkfs nbkwifa thrkuah the wire gy p`ssifa jh rae kn :>44 J
< >.477 047:J9>544
J:>44< 7.73> 0477ebejtrkfs
P.5 Qrite the jhelistry kn rejh`raifa the be c stkr`ae g`ttery, hiahbiahtifa bb the l`teri`bs th`t re ifvkbvec
curifa re`jh`raifa.
Zkb. Curifa rejh`raifa the jebb is kper`tec bime f ebejtrkbytij jebb i.e., ebejtrij`b eferay is suppbiec nrkl skle exterf`
skurjes. Ebejtrkce re`jtikfs re reverse kn thkse curifa cisjh`raifa.
TgZK3(s) + 7eTg(s) + ZK3
7(`q) Wecujtikf
TgZK3(s) + 7H7K(s) TgK7(s) + ZK37(`q) + 3H+(`q) + 7eKxic`tikf
7TgZK3(s) + 7H7K(s) Tg(s) + TGK7(s) + 3H+(`q) + 7ZK3
7(`q)
P.> Cepijt the a`bv`fij jebb if whijh the re jtikf
_f(s) + 7@a+(`q) _f7+(`q) + 7@a(s) t`mes pb`je.
Nurther shkw ?
(i) Qhijh kn the ebejtrkces is fea`tiveby jh`raec ;
(ii) She j`rrier kn the jurreft if the jebb.
(iii) Ifcivicu`b re`jtikfs t e`jh ebejtrkce.
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Zkb._f(s) + 7@a (`q)
+
_f (`q) + 7@a(s)7+
Wecujtikf
Kxic`tikf
_f(s) | _f7+(`q) @a+(`q) | @a(s) C`fieb jebb.
(i) @fkce kn _f with fea tive jh rae = j thkce kn @a with pksitive jh`rae.
(ii) Ebejtkfrs wib nbkw nrkl _f if Ju ifkuter jirjuit fc jurreft wibb nbkw nrkl Ju tk _f.
(iii) J`thkce ? _f _f7++ 7e = @fkce ? 7@A++ 7e@a(s)
P.1 J`bjub`te the st fc rc jebb pktefti bs kn a`bv`fij jebbs if whijh the nkbbkwifa re`jtikfs t`mes pb je ?
(i) 7Jr(s) + :Jc7+(`q) 7Jr:+(`q) + :Jc(s)
(ii) Ne7+(sq) + @a+(`q) Ne:+(qq) + @a(s)
J`bjub`te the rA fc equibigriul jkfst`ft kn the re`jtikfs.
Zkb. (i) 7Jr 7Jr:++ >e, (Kxic`tikf)
:Jc7+ >e:Jc, (Wecujtikf)kjebbE 544 O < 09>8>4 Okr CrA < 09>.8> mO lkb
0
@bsk CrA < 7.:4: 8.:03 798 bka MM < ftibka :3.5403 < :.01: 04:3
(ii) Ne7+Ne:++ e, (Kxic`tikf)
@a++ e@a+(Wecutikf)Ek
jebb< Ek
J`thkce Ek
@fkce
544 4.4:kr C
rA < 7895 O lkb0
@bsk CrA < 7.:4: WS bka M
7895 < 7.:4: 8.:03 798 bka M
M < ftibka 4.5413 < :.77
P.8 Qrite the Ferfst equ tikf fc eln kn the nkbbkwfia jebb t 798 M ?
(i) La(s) | La7+(4.440 L)|| Ju7+(4.4440 L) | Ju(s)
(ii) Ne(s) | Ne7+(4.440 L) || H+(0 L)| H7(a) (a) (0 g`r) Tt(s)
Zkb. (i) Ejebb< (Ek
J`thkce Ek
`fkce) f
459.4bka
\Ju]
\La]7
7
+
+
Ejebb< (4.:3 ( 7.:>)) 7
459.4bka
4440.4
440.4< 7.>8
(ii) Ejebb< (Ekj`thkce E
k`fkce)
045Z jl0. J`bjub`te its lkb`r jkfcujtivity. In 4lB nkr
`jetij jic is :94.5 Z jl7lkb0, wh`t is its cisskji`tikf jkfst`ft;
Zkb. Bl< J
0444M .1 5 -< :7.1> Z jl7lkb0
@bsk
` < 5.:941>.:7
4l
l e> -
a717,@b7
Sk prkcuje 7 71 a @b, Ebejtrijtiy requirec < >N
RSk prkcuje 34 a @b, ebejtrijity requirec
34
544J < 09:444J
(ii) Ne7+ Ne:+e
kr 7NeK +7
0K7Ne7K:
Zk 0 lkb kn NeK wibb require 9>544 J.
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P.07 Usifa the st`fc`rc ebejtrkce pktefti`bs aivef if the S gbe, precijt in the re`jtikf getweef the nkbbkwifa
is ne`sigbe?
(`) Ne:+(`q) fc I(`q)
(g) Ne:+(`q) fc Gr(`q)
(j) Gr7(`q) fc Ne7+(`q)
^49.0^53.4^11.4E
EEEEbejtrkce kGr/Gr
k
I/I
k
Ne/Ne 777: -++
Zkb. (`) 7Ne:+ + 7e 7Ne7+
7 I I7+ 7e
[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[
7Ne:++ 7I 7Ne7+ + I7Shus twk h`bn jebbs `re Ne:/Ne7+ fc I7/I
Ejebb < Ej`thkce E`fkce
0> J
Fkw, P < I t
I .8< 8.>0> lpere
P.03 Jkfsicer the nkbbkwifa ci`ar`l kn lerjury jebb
( ) Qhijh sugst`fje jts s j thkce fc whijh jts s fkce ;
(g) Leftikf the ebejtrkbyte usec if the jebb
Jebb j`fJ`thkceZep`r`tkr
Are`met
@fkce@fkce j p
(j) Qh`t is the jebb pktefti b kn this jebb ;
(c) Qhy ckes the vkbt ae kn lerjury jebb rel`if jkfst ft
thrkuahkut if bine ;
Zkb. (`) @fkce _ifj jkft ifer, J thkce J`rgkf rkc
(g) @ p`ste kn HaK + MKH
(j) 0.:5 (c) Gej use kver`bb jebb re jtikf ckes fkt ifvkbve fy ikf whkse jkfjeftr`tikf j`f jh fae
_f(s) + HaK(s) _fK(s) + Ha(s)
P.05 @t wh`t pH wibb hycrkaef ebejtrkce `t 798 M shkw `f ebejtrkce pktefti`b kn 4.008 , whef H7a`s is
guggbec t 0 tl. pressure.
Zkb. She ebejtrkce re`jtikf ifvkbvec is?
H+(`q)
+ e 7
0H
7(a)
\H]
0bka
f
4590.4EE 4
H/HH/H 77 +-< ++
4.008 < 4 0
4590.4bka
\H]
0+
bka\H]
0+ 7pH < 7
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Exerjise0
P.0 If the gutkf jebb wiceby usec if w`tjhes fc kther cevijes, the nkbbkwifa re`jtikf t`mes pb`je
_f(s) + @aK(s) + H7K(b) _f7+(`q) + 7@a(s) + 7KH(`q)
Ceterlife CrA fc E nkr the re`jtikf.
P.7 Cenife jkfcujtivity `fc lkb r jkfcujtivity nkr the skbutikf kn f ebejtrkbyte. Cisjuss their v`ri tikf with jkfjeftr tikf.
P.: She jkfcujtivity kn 4.74 L skbutikf kn MJb t 798 M is 4.4738 Z jl0. J`bjub`te its lkb`r jkfcujtivity.
P.3 Hkw lujh jh`rae is requirec nrkl the nkbbkwifa recujtikfs?
(i) 0 lkb kn @b:+tk @b
(ii) 0 lkb kn Ju7+tk Ju;
(iii) 0 lkb kn LfK3tk lf7+;
P.5 @ skbutikf kn Fi(FK:)7is ebejtrkbysec getweef pb`tiful ebejtrkces usifa jurreft kn 5 lperes nkr 74 lifutes.
Qh`t l`ss kn Fi is cepksitec t the j`thkce;
P.> Shree ebejtrkbytij jebbs @, G, J jkft`ififa skbutikf kn _fZK3, @aFK
: fc JuZK
3, respejtiveby re jkffejtec if
series. @ ste`cy jurreft kn 0.5 lperes re p`ssec thrkuah thel uftib 0.35 a kn sibver cepksitec t the j`thkce kn
jebb G. Hkw bkfa cic the jurreft nbkw ; Qh`t l`ss kn jkpper fc kn zifj were cepksitec;
P.1 Qh`t is the nufjtikf kn s`bt gricae if ebejtrkjhelij`b jebbs;
P.8 @t ifnifite cibutikf, the lkb`r jkfcujt`fje kn F`+`fc ZK37ikfs `re 54 Z jl7lkb0`fc 0>4 Zjl7lkb0
respejtiveby. Qh`t wibb ge the lkb`r jkfcujt`fje kn skciul subph`te t ifnifite cibutikf;
P.9 Qhijh wibb h`ve are`ter lkb`r jkfcujtivity;
"Zkbutikf h`vifa 0 lkb kn MJb if 744 jj kr 0 lkb kn MJb if >44 jj."
P.04 Qh`t re sejfc`ry jebs; Aive the fkce kr j`thkce re`jtikf kn Fijmeb -J`cliul stkr`ae jebb.
P.00 Qh`t is jkrrksikf ; Hkw is j`thkcij prktejtikf kn irkf cinnereft nrkl its a`bv`fis`tikf;
P.07 Qh t ck yku le`f gy e.l.n. kn jebb. J bjub te the e.l.n. kn the jebb La(s) |La7+(4.7 L) ||@a+(0 04:L)|@a,k
@a/@aE +
< 4.84 ,k
@a/La7E + < 7.:1 , Qh t wibb ge the ennejt kf e.l.n., in jkfj. kn La7+is cejre`ec tk 4.0 L.
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Exerjise7
P.0 Jkfcujtivity kn 4.44731 L jetij jic is 1.89> 045Z jl0. J`bjub`te its lkb`r jkfcujitvity. Inb nkr jetij`ijc is :94.5 Z jl7lkb0, wh`t is its cisskji`tikf jkfst`ft ; (@fs. 0.85 045) ]J.G.Z.E. 7443\
P.7 Hkw ckes lkb`r jkfcujtivty v`ry with jkfjeftr`tikf nkr ]J.G.Z.E. 7443\
(i) we`m ebejtrkbyte
(ii) strkfa ebejtrkbyte ; Aive re`skf nkr these v`ri`tikfs
Ztrkfaebejtrkbyte)lkbZjl( 07 -b
Qe m ebejtrkbyte
7/0)bitre/lkb(J
P.: (`) If the guttkf jebb, wiceby usec if w`tjhes fc kther cevijes the nkbbkwifa re`jtikf t`mes pb`je?
_f(s) + @a7K(s) + H7K(b) _f7+(`q) + 7@a(s) + 7KH(`q) ]J.G.Z.E. 7445\
Ceterlife E fc CrA nkr the re`jtikf
Aivef4
@a/@aE + < + 4.84 ,4
_f/_f7E + < 4.1> ..
(g) Expb`if with ex`lpbes the terls we`m fc strkfa ebejtrkbytes. Hkw j`f these ge cistifauishec;
P.3 Trecijt the prkcujts kn ebejtrkbysis kgt`ifec t the ebejtrkces if e`jh j`se whef the ebejtrkces usec re kn pb`tiful?
]J.G.Z.E. 7445\
(i) @f quekus skbutikf kn @aFK: (ii) @f qekus skbutikf kn H7ZK3
P.5 (`) Zt`te twk cv`ft`aes kn H7 K
7nueb jebb kver krcif`ry jebb.
(g) Zibver is ebejtrkcepksitec kf let`bbij vesseb kn tkt`b surn`je `re` 944 jl7gy p`ssifa jurreft kn 4.5 lp nkr
twk hkurs. J`bjub`te the thijmfess kn sibver cepksitec.
(Cefsity kn @a < 04.5 a jl:, @t. l`ss kn @a < 048 lu) ]J.G.Z.E. 744>\
P.> (`) Aive re`skfs nkr the nkbbkwifa ? ]J.G.Z.E. 744>\
(i) Wusifa kn irkf is quijmer if s`bife w`ter th`f is krcif`ry w`ter.
(ii) @bulifiul let`b j`ffkt ge prkcujec gy the ebejtrkbysis kn quekus skbutikf kn bulifiul s`bt.
P.1 (`) J`bjub`te the e.l.n. kn the jebb ]J.G.Z.E. 7441\
La (s) |La7+(4.0L||Ju7+(0 04:L)| Ju(s)
Aivef ? E Ju7+/Ju < + 4.:3 , E La+7/La < 7.:1
(g) Expb`if with ex`lpbes the terls we`m fc strkfa ebejtrkbytes.
P.8 (`) She resist`fje kn jkfcujtivity jebb jkft`ififa 4.440 L MJb skbutikf t 798 M is 0544 Q. Qh`t is the jebbjkfst`ft, in the jkfcujtivity kn 4.440 L MJb skbutikf t 798 M is 4.03> 04:Z jl0;
(g) Trecijt the prkcujts kn ebejtrkbysis if the nkbbkwifa ? ]J.G.Z.E. 7441\@ skbutikf kn H7ZK3with pb`tiful ebejtrkces.
P.9 Jkfcujtivity kn 4.44730 L `jetij `jic skbutikf 189> 045Z jl0. J`bjub`te its lkb`r jkfcujtivity if this
skbutikf. In 4lB nkr `jetij `jic if :94.5 Z jl7lkb0, wh`t wkubc ge its cisskji`tikf jkfst`ft;
]J.G.Z.E. 7448\
P.04 She jkfcujtivity kn 4.74 L skbutikf kn MJb t 798 M is 4.4738 Z jl0. J`bjub`te its lkb`r jkfcujtivity.
]J.G.Z.E. 7448\
P.00 Express the reb`tikf getweef jkfcujtivity fc lkb`r jkfcujtivity kn skbutikf. ]J.G.Z.E. 7448\
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P.07 (`) Zt`te Mkhbr`usjh's B`q kn ifcepefceft liar`tikf kn ikfs. Hkw j`f the cearee kn cisskji`tikf kn jetij jic if
` skbutikf ge j`bjub`tec nrkl its lkb`r jkfcujtivity c`t`; ]J.G.Z.E. 7448\
(g) (i) Nkrlub`te the ebejtrkjhelij`b jebb represeftifa the re`jtikf
7Jr(s) + :Ne+7(`q) 7Jr+:(`q) + :Ne(s)(ii) J`bjub`te E
jebb(iii) J`bjub`te Ejebb `t 75J in
]Jr:+\ < 4.0 L `fc ]Ne+7\ < 4.40 L
Aivef ? 4
Jr/Jr:E + < 413 ,
4
Ne/Ne 7E + < 4.33 ^
P.0: Qh`t is le`ft gy 'bilitifa lkb`r jkfcujtivity' ; ]J.G.Z.E. 7449\
P.03 Express the reb`tikf lkfa the jebb jkfst`ft, the resist`fje kn the skbutikf if the jebb fc the jkfcujtivity kn the
skbutikf. Hkw is the jkfcujtivity kn skbutikf reb`tec tk its lkb`r jkfcujtivity;
]J.G.Z.E. 7449\
P.05 Aivef th`t the st`fc`rc ebejtrkce pktefti`bs(E) kn let`bs `re?
M+/M < 7.9: , @a+/@a < 4.84 , Ju7+/Ju < 4.:3
La7+/La < 7.:1 , Jr:+/Jr < 4.13 , Ne7+/Ne < 4.33 ,
@rr`fae these let`bs if f ifjre`sifa krcer kn their recujifa pkwer.
P.0> Swk h`bn-re`jtikfs kn f ebejtrkjhelij`b jebb re aivef gebkw? ]J.G.Z.E. 7449\
LfK3(`q) + 8H+(`q) + 5 eLf7+(`q) + 3H
7K(b), E < + 0.50
Zf7+(`q) Zf3+(`q) + 7 e , E< + 4.05 .Jkfstrujt the reckx re`jtikf equ`tikf nrkl the twk h`bn -re`jtikfs fc j`bjub`te the jebb pktefti`b nrkl the st`fc`rc
pktefti`bs fc precijt in the re`jtikf is re`jt`ft kr prkcujt n`vkurec.
P.01 Cenife the nkbbkwifa ? ]J.G.Z.E. 7404\
(i) Krcer kn re`jtikf (ii) @jtiv tikf eferay kn re`jtikf
P.08 Qh`t type kn jebb is be`c stkr`ae g`ttery; Qrite the fkce fc the j`thkce re`jtikfs fc the kver`bb jebb re`jtikf
kjjurrifa if the use kn be`c stkr`ae g`ttery. ]J.G.Z.E. 7404\
P.09 Swk h`bn jebb re`jtikfs kn f ebejtrkjhelij`b jebb re aivef gebkw? ]J.G.Z.E. 7404\
LfK3(`q) + 8H+(`q) + 5eLf7+(`q) + 3H7K(b), E < + 0.50
Zf7(`q) Zf3+(`q) + 7e, E < + 4.05 jkfstrujt the reckx equ`tikf nrkl the twk h`bn jebb re`jtikfs fc precijt in this re`jtikf n`vkurs nkrl`tikf kn
re`jt`fts kr prkcujt shkwf if the equ`tikf.
P.74 (`) Qh`t type kn ` g`ttery is be`c stkr`ae g`ttery; Qrite the `fkce `fc j`thkce re`jtikfs `fc the kver`bb jebb
re`jtikf kjjurrifa if the kper`tikf kn be`c stkr`ae g`ttery. ]J.G.Z.E. 7400\
(g) J`bjub`te the pktefti`b nkr h`bn-jebb jkft`ififa 4.04 L M7Jr
7K
1(`q, 4.74 L Jr:+(`q) fc 0.4 043L H+(`q)
She h`bn -jebb re`jtikf is
Jr7K
1
7(`q) + 03H+(`q) + >e 7Jr:+(`q) + 1H7K(b),
`fc the st`fc`rc ebejtrkce pktefti`b is aivef s E < 0.::
P.70 (`) Hkw l`fy lkbes kn lerjury wibb ge prkcujec gy ebejtrkbysifa 0.4 L Ha(FK:)7skbutikf with jurreft kn 7.44@ nkr : hkurs ; ]Ha(FK
:)
7< 744.> a lkb0\ ]J.G.Z.E. 7400\
(g) @ vkbt`ij jebb is set up t 75J with the nkbbkwifa h`bn-jebbs @b:+(4.440) fc Fi7+(4.54L). Qrite f equ`tikf nkr
the re`jtikf th`t kjjurs whef the jebb aefer`tes `f ebejtrij jurreft `fc ceterlife the jebb pktefti`b. (Aivef ?
^>>.0E,^75.4E k
@b/@b
k
Fi/Fi :7 -
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P.73 She st`fc`rc ebejtrkce pktefti`b (E) nkr C`fiebb jebb is 0.0 . J`bjub`te the CA nkr the re`jtikf_f(s) + Ju7+(`q) _f7+(`q) + Ju (s) (0 N < 9>544 J lkb0). ]J.G.Z.E. - 740:\
P.75 J`bjub`te the eln kn the nkbbkwifa jebb t 75J ?
@a(s) |@a+(04:L) || Ju7+(040L) | Ju (s)
Aivef Ejebb
< + 4.3> ^ `fc bka 04f< f. ]J.G.Z.E. - 740:\