3.2. Chương 4. Sự Vận Chuyển Điện Tích - Dẫn Điện Trong Dd Điện Ly_4T_RR

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    1

    CHNG 4

    S VN CHUYN IN TCH

    DN iN

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    2

    Ni dung

    4.1. Khi nim c bn4.2. dn in

    4.3. Linh ion v linh ion H+- OH-

    4.4. dn in ca dung dch in ly trong dung mi khc

    4.5. S chuyn vn ca cc ion

    4.6. Phng php o dn in v ng dng

    4.7. Bi tp

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    Vt th cng loi

    4.1. Khi nim c bn

    4.1.1. Vn chuyn in tch

    Ionion

    in t - in t

    Thay i thnh phn ha hc

    Khi dn in, ti b mt tip xc

    Phn ng ha hc xy ra

    Vt th khc loi

    Ionin t

    in t - ion

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    Nhng dung dch in ly,

    cht in ly nng chy, cckh ion ha.

    Dn in do s chuyn vn

    ca cc ion.

    4.1.2. Phn loi dy dn

    Da vo bn cht dn in,

    FARADAY chia thnh 2 loi

    Dy dn loi 1 Dy dn loi 2

    Nhng dy lm bng kim loi

    (ng, bc, nhm) hay bndn.

    Dn in do s dch chuyn ca

    cc in t (electron) v l trng

    4.1. Khi nim c bn

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    Cc m (Catod)

    + Electron chuyn t in cc (ni

    cc M ngun in) n ion(trong dung dch)

    + Phn ng kh xy ra

    Cu2+ + 2e = Cu

    Fe3+ + e = Fe2+

    2H2O + 2e = H2 + 2OH-

    Cc dng (anod)

    + Electron chuyn t ion (trong

    dung dch) n in cc (nicc DNG ngun in)

    + Phn ng kh xy ra

    4OH- = O2 + 2H2O + 4e

    Fe2+ = Fe3++ e

    Zn = Zn2+ + 2e

    4.1.3. S in phn

    4.1. Khi nim c bn

    Tngqu trnh

    Dy dn loi 1(ANOD)

    Dy dnloi2

    Dy dnloi2 (CATOD)

    q

    q

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    Trong :q : in lng i qua dung dch cht in ly (culng)I : cng dng in (A)

    t : thi gian (s)k0: h s t l = /F

    Lng cht thot ra hay bm ln b mt in

    cc khi in phn, t l thun vi in lng i

    qua dung dch .

    m = k0.I.t = k0.q

    4.1.4.nh lut Faraday

    4.1. Khi nim c bn

    nh lut Faraday 1

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    nh lut Faraday 1

    4.1.4.nh lut Faraday

    4.1. Khi nim c bn

    chuynha mtnglnggamcamtchtbtkbnginphn cnmtinlngbngchnh sFARADAY.

    Cho inlng1F qua th thu c1 lg

    V k0= /FNn q = 1F m = k0x1F = ng lng in ha)

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    nh lut Faraday 1

    4.1.4.nh lut Faraday

    4.1. Khi nim c bn

    Cu 179183

    Bi tp:

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    Khi cho cng mt in lng i qua cc dung

    dch in ly khc nhau th lng cht thot ra

    hay bm ln trn b mt in cc t l ving lng in ha ca n.

    nh lut Faraday 2

    4.1.4.nh lut Faraday

    4.1. Khi nim c bn

    Cu 178Bi tp:

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    1C (culong) = 1 ampe.giy

    1F = 26,8 ampe.gi = 96484,520 96500 C

    4.1.4.nh lut Faraday

    4.1. Khi nim c bn

    Mt s chuyn i n v

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    4.2. dn in

    4.2.1. dn in ring

    dn in ring ( -1.cm-1)

    L dnincamtdung dchc thtch

    V = 1cm3, ctgiahai inccphngsong

    song c din tch nhnhau (cm2) v cch nhau 1

    cm.

    - in tr ring, in trca dy dn di 1cm, tit

    din 1cm2

    .

    1

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    sR;

    R

    1L

    Mt s cng thc quan h

    4.2. dn in

    4.2.1. dn in ring

    t:

    s

    k : hng s bnh in cc.

    L.k

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    L dnincamt th tch tnh theo cm3

    changmtng lng gam chtin ly

    nmgia hai incc phng song song cch

    nhau 1cm.

    dn in ng lng (cm2/lg. )

    4.2. dn in

    4.2.2. dn in ng lng

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    Trong :

    CN : nng ng lng

    : dn in ng lng (cm2. -1.lg-1)

    Cng thc tnh:

    4.2. dn in

    4.2.2. dn in ng lng

    NC1000.

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    4.6. PP o dn in - ng dng

    4.6.1. Phng php o dn in

    in trcadung dchKCl 0,02N 25oC trong mtbnh o

    dninocl 457. Bitdninring cadung dch

    l 0,0028 -1.cm-1. Dng bnh ny odnincadung dch

    CaCl2cha0,555g CaCl2trong 1 lt c gi trl 1050. Xc nh

    dninnglngcadung dchCaCl2?

    V d1

    Cu 233 238Bi tp:

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    : dn in ng lng gii hn (dung dch v cng long)

    A : gi tr thc nghim. Ph thuc T, P, dung mi, cht in ly

    i vi cht in ly mnh, thch hp PT thc nghim Kohlrausch:

    4.2. dn in

    4.2.2. dn in ng lng

    Trong :

    nh lut th nhtKohlrausch

    CA-

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    i vi cht in ly mnh (= 1)

    Vi cht in ly yu khi dung dch v cng long:

    i vi cht in ly yu:

    , +, -: dn in ng lng ti hn cc ion vi

    dung dch v cng long (cm2/.lg)

    4.2. dn in

    4.2.2. dn in ng lng

    Trong :

    nh lut th haiKohlrausch

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    4.2. dn in

    4.2.2. dn in ng lng

    Bit dnin ng lng gii hn 250C ca dung dch

    HCl; CH3COONa v NaCl ln lt l 426,1; 91 v 126,5

    cm2/.lg. Tnh caCH3COOH nhittrn?

    V d2

    Cu 160

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    4.2. dn in

    4.2.2. dn in ng lng

    dninng lnggiihn250C cadung dch trong

    nc C2H5COONa, NaCl v HCl ln lt l 85,9; 126,45 v

    425,15 cm2/.lg.

    a. Tnh caaxt propionic nhittrn?

    b. Xc nhnngH+nubitdninnglngcaaxt ny bng41,3 cm2/.lg?

    V d3

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    4.2. dn in

    4.2.2. dn in ng lng

    i vi cht in ly yu:

    Kho st qu trnh phn ly:

    AB = A+ + B-

    Ta c hng s phn ly nh sau:

    C.

    K2

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    4.2. dn in

    4.2.2. dn in ng lng

    Quan h gia - C

    Cht in ly mnh (PT thc nghim Kohlrausch):

    Cht in ly yu (1 1), phng trnh nghim ng:

    CA-

    cK.

    12

    .C

    1

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    4.2. dn in

    4.2.2. dn in ng lng

    nh lut gii hn Debye - Huckel

    nh lut gii hn Debye Huckel v h s hot (hay phng

    trnh gn ng bc nht):

    Phng trnh gii hn ca h s hot trung bnh c dng:

    cI.l

    2ii Z.Ag

    cI..l ZZ.Ag

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    4.2. dn in

    4.2.2. dn in ng lng

    nh lut gii hn Debye - Huckel

    cI.l

    2ii Z.Ag

    Nu dng nng molan, khi dung dch long Ci= mi.o

    cI..l ZZ.Ag

    mI.l

    2ii Z'.Ag

    mI..l ZZ'.Ag

    250C, A = 0,509

    o.A'A

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    4.2. dn in

    4.2.2. dn in ng lng

    nh lut gii hn Debye - Huckel

    250

    C, s gn ng bc hai c dng

    I.B.1

    I.l

    aZ.Ag

    2ii

    I.B.1

    I.l

    aZ.Z.Ag

    I1

    I.l

    2ii Z.AgI1

    I.l

    Z.Z.Ag

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    4.2. dn in

    4.2.2. dn in ng lng

    nh lut gii hn Debye - Huckel

    Khi nng dung dch ln hn, vt qu nng gii hn ca nhlut gii hn (Pt gn ng bc hai):

    250C:ang knh hu hiu trung bnh ion

    A = 0,509 mol-1/2.dm-1/2

    B = 0,329.107dm1/2.mol-1/2.nm-1

    I.B.1

    I.l

    a

    Z.Ag2ii

    I.B.1

    I.l

    a

    Z.Z.Ag

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    4.2. dn in

    4.2.2. dn in ng lng

    Phng trnh Onsager

    i vi cht in ly 2 1 trong nc, PT Onsager c dng:

    i vi cht in ly 1 1 trong nc, PT Debye Onsager:

    C.,

    C

    .T.T.2/12/3

    - thm in mi; - nht; c nng

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    Linh ion chnh l tc tuyt ica cc ion, n vcm2/von.giy.

    Gi: +, -l tc chuyn ng cc iono+, o-l tc tuyt i cc ion

    Ta c:

    4.3. Linh ion Linh ion H+- OH-

    4.3.1. Khi nim

    : Cng in trng

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    p dng nh lut Ohm v kt hp mt s biu thc khc, ta c

    kt qu cui cng:

    4.3. Linh ion Linh ion H+- OH-

    4.3.1. Khi nim

    in ly mnh:

    in ly yu:

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    Linh ca cc ion trong dung dch nc thng c cng

    ln khong 6.10-4 cm2/V.s

    Ring linh ca H+v OH-rt ln:

    + H+: 36,3.10-4cm2/V.s

    + OH-: 20,5.10-4cm2/V.s

    4.3. Linh ion Linh ion H+- OH-

    4.3.2. Linh ion ca cc ion H+

    v OH-

    Nguyn nhn

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    dn in ca cc dung dch khc dung mi nc c

    xc nh qua cc i lng Cion, tc chuyn vn v bncht dung mi.

    Thng thng dn in ca chng nhhn so vi trong

    nc, l do phn ly thp. (ngoi l NH3trong HCN)

    4.4. dn in trong cc dung mi khc

    nc.

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    4.5. S chuyn vn cc ion

    4.5.1. Khi nim

    L tsgiain lngmang bimt loi ion

    no qua tit din ca cht in ly v tng

    inlngiqua titdindung dchinly .

    S chuyn vn cc ion (s ti)

    i

    ii

    q

    qt

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    4.5. S chuyn vn cc ion

    4.5.1. Khi nim

    Trong dung dchchahai loiion gmcation v anion th:

    vv

    v

    vv

    v

    qq

    qt

    oo

    o

    vv

    v

    vv

    v

    qq

    qtoo

    o

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    4.5. S chuyn vn cc ion

    Anod

    (+)

    Catod

    (-)

    + + + + + +

    _ _ _ _ _ _

    + + + + + +

    _ _ _ _ _ _

    + + + + + +

    _ _ _ _ _ _

    Vng I Vng II Vng III

    + + + + + +

    _ _ _ _ _ _

    (A)

    (B)

    (C)

    + + + + + +_ _ _ _ _ _ + + + + + +_ _ _ _ _ _ + + + + + +_ _ _ _ _ _

    +

    _

    + + + + +

    _ _ _ _ _

    - -

    - -

    - -

    + +

    + +

    + +

    Anolit Catolit

    4.5.2. Phng php Hittorf xc nh s chuyn vn

    Ta c:

    5

    v

    v

    n

    n

    o

    o

    c

    a

    M hnh phngphp Hittorf

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    4.5. S chuyn vn cc ion

    4.5.2. Phng php Hittorf xc nh s chuyn vn

    Tnh ton theo phngphp Hittorf

    ca

    a

    ca

    a

    oo

    o

    mm

    m

    nn

    n

    vv

    vt

    Svnchuyncacc ion cxc nhtheo quan hsau:

    ca

    c

    ca

    c

    oo

    o

    mm

    m

    nn

    n

    vv

    vt

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    4.5. S chuyn vn cc ion

    4.5.3. Phng php ranh gii di ng

    M hnh phngphp

    MA

    MA

    x

    b

    b

    +

    MAchtinly cnnghin cu

    MAchtinly chth

    Mz+tcchuynvnlnhnMZ+

    Dung dch khng mu o s dichuynbngchskhc x.

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    4.5. S chuyn vn cc ion

    4.5.3. Phng php ranh gii di ng

    Tnh ton theo phngphp ranh giidi ng

    q

    CFSxt

    Svnchuyncacation cxc nhtheo quan hsau:

    Trong : x : ranh giidi ng,cm.

    S : dintch titdinbnh, cm2.

    C : slgtrong 1 cm3dung dch.

    Khi dung dchc nngln,chnh xc khng cao

    t= 1t+

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    4.6. PP o dn in - ng dng

    4.6.1. Phng php o dn in

    a

    b

    c

    Rx R3

    R2 R1d

    N

    G

    Phng php cu Wheatstone

    a

    b

    c

    RxR3

    R2 R1d

    N

    G

    Hiu chnh in dung

    Rc= 1/.C

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    Ngi ta s dng cc bnh o o dn in, thay v o v S ca

    in cc bnh th ngi ta o k = /S thng qua vic o in tr ca

    cht bit chnh xc dn in ring. Sau , tnh nh sau:

    4.6. PP o dn in - ng dng

    4.6.1. Phng php o dn in

    xR

    kL.k

    Ngita thngdng dung dchinly chunKCl

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    4.6. PP o dn in - ng dng

    4.6.1. Phng php o dn in

    in trcadung dchKCl 0,02N 25oC trong mtbnh o

    dninocl 457. Bitdninring cadung dch

    l 0,0028 -1.cm-1. Dng bnh ny odnincadung dch

    CaCl2cha0,555g CaCl2trong 1 lt c gi trl 1050. Xc nh

    dninnglngcadung dchCaCl2?

    V d1

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    Trong in phn, tit kim nng lng v nng cao

    cht lng sn phm.

    Hm lng mui trong cc dung dch.

    Xc nh bc axt

    Xc nh ha tan

    Php nh phn in dn trong phn tch.

    4.6. PP o dn in - ng dng

    4.6.2. ng dng php o dn

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    4.6. PP o dn in - ng dng

    4.6.2. ng dng php o dn

    dn in ring ca dung dch AgCl bo ha 25oC bng

    3,14.10-6-1.cm-1; dninring canccngnhittrn

    l 1,60.10-6-1.cm-1. Bit dn in gii hn ca Ag+ v Cl- l

    61,92 v 76,34 cm2/.lg. Xc nhho tan v tch s tan ca

    AgCl 250C.

    V d

    Hngdn

    Tnh AgCl; tnh AgCl

    NC

    1000. CN TAgCl = CAg+.CCl-

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    4.6. PP o dn in - ng dng

    4.6.2. ng dng php o dnPhp nhphn indn

    H+

    OH-

    b

    VNaOH

    a

    c

    Na+

    Cl-

    ChunHCl bngNaOH

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    4.6. PP o dn in - ng dng

    4.6.2. ng dng php o dnPhp nhphn indn

    ChunKCl bngAgNO3

    Cl

    b

    a

    c

    NO3

    Ag+

    b'

    K+

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    4.7. BI TP