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Nguyên tố Ganvani và cân bằng điện cực

Jun 04, 2018

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    1

    TH IN CC

    V PIN IN HA

    Chng5

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    2

    1. Khi nim Thinha

    2. Hiuthtrn ranh giipha

    3. Thincc4. Nhitnghcpin inha

    CHNG 5

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    3

    animal electricityLuigi Galvani (1737-1798)

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    1. Khi nimthinha

    Ha th(chemical potential): phn ng gp ca mi cht vonng lng chung ca h ha hc (xc nh bng cng a cut I khng mang in t trng thi kh i vo pha )

    mTh in ha: Khi cht l ht tch in (ion hoc in t) th cn

    phi tnh thm c tng tc ca ht tch in vi in trng.Phn ng gp ca ht tch in vo nng lng chung ca h

    th in ha (electrochemical potential).mi

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    Ha th (hay th in ha nu l ht tch in) l i lng cho bitcc tnh cht nhit ng s bin i nh th no khi thay ilng cht trong h Cng a 1 mol ht t chn khng voh.

    Th in ha v Ha th

    Mt cch hnh thc c th vit:

    iji

    i

    NTPN

    G

    ,,

    m

    F

    iji

    i

    NTPN

    G

    ,,

    m

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    Th in ha l cng chuyn mt mol ht tch in t chn

    khng vo bn trong mt pha no .

    i iZ F m m

    - Nith(Inner electrical potential): bininnglngdochuynhtiqua lpinkp trn bmtpha + nnglngtngtccaivicc intch tdo trong pha .

    Th in ha, ni th, ngoi th,

    (E.A.Guggenheim 1929)

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    mm FZiii

    FZi

    mi

    mm FZiii

    Gi thit: pha hnh cu, tch in;in tch phn bu thnh lp mng trn b mt cu

    i(Zieo) trong chn khng.

    i

    i

    i Hp phn ha hc i: cng chuyn it xa v

    cng ti mt im bn trong ca qu cu (pha ) tc b in tch b mt

    Hp phn inZiF: cng cn chuyn 1 molcu t i nmt im bn trong qu cu rngc b mt tch in

    Th in ha : cng phi tiu tn chuyn

    cu t inmt im bn trong pha tch in .

    mi

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    Ht khng tch in (Zi= 0):

    mm ii

    Ht bt k :

    i

    o

    ii aRTln, mm , lnoi i i iRT a z F

    m m

    Pha nguyn cht

    (Zi= 0; a

    i= 1):

    mm,o

    ii

    i i iz F m m

    Th in ha v Ha th

    in t trong kim loi klkle

    kl

    e Fmm )1(

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    2. Hiuthtrn ranh giipha

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    iu kin cn bng gia hai pha v:

    mm ii

    Th in ha v Cn bng pha

    1) CB trn ranh gii 2 KL tip xc

    21 21

    21

    mmmm

    FF MeM

    e

    M

    e

    M

    e

    Th Galvani :

    F

    M

    e

    M

    eMMM

    M

    12

    122

    1

    mm

    Trong cht rn nh kim loi, bn dn th in ha tng ng nnglng mc Fermi meM=NaEF)

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    1212

    Cc mc nng lng

    Nguyn t

    NL

    E = 0

    Mt phn tnh

    Mt phn tln

    Mc lpy

    Mctrng

    HOMO

    LUMO

    McFermi

    Mc chn

    khng

    Tnh cht ha hc c quyt nh bi trao i in tchuyn di t mc y trng.

    Vt liu khi

    Mc Fermi trong KL ging nh mc HOMO trong 1 phn t

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    Cu trc di nng lng

    Kim loi

    Cc dict li

    Di ha tr

    Khong cchv cng nhgia trngthi y vtrng

    Khong cchnh (nhngkhc 0) giatrng thi yv trng

    Khong

    cch lngia trngthi y vtrng

    Band Gap

    Chng ta tp trung vo kim loi.

    Bn dn Cht cch in

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    McFermi Tp trung vo in t gn ranh gii y/trng.

    E=0 (mc chn khng)

    EF(mc Fermi)

    Nnglng tithiu tch rakhi mu

    Phn b cc trng thi nng lng ca mi vt liu l duy nht.

    KL 1 KL 2

    EF(mc Fermi)

    in t cng gn mc chn khng th cng lin kt yu vi khi rn hay, nng lng ca in t cng cao

    Mi vt liu c mt mc nng lng Fermi khc nhau. Trong p.t, cc mc LUMO va HOMO xc nh, nhng trong KLc

    rt nhiu trng thi xung quanh mc Fermi

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    Hai vt dn tip xc nhau

    dng in t+++

    ++

    Dn ti cch bit in tch

    Hiu th tip xc

    Mc Fermi nh nhau trong ton h

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    Ion trong dung dch cu trc in t ca ion: HOMO, LUMO, HOMO-LUMO gap.

    Lowest Unoccupied Molecular Orbital

    Highest Occupied Molecular Orbital

    HOMO-LUMO Gap Mc Fermi

    - Trng thi ni phn t (quay, dao ng, ) v tng tc ca ionvi dung mi.

    - Mc Fermi!

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    Kim loi trong dung dch in ly

    Cc mc Fermi c

    xp thng hng

    in tch chuyn di cn bng cc mc

    Fermi,Gy ra cch bit intch v hiu th tipxc.

    +

    +

    +

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    Hai dung dch in ly

    +

    +

    +

    Mc Fermi

    Xut hin cch bit

    in tch lmbng mc Fermiv gy ra hiu thtrn ranh gii

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    Th tip xc

    Trong mi mch u c th tip xc khi c haivt liu khc nhau tip xc vi nhau.

    Trong chng trnh mn hc chng ta quantm nht n giao din kim loi dung dch.

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    (Hiu)ThVolta: chnh lchinthgiahai imtrong chn khng; mtimgnbmtcapha thnht, cn imkia th gnbmtcapha thhai. ThVolta l hiungoithcahai pha.ThVolta c thoc.

    (Hiu) thGalvani: hiuthgiahai imnmtrong lng hai pha(gisl 2 pha v ) hay chnh l hiunithca2 pha v .Hai pha ny c thl hai kim loikhc nhau hay mtkim loiv mtchtlng, hay giahai pha lng, .

    Th Gavani khng th o c

    ThGalvani v thVolta

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    Thbmt, thGalvani v thVolta

    Chn khng

    pha pha

    Hiu th volta

    Hiu th galvani

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    Sc in ng (the electromotive force)

    ij= ij

    ijbc nhy th trn ranh gii gia vt dn ivj; ith ca vt dn i.

    Sc in ng(s..) E ca mch (123NM) :

    E = 12+ 23+ ... + NM

    E = M1S.. ca mch ch gm cc kim loi s bng hiu in th gia vt dn cui

    cng v vt dn u tin.

    Mch h ng: vt dn u tin v cui cng hon ton ging nhau.

    Nu mch h ngch gm ton kim loi E = 0

    S.. ca mch h ng c t nht 1 cu thnh l cht in ly s khc 0.pin in hahay nguyn t galvani

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    Pin in ha nguyn t Galvani

    24

    Fig 18-14 Pg 877

    The copper/zinc electrochemical cell. The voltmeter measures thedifference in electrical potentials between the two electrodes.

    Hm Gibbs v Cng

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    Hm Gibbs v Cng

    dGT= dHT- TdS

    dHP dUP PdVdGT,P= dUT,P+ PdV - TdS

    dGT,P= TdS PdV + Win+ PdV - TdS

    dU = q + W

    q = TdS

    W = PdV + Win

    dUT,P= TdS PdV + Win

    dGT,P= Win

    Nh vy, hm Gibss l tm im ca in ha hc, v n xc nhlng cng in ti a c th nhn c t mt h ha hc.

    Hm Gibbs v Sc in ng (Hiu th pin)

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    Hm Gibbs v Sc in ng (Hiu th pin)

    dGT,P

    = Win

    dGT,P= Win

    ngoi

    Win ngoi= V.Q

    V: hiu th gia 2 u mch

    Q: in lng di chuyn

    H in haV = Epin(sc in ng)

    (nu h thun nghch)Q = n.F

    (khi 1 mol cht phn ng)

    /l Faraday

    dGT,P= Winngoi, max= nFEp in

    Wn GT,PThc t:

    Mi li h i i h hi

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    Mi lin h gia sc in ng v cc hm s nhit ng

    nF

    GE

    P

    T

    GTHG

    dT

    dET

    nF

    HE

    H s nhit ca s...:21

    21

    TT TT

    EEE

    d

    dE

    (E1v E2s.. ca

    nguyn t ti nhit

    T1v T2)

    TT d

    dEnF

    GS

    Td

    dEnFTnFEH

    G =nFE Cn bng, ng

    nhit, ng p

    S v hng s cn bng ca phn ng

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    g g g

    aA + bB cC + dD

    mba

    BA

    DCoii

    aaaaRTG

    dC

    .

    .ln

    GT,P= i.mi

    i

    o

    ii aRTlnmm

    1

    ba

    BA

    DC

    i

    a.a

    a.aa

    dC

    Go= imoi

    bB

    aA

    dDcC

    aa

    aaRTGG.

    .ln0

    baBA

    DC

    o

    PT

    aa

    aanF

    RTnFGE

    dC

    .

    .ln,

    (sp)

    )(ln

    .

    .ln

    o

    o

    jj

    ii

    d

    D

    c

    C

    bB

    aA

    a

    tca

    nF

    RTEE

    aa

    aa

    nF

    RTEE

    phng trnh Nernst

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    trng thi cn bng G = 0 nn

    00

    KlnRTG

    cba.a

    a.alnRTGG

    P,T

    BA

    DCo

    P,TP,T ba

    dC

    Go=nFEo=RT ln K

    cbba

    BA

    DC

    aa

    aaK

    dC

    .

    .

    cbKnF

    RTE lno

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    Trng thi tiu chun (i chng)

    Trng thi tiu chun thng c chn l:

    p sut = 1 bar(105Pa)

    Nng = 1 molal(mol cht tan/kg dung mi)

    Nhit = 298 K (25C = 298,15 K)

    NHNG

    Tt c cc hm nhit ng u ph thuc vo trng thi; khng cgi tr tuyt i (tr ENTROPY: c tr tuyt i theo l thuyt).

    nh lng cc hm nhit ng, quy c chn trng thi tiuchun.

    T thi ti h (i h )

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    n v ca p sut thng dng l atmosphere.

    1 atm = 1,0134 bar

    Trng thi tiu chun i vi p sut thng l 1 atm

    Trng thi tiu chun v nng hay dng nht : 1 M (mol/lit).

    Trng thi tiu chun (i chng)

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    Dng chuynintchin tch chuyn ng trong pin nh th no?

    NO3

    Zn

    NO3

    CuZn2+

    Cu2+Cl K+

    e e

    Nu nng 1 M:pin k tiuchun v hiu tho c = + 1,10

    V.

    V +

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    Bnh in phn

    NO3

    Zn

    NO3

    Cu

    Zn2+

    Cu2+Cl K+

    e e

    t hiu th ngoi theochiu ngc li.

    ln ca hiu th tvo phi > +1,10 V

    /c Cu s ha tan v Zns kt ta .

    DC V+

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    4.

    QUY C vSC IN NG VTH IN CC (I.U.P.A.C, 1953)

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    1) Nguyn t (pin) Galvani c biu din di dng s :

    Zn Zn2+(a1) Cu2+(a2) Cu hay

    Zn Zn2+(a1) Cu2+(a2) Cu (*)

    Pin Daniel

    Ranh gii phn pha: Tip xc dung dch :

    Ranh gii khng c th tip xc dung dch :

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    (-) Zn (s )ZnSO4(aq ) CuSO4(aq )Cu (s ) (+)

    Zn (s )ZnSO4(aq ) CuSO4(aq )Cu (s )

    Hnh thnh th tip xc dung dch/dung dch gia 2 ngn

    Trit tiu th tip xc dung dch/dung dch gia 2 ngn

    2. Sc in ng ca nguyn t Galvani

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    Sbng hiu ca th in cc bn

    phi trong s (xy ra phn ng kh)

    tr th in cc bn tri s (xy ra

    phn ng oxyha); hay:

    Epin= Ephi (catod) - Etri (anod)

    g g y

    cm

    dd

    cm

    dd Thtipxc giadung dch

    v cumui, thtipxc s

    trittiu khi tnh S

    3. Phn ng trong nguyn

    t

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    g g g y

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    4) Th in cc ca bn pin, th d

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    Zn2+Zn (a)

    Cu2+Cu (b)

    5)in cc hydro:

    Pt,H2(PH2) | H+(aH+)

    Th ca in cc hydro vi p sut ring

    phn ca kh hydro bng 1 bar v hot ion H+ bng 1 c quy c bng 0

    mi nhit .

    in cc H tiu chun:

    (k hiu: SHE hoc NHE)0o

    2/ HHE

    Th in cc

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    l sc in ng ca cc pin c in cc bn phi (trong

    s ) l bn pin v in cc bn tri l in cchydro tiu chun:

    (Pt) H2(1 bar)H+(a= 1)Zn2+Zn (a)

    (Pt) H2(1 bar)H+(a= 1)Cu2+Cu (b)

    vi phn ng trong pin xy ra theo chiu :

    H2 + Zn2+ H+ + Zn (a)

    H2 + Cu2+ H+ + Cu (b)

    Th in cc

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    o th in cc tiu chun

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    19.3

    Zn (s) | Zn2+(1 M) || H+(1 M) | H2(1 atm) | Pt (s)

    E0 = E0cathodeE0anode

    E0 = 0.76 V E0 = 0.34 V

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    E0 l th kh chun ( phn ngkh)

    E0 cng dng th cht oxyha c tnh oxy ha mnh

    Bn phn ng thun nghch

    Gi tr E0 khng thay i khithay i h s t lng

    Tm tt

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    Nguyn t galvani c to thnh t hai in cc (bn pin):anod v catod; trn catod xy ra phn ng kh, cn trn anod

    phn ng oxy ha. Trong s , in cc anod c vit bn tri, in cc catod

    c vit bn phi.

    Nu loi tr th tip xc gia cc pha lng th sc in ng

    ca nguyn t galvani bng hiu ca th in cc bn phi s (catod) tr i th in cc bn tri s (anod).

    Th in cc l sc in ng ca nguyn t c in cc bnphi (trong s ) l bn pin v in cc bn tri l in cc

    hydro tiu chun.

    Th ca in cc hydro tiu chun c quy c bng 0 minhit .

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    5.

    PHN LOI IN CC

    PHN LOI IN CC

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    in cc Calomel

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    2-0

    oo

    o

    )(-

    )(

    -

    )(22

    ][Clln

    2F

    RTEE

    log0.059EE;lnEE

    (S.H.E)mV268E

    Cl2Hg2e2ClHg

    -Cl-Cl

    aa

    nF

    RT

    aqlr

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    .6PHN LOI PIN IN HA

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    Pin Nng

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    - C th khng ti ionhoc c ti ion.

    - Hiu th khong vi chc n vi trm mV, c ng dng thc

    t.- Hin din nhiu trong c th sng y sinh (Nobel HH 1997)

    - Rt a dng trong ng dng phn tch ha hc, y sinh, mitrng, (u d cc loi)

    Nobel Ha hc 1997: 1/2 cho Paul D. Boyer and John E.Walker "enzymatic mechanism underlying the synthesis of

    adenosine triphosphate (ATP)"; cho Jens C. Skou"forthe first discovery of an ion-transporting enzyme, Na+, K+-

    ATPase".

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    Mt s ngun in ph bin

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    Pin s cp (Primary Batteries) : phn ng pin l btthun nghch pin khng sc.Pin th cp (Secondary Batteries): Phn ng pin lthun nghch pin sc

    Hai loi pin in ha c bn

    Pin s cp

    Pi kh (L l h )

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    Pin kh (Leclanche)

    Pin

    Pin leclanche kim

    Acquy ch

    Pin th cp - secondary batteries

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    Acquy ch

    Catod:

    Anod:

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    Pin liti

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    Pin nhin liu

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