Solution Colligative Properites_E

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  • 8/12/2019 Solution Colligative Properites_E

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    "`bhesfku`brpfysecs.eh" 2

    CFN@ESTZU

    SMG^TEMH & CMGGEOBTEYN QZMQNZTENS

    Cmhcnhtrbtemh Tnr`s < % Cmhcnhtrbtemh

    % w/w 0)o(smgutemhmiwneoft

    )o(smgutnmiwneoft 211

    Et dmns hmt cfbhon mh cfbhoeho tn`pnrbturn.Nx . 21% w/w urnb smgutemh 0 21 o` mi urnb es prnsnht eh 211 o` mi smgutemh.

    0 21 o` mi urnb es prnsnht eh 51 o` mi wbtnr.

    % wt/vmg. (w/v)% w/v 0 wt. mi smgutn/211 `G mi smgutemh

    % w/v 0 211`Gehsmgutemhmivmgu`n

    smgutnsmiorb`

    Et cfbhons mh cfbhoeho tn`pnrbturn.Nx . 21% (w/v) urnb smgutemh. 0 21 o` mi urnb es prnsnht eh 211 `G mi smgutemh.

    Jut hmt 21 o` mi urnb prnsnht eh 51 `g mi wbtnrimr degutn smgutemh < vmgu`n smgutemh 0 vmgu`n smgvnht.

    % v/vEi jmtf smgutn & smgvnht brn gequeds 0 vmgu`n eh (`G) mi smgutn pnr 211 `G mi smgutemh.

    Nx . 21% v/v bgcmfmg ntfbhmg bq smgutemh 0 21 `g mi ntfbhmg eh 211 `g mi smgutemh.

    21 `g mi C:F>MF eh 51 `g mi F:M

    Strnhotf mi smgutemh eh o/G

    _neoft mi smgutn (eh orb`) pnr getrn (2111 `G) mi smgutemh.

    Nx . 21% (w/v) sucrmsn smgutemh, tfnh spnceiy ets cmhcnhtrbtemh eh o/G211 `G .......... 21 o

    2111 `G ........ 2111211

    21 0 211 o/G

    Nx-2 Ei wn fbvn 9% w/w urnb smgutemh wetf dnhsety 2.191 o/`G, tfnh cbgcugbtn ets strnhotf eh o/G =

    Smgu t emh 9 o urnb es prnsnht eh 211 o` smgutemh.

    9 o eh191.2

    211`G

    191.2

    211`G 9 o`.

    2111 `G 0211

    9 2.191 2111 0 21.9 9 0 93.9

    @mgbrety0 Hm. mi `mgns mi smgutn pnr getrn mi smgutemh.

    Gnt h 0 Hm. mi `mgns mi smgutnH 0 Hm. mi `mgns mi smgvnhtY 0 vmgu`n mi smgutemh

    @ 0 )Geh(Y

    h0

    @

    _x

    )`Geh(Y

    2111

    hm. mi `mgns mi smgutn 0 `mgbrety x vmgu`n ( eh G)hm. mi `. `mgns mi smgutn 0 `mgbrety x vmgu`n ( eh `G)

    Ei Y2`G mi C2`mgbrety smgutemh es `exnd wetf Y:`G mi C:`mgbrety smgutemh (sb`n sujstbhcn mr smgutn)

    Ci(Y2+Y:) 0 C2Y2 + C:Y:

    Ci0

    :2

    ::22

    YY

    YCYC0

    vmgu`nTmtbg`mgnsTmtbg

    Et cfbhons mh cfbhoeho tn`pnrbturn.

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    "`bhesfku`brpfysecs.eh" :

    CFN@ESTZU

    @mgbgety0 Hm. mi `mgns mi smgutn pnr ko(2111 o) mi smgvnht.

    Gnt w orb` mi smgutn (@mgbr `bss 0 @o/`mgn) es dessmgvnd eh '_' orb` mi smgvnht.

    `mgbgety 0

    @

    wx

    )o(_

    2111

    `mgbgety 0smgvnhtmi)o(_

    2111`mgns

    Et dmns hmt cfbhon mh cfbhoeho tn`pnrbturn.

    Nx-: Ei :1 `g mi 1.> @ Hb:SM4 es `exnd wetf >1 `g mi 1.: @ F :SM4 & 31 `g mi 1.4 @ Bg:(SM 4)3smgutemh. Cbgcugbtn [Hb+P, [F+P, [SM4

    :P, [Bg3+P. [Bssu`eho 211% dessmcebtemhP

    Smgu t emh @mgbrety 0vmgu`n

    `mgns0 21 `. `mgns mi Hb:SM4

    :1 `. `mgns mi Hb+

    (e) [Hb+P 0211

    :10 1.: @

    (ee) [F+P 0 =

    21 `. `mgns F:SM4:1 `. `mgns F+

    [F+P 0211

    :10 1.: @

    (eee) [SM4:P 0

    211

    392121 0

    211

    >90 1.>9 @

    (ev) [Bg3+P 0211

    :40 1.:4 @

    Dnrevn b rngbtemhsfep jntwnnh `mgbgety & `mgbrety mi b smgutemh eh wfecf w o` mi smgutn mi `mgbr`bss @ o/`mg es dessmgvnd eh _ o smgvnht & dnhsety mi rnsugteho smgutemh 0 'd' o/`g.sby 2 G smgutemh tbknh,

    `bss mi 2 get smgutemh 0 (2111 d) o

    `mgns mi smgutn 0 (`mgbrety)

    `bss mi smgutn 0 (`mgbrety) x `

    `bss mi smgvnht 0 _

    0 2111 d (`mgbrety) `

    `mgbgety 0 _t.@`mgbretyd21112111)`mgbrety(

    [_fnrn hm.mi `mgns mi smgutn 0 `mgbretyP

    Nx-3 Cbgcugbtn `mgbgety mi 2.: @ F:SM4smgutemh = Ei ets 0 2.4 o/`G

    Smgu e tmh @mgbgety 0 56:.24.22111

    2111:.2

    0 1.539

    Hmr`bgety

    Hm. mi nquevbgnhts pnr getrn mi smgutemh 0)Geh(smgutemhmivmgu`n

    smgutnmisnquevbgnhtmi.hm

    Hm. mi nquevbgnhts 0 hmr`bgety vmgu`n (eh G)(Hmr`bgety 0 h-ibctmr `mgbrety)

    Nquevbgnht `bss 0ibctmrh

    `bss@mgbr

    Hm. mi nquevbgnht 0`bssnquevbgnht

    spncenstfnmi@bss0

    ibctmrh

    `bss@mgbr

    spncenstfnmi@bss

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    "`bhesfku`brpfysecs.eh" 3

    CFN@ESTZU

    'h' - ibctmr(e) Imr mxedezeho/rnduceho bonhts n + 6F+ + @hM4 @h:+ + F:M h- ibctmr 0 >

    (ee)Imr bced/ jbsn rnbctemhs

    210 1.2>:9

    % w/w wneoft mi urnb 021119121

    9121

    x 211 0 3?.>%

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    "`bhesfku`brpfysecs.eh" 4

    CFN@ESTZU

    * Hmtn < Imr deg. bq. smgutemh `mgbgety `mgbrety

    `mgbgety 0``mgbretyd2111

    2111`mgbrety

    (2 o/`g)

    Nx-> Cbgcugbtn `mgbrety mi CbCM3(bq.) smgutemh wfecf fbs cmhcnhtrbtemh mi CbCM30 :11 pp`.

    Smgu t emh :11 o mi CbCM3eh 219 o mi wbtnr.

    :211

    :11 `mgns mi CbCM3eh 213 getnrs mi wbtnr. (dnhsety 02o/`G)

    Sm `mgbrety 0 321

    :0 : 213 @.

    Cmggeobtevn prmpnrtens & cmhstetutemhbg prmpnrtens 11K fbs M.Q. 0 :.1> bt`. & ogucmsn smgutemh bt 311 K fbs MQ 0 2.:3bt`. Ei :11 `g mi E st smgutemhs & 411 `g mi :hd smgh brn `exnd bt 411 K tfnh cbg. M.Q. mi r nsugtehosmgutemh bs 411 K (bssu`n `mgbrety es hmt dnpnhdnht mh tn`p.)

    Smgu t emh Curnb 0 >11Z

    1>.:

    0 1.1> Yurnb0 :11 `G

    Cogucmsn0 311Z

    :3.2

    0 1.1> Yogucmsn 0 411 `G

    Ctmtbg0

    :2

    ::22

    YY

    YCYC

    0

    911

    4111>.1:111>.1 0 1.1>

    0 CZT 0 1.1> 1.16: 411 0 2.94 bt`

    Bjhmr`bg Cmggeobtevn Qrmpnrtens CMMF 211% de`nresn eh jnhznhn, e 0 :

    2

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    "`bhesfku`brpfysecs.eh" 5

    CFN@ESTZU

    (2) _fnh rnbctemh es hmt tbkeho pgbcn @FB.(Oevnh < _nbk bced es :1% dessmcebtnd bt 311 K).

    Smgu e tmh 0HbCg +Hb:SM4+FB

    0 1.2 ZT : + 1.: ZT 3 + 1.> ZT 2.:0 1.16:2 311 (1.: + 1.9 + 1.9)

    0 34.46: bt`.Nx-24 E i 1.14 @ Hb:SM4 smgutemhs bt 311 K es imuhd tm jn esmtmhec wetf 1.1> @ HbCg (211 %

    desscmcebtemh) smgutemhs. Cbgcugbtn dnornn mi desscmcebtemh mi smdeu` sugpfbtn =

    Smgu e tmh e2

    C 2ZT 0 e: C: ZTe2

    C 2 0 e: C :1.14 (2 + :) 0 1.1> :0 1.?>

    0 ?>%.

    Nx-2> Ei 9 o` mi CF3 CMMF es dessmgvnd eh jnhznhn tm `bkn 2 getrn bt 311 K. Ms`mtec prnssurn mismgutemhs es imuhd tm jn 2.94 bt`. Ei et es khmwh tfbt CF 3CMMF eh jnhznhn imr`s b de`nr.Cbgcugbtn dnornn mi bssmcebtemh mi bcntec bced eh jnhznhn =

    Smgu e tmh

    e 0 2 +

    2

    h

    2.

    2.94 0 1.16:2 311 [ 2 +

    2

    h

    2

    P 1.2

    2.94 0 1.16:2 311 [2 :

    P 1.2

    3111.6:2

    94.2

    0

    :

    -:

    :.49

    94.20

    :

    -: 4 0 9 3

    30 :

    03

    :

    (:) _fnh rnbctemh es tbkeho pgbcn 11 `g mi 1.2 @ Hb

    :SM

    4smgutemh. Cbgcugbtn ms`mtec

    prnssurn mi rnsugteho smgutemhs =

    Smgutemh JbCg:

    + Hb:SM

    4 JbSM

    4+ : HbCg

    1.14 mgns 1.1> 1 11 1.12 Hmt niinct 1.16

    ?.1

    12.1Hmt niinct

    ?.1

    16.1

    0 (e2C

    2+ e

    :C

    :) ZT.

    0 (3 ?.112.1 + : ?.116.1 ) 1.16: 311. 09.96> bt`.

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    "`bhesfku`brpfysecs.eh" 21

    CFN@ESTZU

    Nx-2? Ei :11 `g mi 1.: @ FoCg:smgutemh es bddnd tm 611 `g mi 1.> @ KE (211% dessmcebtnd) smgutemh.

    Bssu`eho tfbt tfn imggmweho cm`pgnx imr`btemh tbknh pgbcn tm 211% nxtnht.

    Fo :++ 4 [FoE4P : (Cm`pgnxns brn bgwbys smgujgn)

    1.14 1.4Cbgcugbtn ms`mtec prnssurn mi rnsugteho ehetebggy smgutemh bt 311K =

    Smgutemh FoCg:

    + 4KE K[FoE4P + :KCg.

    41 411 1 11 411 291 41 61

    2111:41

    211141

    211161

    0 (e2C

    2+ e

    :C

    :+ e

    3C

    3) ZT.

    0 (1.:4 : + 3 1.14 + 1.16 :) 1.16: 311. 0 26.95 bt`.

    Zngbtevn gmwnreho eh vbpmur prnssurn ( ZGYQ) < Ybpmur Qrnssurn o` gequed gnit bt t

    nq

    Bt nq. < tfn rbtn mi nvbpmrbtemh 0 rbtn mi cmhdnhsn

    F:M () F

    :M (o)

    Kp0 )o(MF:Q nq.

    iehbggy

    Ieourn

    Bgtfmuof ehdevedubg `mgncugns brn cmhstbhtgy pbsseho jbck irm` mhn pfbsn tm tfn mtfnr, tfn tmtbghu`jnr mi `mgncugns eh jmtf gequed vbpmur pfbsns rn`beh cmhstbht.

    Tfn prnssurn nxnrtnd jy vbpmurs mi tfn gequed wfnh nquegejreu` es nstbjgesfnd jntwnnh vbpmurs & etsgequed. es khmwh bs vbpmur prnssurn.

    Ybpmur prnssurn es bh nquegejreu` cmhstbht (KQ

    ) mi tfn rnbctemh.

    gequed vbpmurs.

    Sehcn vbpmur prnssurn es bh nquegejreu` cmhstbht sm ets vbgun es dnpnhdnht mhgy mh tn`pnrbturn imrb pbrtecugbr gequed

    Et dmns hmt dnpnhds mh tfn b`muht mi gequed tbknh mr suribcn brnb mi tfn gequed mr mh vmgu`n mr sfbpnmi tfn cmhtbehnr. Et es b cfbrbctnrestec cmhstbht imr b oevnh gequed.

    Tfn hu`nrecbg vbgun mi b gequed's vbpmur prnssurn dnpnhds mh tfn `bohetudn mi tfn ehtnr`mgncugbrimrcns prnsnht bhd mh tfn tn`pnrbturn. Tfn s`bggnr tfn ehtnr`mgncugbr imrcns, tfn feofnr vbpmurprnssurn jncbusn gmmsngy fngd `mgncugns nscbpn `mrn nbsegy.

    Tfn feofnr tfn tn`pnrbturn, tfn feofnr tfn vbpmur prnssurn jncbusn b gbronr irbctemh mi `mgncugnsfbvn suiiecenht kehntec nhnroy tm nscbpn.

    gh Qvbp

    0 CT

    2

    Z

    Fvbp

    Cgbuseus-Cgbpnyrmh Nqubtemh

    wfnrn

    Fvbp 0 tfn fnbt mi vbpmurezbtemh mi tfn gequed

    Z 0 obs cmhstbht

    C 0 b cfbrbctnrestec cmhstbht mi b gequed

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    "`bhesfku`brpfysecs.eh" 22

    CFN@ESTZU

    Nx-26 Tfn vbpmr prnssurn mi wbtnr bt 61C es 3>> tmrr. B 211 `g vnssng cmhtbehnd wbtnrsbturbtnd mxyonhbt 61 C, tfn tmtbg obs prnssurn jneho ?91 tmrr. Tfn cmhtnhts mi tfn vnssng wnrn pu`pnd ehtm b >1.1

    `g, vnssng bt tfn sb`n tn`pnrbturn. _fbt wnrn tfn pbrtebg prnssurns mi mxyonh bhd mi wbtnr vbpmr,

    wfbt wbs tfn tmtbg prnssurn eh tfn iehbg nquegejrbtnd stbtn = Hnognct tfn vmgu`n mi bhy wbtnr wfecf

    `eoft cmhdnhsn.

    Bhs.:M

    Q 0 621`` Fo, MF:Q 0 3>> `` Fo , Qtmtbgbg0 229> `` Fo

    Smgutemh 211 `g vmgu`n vnssng,

    MF:Q 0 3>> Q

    Tmtbg0 ?91

    :MQ 0 ?91 3>> 0 41>

    >1 `g vmgu`n vnssng,

    MF:Q 0 3>> :MQ 0 >1

    21141>

    :MQ 0 621

    QTmtbg

    0 3>> + 621 0 229>.

    Ybpmur Qrnssurn mi b smgutemhYbpmur Qrnssurn mi b smgutemhs mi b hmh vmgbtegn smgutn ( smged smgutn ) es bgwbys imuhd tm jn gnss tfbh

    tfn vbpmur prnssurn mi purn smgvnht .

    Znbsmh hHmw T

    0 K'

    `mgbgety vbh't Fmii ibctmr

    1.11>4 0 2.69 1.112 (> h) h 0 :.2 : (ehtnonr vbgun)Tfus cm`pgnx bhd ets emhesbtemh es