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O =,{4z xxn[l J %$%0&  4.1 xxS^SvQs^a8^pe $ 4.1.1 xxS^ x qQmx + (P[ HAc Ac- + H+ NH4+ NH3 + H+ HCO3- CO32- + H+ H6Y2+ H5Y+ + H+ _: HA A + H+ ;@Fx0 < $$  "* "*"**"* "*"** "** "*"*"*"*"* "* &  .  &  . t-  O: HAc(W4l-NvyS^ JSS^1: HAc Ac- + H+ JSS^2: H+ + H2O H3O+ ;`S^: HAc + H2O Ac- + H3O+ {Q:N: HAc Ac- + H+ 0Z<Z0Z2   "* "* "  *  "*"*"   "*"*"*       $"$$*$$"$$*$((" 0D3.1.2 xxS^{|WSs^a8^pe a. NCQ1_xxvyS^6#$ f F   HA + H2O A  + H3O+ A  + H2O HA + OH  \$ #Pi   "*<"*"*.  "  * <  "*"*<4$   b. 4lv(P[S^: H2O + H2O H3O+ + OH- (25C) $ 2  ( ( (  , :,${c. YCQxxvyS^     " d. xx-NTS^(n[S^) : Kt n[S^8^pe H+ + OH- H2O H+ + A- HA OH- + HA H2O + A-'& &    ( (    $ (       $ $((((((F/H4.1.3 ;m^NSm^( $$$   <3.1.4 ;m^8^peKa0Sm^8^pe SmT8^pe^      4.S^HAc H+ + Ac- F $   Ka : pRf[8^pe (SN t gsQ) : Sm^8^pe (N t, I gsQ) : mT8^pe (N t, I gsQ) IxZ    @O1 {pH=4.00T8.00evx(HAc)0x(Ac-)!          |@: ]wHAcvKa=1.7510-5 pH = 4.00et! <*HAc vx-pH VpKa=4.76)d        64.2.2 YCQxvid\Rpe$  Rwx(H2A)vx-pHVV       * NCQxH3Avid\Rped $$$$$$$*Rk1u4y~b: M = [H+]3+[H+]2Ka1+[H+]Ka1Ka2+Ka1Ka2Ka3 x3 = [H3A]/c= [H+]3/M x2 = [H2A-]/c= [H+]2Ka1/M x1 = [HA2-]/c= [H+]Ka1Ka2/M x0 = [A3-]/c=Ka1Ka2Ka3/MDn $xx(H3A)vx-pHV H      48 4.3 xxnmvH+Sm^{`$%$,%..Npel㉐gl \OVl pe #(# '  HQ 4lQ('YϑX[(W0SN(P[lyvir(). \4lQ_(P[Tvb__Q(WI{_v],1Y(P[Tvb__Q(WI{_vS. gsQSm^yMRXN N_1Y(P[pe. 0 " x2#0 " x20 " x2         fl =  RO: NCQ1_x(HA)v(P[agN_ 4lQ: H2O, HA HANH2O(P[ly:HA+H2O H3O+ + A- H2ONH2O(P[ly:H2O+H2O H3O++OH- 4lQ xW xW d''&'33&                                                                    '    33  ''33'33 ?> :O:Sm^:Nc molL-1 vNa2NH4PO4 4lnm  2             H    8^(uxxnmv(P[agN_  &    $1.NCQ1_x(HA)v[H+]v{& ' & ' & /(& ' 'H8(P[agN_: [H+] = [A-] + [OH-] Z%$-$ $  $%'  : Ka c > 20Kw(10-12.7), _euKw(sS_eu4lvx'`) [HA]= ca-[A-]= ca- ([H+]-[OH-])H" ca-[H+] _я> 20Kw Ka/c = 10-1.26/0.20 = 10-0.56 > 2.510-3 Ee^(uя 20Kw(10-12.7),_euKw(4lvx'`) я> Ka2, [HA-]H"c(HA) ($ pKa e" 3.2, Ra d"5 % ) S: Ka2 c(HA-) > 20Kw, _ яO3 {0.050molL-1 NaHCO3nmvpH. '$$#$ "$*$"$*$"$#$"$#$  B: pKa1 = 6.38, pKa2 = 10.25 $ pKa = 3.87 > 3.2, [HA-] H" c(HA-) Ka2 c = 10-10.25 0.050 = 10-11.55 > 20Kw c/Ka1 = 0.050/10-6.38 = 105.08 >> 20 EeS(ug{_: [H+] = = 10-8.32 molL-1 pH = 8.32 %$$,,, $$,,,$      0 $$$  0$$,,$,$$, $,$$,$$$,,, $,$,$%$,$,$,$ $$J#}R >O4 {0.033molL-1 Na2HPO4nmvpH. &' &.&.&.&'&'B pKa1 ~ pKa3: 2.16, 7.21, 12.32 : Ka3 c = 10-12.32 0.033 = 10-13.80 H" Kw c/Ka2 = 0.033/10-7.21 = 105.73 >> 20 Ee: $. . &.&.                         $.$ ((((((((((,&,00Z' %  ˆ}v(W,g~gUSMO  (lWx &   (lWx     ˆ}v(vI{5up(pI)  & x4. 1_x(A-)+1_x(HB) nmvpH(Ka(HA) >Ka(HB)) \=&'&&/&'&&&fffffff T) (P[agN: [H+] + [HA] = [B-] + [OH-] |nxh_: я> [OH-] - [H+] cb >> [H+] - [OH-] R_g{_ {Z)PZ Z'  $(0 ''      +        $& 4/  O7 {N NnmvpH (a) 0.040 molL-1 HAc  0.060 molL-1 NaAc (a) HQ cg{_: 5" ca>>[H+], cb>>[H+] 4" ~gTt , pH = 4.94V~%$'!             (b) 0.080molL-1N/lYNx  0.12molL-1N/lYNx (b) HQ(ug{_ PZ  % R  O8 (W20.00mL 0.1000molL-1 HA(Ka=10-7.00) nm-N, ReQ0.1000molL-1 NaOHnm 19.96mL, {pH. m' & '                    : ca = 10-4.00 molL-1 cb = 10-1.30molL-1 HQ cg{_, [OH-] = 10-4.30 molL-1 ^(uя11) HA  A- : bHA  A- = 2.3c x1x0 pn$e$O$O$( M $  \ .    b   4.4.2 Qnmv b$b$1. g'YvQR: c 'Y(0.01^1molL-1); pHH"pKa, sSca : cbH"1 : 1I      "4.4.3 QnmvM6Rel (&$ 1. ckOReQHATA (NaAc+HAc, NH4Cl+NH3); 2. nm-N[H+]'Y, RǏϑA-, nm-N[OH-]'Y, RǏϑHA; 3. nm-N gHA,SRNaOH-NTNR, nm-N gA-,SRHCl-NTNR.dx0 x      *  P M6RQnmvϑel 6  $$ Q[ϑl: (_eQxxGW(u) 1.9hnc_eQvx(x)ϑBl 2.9hnc@bpHBl;`Sm^c  =2.3c x0 x1 3. cx0Nx1vk   <id\Rpel (nx[_eQxbxe) 1.R+R{pH0TpH1evx(HA)0x(A) 2._eQxvϑc(HCl)= Dx(HA)c;` (_eQxvϑc(NaOH)= Dx(A)c;`) BlQc;` 3.pH0e ca=c;` x(HA)0 cb=c;` x(A)0x0x2                 h     8^(uQir(<  ' 3 3    "8^(uhQQnm((uNpH!hQ)" # ' & ' # ':4hQQnmvpH/f[Km[v,{e^ZP;m^!hck.4''3J  3.5 xxc:yBR   >2uWYj Methyl Orange (MO) pKa=3.4  $$$$$$$$$$ 2uWYjv x - pH VN"   "      <2uW~ Methyl Red (MR) pKa=5.0$$  $  BZ^ Phenolphthalein (PP) pKa=9.1"$33 $  mTc:yBR 2uW~+n2uZ~8$$$33&  5.0------5.1-------5.2 f~ pp ~ (uNNa2CO3h[HClec:y~p 1uNrNeOSrSz, SrOe.u333  33 r# "4.6 xxn[f~Tc:yBRv b6"(#("(  \0.1000molL-1 NaOHn[ 20.00mL 0.1000molL-1 HClJ/   T   $4.6.2 :_xn[NCQ1_xHA $$  0.10molL-1 NaOHn[0.10molL-1 HAcbHA (20.00mL , Ka(HAc) = 10-4.76, Ka(HA) = 10-7.00)8U@ K  K        d! " # $ % 2NCQ1_x(x)SvQN:_x(x)mTirvn[f~;`~X"&"&"b & 4.7 ~p]  $.  -' J4.7.1 Npel{~p] 1. :_xn[:_xvn[]Etb&82$$$$$> ( Zero Level: NaOH, HCl, H2OL      , )   * 4 2. :_xn[1_x(HA)vn[]Et '(&(&'&'&..$'$8+  2' & O12 (u0.100 molL-1NaOHn[0.100 molL-1 HAc c:yBRPP. {Et=?IZ' &   ( v,   4.7.2 ~p]lQ_T~p]V SvQ^(u :_xn[NCQ1_x(HA)vEt vL(P-$& & 3 3  3 & @/-    .    /    0  ]lQ_v Np^(u &( B(1) {~p] (2) {zÍV (3) $Ren[SL'`""(<1 (1) {~p]  '$Kt = Ka/Kw = 10-4.76+14.0 = 109.24 R lg(csp Kt )= 7.9 $pH = 0.3, gV Et = 0.02% e   o     c  c    l  2 *(2) {zÍV pHsp $pHh$&$&$$$$$   $6 Et = 0.1% lg(cspKt) = -1.3 + 9.24 = 7.9 gV $pH = 1.0 5" pHsp= 8.7 \ zÍVpH 7.7 9.7x} $ $$3 (3) $Rexxn[vSL'`&$  4 ]lQ_-NcspKtv+TIN:' & . & & . ' & 8 5   6 YCQxRekn[vagN: $$ n[vxY:_, cKa1e"10-8 $lgKaY'Y, $pH=0.3, AQEt=0.5%, R $lgKae"5 "   " 0 "  $$g$$$$$  $  $  $  $   $  $   $  $  $  $  $  $  $  $  $   7 8 &NaOHn[H3PO4 ec:yBRv b|& . & . & . . pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43- pHsp1= 4.7 pHsp2= 9.7w 23`A# "&&.. &&.. &&..&""*"*"*"**$*"***$"***$" ~9 &HCln[Na3PO4 ec:yBRv b|& . & . & . , pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43- pKb3(11.84) pKb2(6.79) pKb1(1.68) pHsp1= 4.7 pHsp2= 9.7 2 "&&..&&.. &&..&""*"*"*"**$*"***$"***$ "&&..&&..&&..&": :HCl n[0.10molL-1 Na2CO3  8 ;  c:yBRv b, Na2CO3 (H2CO3:pKa1=6.38, pKa2=10.25) pKb1=3.75 pKb2=7.62 CO32- HCO3- H2CO3Z  $  M* M*   <  8cH"0.1molL-1 zRzÍ\, SmRjm9!fE   : = 0xhQnm: HCl (HNO3, H2SO4)vC(( (( (( ((.xM6R:(u^.UHCl(12 molL-1),HNO3(16 molL-1), H2SO4(18 molL-1)zʑ.=    L0> xhQnm: NaOH( C((&vM6R: NqTvNaOH(~19 molL-1), (udSCO2 vSyP[4lzʑ. <Z      ?  CO2[xxn[vq_T@$$ &$ lNaOHՋBR-Nb4l-N+TCO2 g:gxh[:(PP) CO32- HCO3- " x$ " x $$C. .R@   A 3. CO2[S^^vq_TD&$.$ &$$ ,ZB "4. NaOHhQnmvM6RNOX[$ M6R: SmNaOH(qT, +Tϑ~50%, ~19 molL-1)-NNa2CO3lmdS, Q(unqldSCO2 vSyP[4lzʑ@bSm^.G     /D E F G P  0` fff33` 3KI3ff` 33ff` /p` 3%*3|` Jy3fff3f` 3ff3̙` 33ff33` DDyq3f` ̙3n` w3ff` }ff>?" dd@,?nKd@ P nA@F`d n?" dd@   @@``PR"   @ ` `2p>>   @@ (    6 F     n  s *A ??  n   s *A ??  n   s *A ?? 4  n   s *A ??`  n   s *A ??  n   s *A ??`  n  s *A ??  H  0޽h ? T3f3f   0  |(  x  c $K  `  K  8 pt   pt `B  0DopPPn  s *A ??   n  s *A ??@   n  s *A ??p  4  n  s *A ??@ P t  <   T^  ?? 0,$D  0 ( xxS^v[(/f(P[ly&0Z2((B  s *޽h ? T3f3fzr___PPT10R+mD'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* +8+0+ 0 +F  0   v(  x  c $H$^   K    BA (??  x (dA`  c $A# ??@z   s '^ 0e0e P 0  ^  f  s *A ??P`t f   s *A ??@ d      fA (? ??` 0 @ (H  0޽h ? T3f3f  0   p  (  x  c $7^  K  `  c $A$  ?? x     BA (?? ($D  0d  BA (??@x (dl      ,$D  0  BA= }2??  x }2dAB B NDo?" B B NDo?" B   NDfo?"@ B   NDfo?" 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(??"Bn`x (d$l  P ( P,$D 0B  NDԔ?"PQ B  NDԔ?"P  B  ND1?"P P   HX8 ?"` <(2   H; ?"P P  <(2 >   0e0e    BP CDE@F f Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E|| XPHpp0xhph p  P  @     S"Pp` 4   0e0e    BhCDE4Ff Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||  @PX  hX H  @    S"8T   0e0e    B C8DELF$ Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E|| x@P @((X(p0 8 0 0x 08 0 0@      S"Pp$   0e0e    B CDE(F Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E|| 8Hp @   S"Pp8B  TD1?"  B  TD1?"0 0 B  TD1?" B  TD1?"   N@ ?" 51.0 2  NlD ?"p  70.5(2  TA (??"  x (d  TA (??"x (d  TA (??"(@Lx (d~  TA (??"x (d~  TA (??"h  x (d  HJ ?" p i I / molL-1B ddlD    0e0e    BP C@DE@F  Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E|| @p`h`P(p 0P @ @     S"Pp  ! ZP ?" d@ O0.1 " ZU ?" @ O0.2 # ZY ?"  @ O0.3 $ Z\X ?" @ O0.4 % Za ?" @ O0.5 &  `3f ?"   jgi2G$$R ) Tl  ??p  8;m^|pe NyP[:_^ I vя+B#style.visibility<*,%(D' =-s6Bwipe(left)*<3<*,+  0   6(  x  c $ wG   x  c $ P     NA6 X/??"\ x X/d  NA4 f/??"@ x f/dF  NA' (??" ` 0 x (dF`  c $A" d/??,3  d/`  c $A& b/??Z b/`   c $A >??@ >    fA  .? ?? M   .B  s *޽h ? T3f3fi  0 @'(    NA  .??"zx  .d  NA (??" x (d  NA* (??"  x (dAZ  c $  P    9   N ?? 0 ,$D  0 l Nĉ_(uNNUONCQ1_xT 2 H  0޽h ? T3f3fzr___PPT10R+w"RD'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+8+0+0 +j  0 '*(  x  c $  s   Jh  ` `  * #" 0   H ?"  `  U13.02 @`  H ?"   U13.26 @`  HD ?"   U13.53 @`  H| ?"`   U13.83 @`  H\( ?" `  U14.00 @`   Hd1 ?"  U14.16 @`   Hl: ?"   U14.53 @`   HtC ?"`   U14.96 @`   HN ?"  `  pKw@ @`   H`W ?" ` `  R60 @`  H,` ?"`   R50 @`  H4i ?"`   R40 @`  H (P & NȨ ?"  ,  pKw/f)n^vQpe:n 8nPZ2X '  f  ??@Il *R.Kellner. Analytical Chemistry,1998 (p94)Z+0nPZ2 " ) N춺 ??` ` 2,gz1_xxvs^aSm^KNvsQ|(u Ka я+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*+8+0+0 +w$ 0 '$$`))#(  [  PM  3 #"2&hhhhohhh `   H ?". M  T0.99 @`  H ?"0 . M  T0.01 @`=  H ?". 0 M   pKa + 2.0P  @`  H # ?" .  T0.95 @`  H+ ?"0  .  T0.05 @`=  H`7 ?" 0 .   *pKa + 1.3P  @`   H@ ?"   T0.91 @`   HI ?"0   T0.09 @`=   H8U ?" 0    pKa + 1.0P  @`   H^ ?"  T0.50 @`   Hg ?"0   T0.50 @`1  Hs ?"0  **pKa P @`  H,| ?" T0.09 @`  H ?"0  T0.91 @`=  H ?"0   pKa - 1.0P  @`  H ?" T0.05 @`  Hģ ?"0  T0.95 @`=  H ?"0   *pKa - 1.3P  @`  H ?"o T0.01 @`  H( ?"0 o T0.99 @`=  Hd ?"o0   pKa - 2.0P  @`'  H$ ?"Po x(A-)b @`  Hl ?"0 Po wx(HA)@ @`  H, ?"P0 o RpH @`B  Ho ?"PPB  B1 ?"ooB  B1 ?"B  B1 ?"B  B1 ?"B   B1 ?"  B ! B1 ?"  B " B1 ?". . B # Ho ?"M M B $ Ho ?"PM B % B1 ?"0 P0 M B & B1 ?"PM B ' Ho ?"PM  ( B ?"p >: Nx1, x0 [pH \OV, sSS_b_`R^V.  RV ) c $ 0@   & N TpH Nvx(HA) Nx(A-) l$$$$$ $$(4H  0޽h ? T3f3f  0  'P(  x  c $L ,:<   F @  $     `AS ~/??"@  ~/B  TD?"@_ _B  TD?" @ "   N ?" J WHAc(2   N ?"  F OAc-0(2     Z# ?"   V4.76  Tx( ??0Z 5x 2l P  'P ,$D  0 P  # P ,$D  0    N ?"P  vHAcvOR:SWV, 2     `AT x/??" ` x/B  TD>?" 'B  TD>?" pB  TD>?" m P B  TD>?" pB  TD>?"H H B  TD>?"m P B  TD>?"   Z0 ?"p kj  V2.76C  Z84 ?" p 0 j  V6.76C  Z8 ?" v p Z3.46 G  Z< ?" 1 z Z6.06 G  Z; ?"fa ` Z3.76 G  Z8E ?" @ : Z5.76 G  ZC ?"$l  Z4.76 G  ZM  ??  qpKa8 2  % TDR  ?? G  QAc-2 2O  & TV  ??@ G  UHAc 2H  0޽h ? T3f3f5-___PPT10 +˷D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*'%(D' =-o6Bwipe(up)*<3<*'+ 0 p(  F `D   `D    `AU L??"`D  LB   `DԔ?"+ B B  `DԔ?"0 00   N` ?"J9  @3.17 (2E  Ne ?" :HF(2  Nc ?" 0  JF-,(2 v   6l  $B &HF vx-pHV(pKa=3.17)l      >l   0  0,$D  0    HDr ?"  `   ~HF vOR:SWV. (2  zN ` 0`   ` 0`B   NDԔ?"` `pB   NDԔ?" pB  NDԔ?"`B  NDԔ?"0 0 p  H8 ?"  n(HF F-*) 2'   H ?" @0` :pH(2   f  ??pZ  N3.17E   T  ??p P  qpKa8 2 H  0޽h ? T3f3f5-___PPT10 +y?D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+n 0 q(  ~  6p  O ,HCN vx-pHV (pKa=9.31) n      >48      ZAV M??"  M8N `f   `f B   `DԔ?"`B   `DԔ?"   N ?"  f  <9.31(2  N ?" @W ;HCN(2   Nȯ ?"& KCN-,(2 wz P0 @  0 P@,$D  0N P0 9  P0 9B   TDԔ?"`B   TDԔ?"` `pB   TDԔ?" p"  N ?" P9 pKa 9.31P (2 B  ZDԔ?" p  NԼ ?"  'HCN CN-F( 2    N ?"P0 w  pHCN vOR:SWV (2   Z0  ??0p@ 4pH 2H  0޽h ? ̙335-___PPT10 +sZD'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+9  0 <(  ~  s *     0 <A2 .?A .    ZA) .??". 8 .$D  0  T  ??pG NCQx H2AN 2H  0޽h ? T3f3f5-___PPT10 +D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+ 0 ME  (   8   6  ,*z  H2CO3vx-pHV~       8    G    H( ?"p ' qH2CO3P 2   H ?"  aHCO3-@ 2    H@ ?"@ CO32-d 2333333 33 N      DN          `A /??"  /B   TD?" ` 0 B   TD?"PP`     ` ?"  8, H2CO3 HCO3- CO32-- 2 EMEM EEMMEE33M33M33t F P     PT 0   # 0 B   NDo?"0` 0P B   NDo?"` P B   NDo?"0  B   NDo?" B   NDo?"     H ?"P  73H2CO3 HCO3 - CO32-4 2    ,     H ?"p   6.38 pKa1Z (2EEMM0   H ?"`   10.25 pKa2Z (2EEMMR   Hh' ?" pp $ pKa = 3.87l (2 EEMEb   Z/  ??P #  H2CO3vOR:SWVf 2   *H   0޽h ? ̙33^  0  0 (  x  c $9  ``   " 8 p  p   N: ?"pG ;x(2 2 <AZ /?pP  /    N(2   F  0    0BT p  # p 0B   TDo?"pP p@B   TDo?"P @B   TDo?"p  B   TDo?" B  TDo?"P P {  NHY ?"00 'H2A HA- A2-( 2f ff 33 33 33I  Nc ?" @ 3.04 4.37 pKa1 pKa2   @  Nxo ?" P  $ pKa =1.33X (2    Tv  ??p 4pH 2  Zz  ??0 @] v RwxvOR:SWV* 2  H  0޽h ? T3f3f  0 b(  ~  s *`   `     c $` <$  0   H  0޽h ? T3f3f^V___PPT106.+XD'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* 1%(D' =-o6Bwipe(up)*<3<* 1D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*1G%(D' =-o6Bwipe(up)*<3<*1GD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Ga%(D' =-o6Bwipe(up)*<3<*GaD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*a}%(D' =-o6Bwipe(up)*<3<*a}D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*}%(D' =-o6Bwipe(up)*<3<*}+8+0+0 +  0 (  ~  s *     8   `P  2 <A\ S? p  S    H ?"`  M 1.0 0.5 0.0$(2   HP ?"   G0 2 4 6 8 10 12 pH"H 2GB  ZD>?"  B  ZD>?"  B  ZD>?"` `    H ?"' ;x(2  HL ?"  kH3PO4J(2     Hl ?"0  ~H2PO4-\(2     H ?"@ pHPO42-N(2f f f f  H ?"00p wPO43-V 2    , l @  @ ,$D  0 @ p  @ `B   TDԔ?" P B   TDԔ?"5 5P B   TDo?" 5 B  TDԔ?" B  TDԔ?"w w B  TDԔ?"; ; v  N ?"P ^ > H3PO4 H2PO4- HPO42- PO43-^? 2      f f f f    "   NX ?"p   2.16 $ pKa=5.05 7.21 $ pKa=5.11 12.32 pKa1 pKa2 pKa3x 2 3    3           6Y  T  ??   4pH 2  Tl  ??p v  `xxvOR:SWV 2 H  0޽h ? T3f3f5-___PPT10 +7D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+   0 `L(  ~  s *| P     c $  @@    "p`PpH  0޽h ? T3f3f^   0   p (     6    : F 0p  0p  <D  U  Zя       ires^a(Material Balance Equilibrium,MBE): Tiryvs^aSm^KNTI{NvQRgSm^. 5uws^a(Charge Balance Equilibriua,CBE): nm-NckyP[@b&^ck5uwv;`peI{N yP[@b&^5uwv;`pe.(5u-N'`SR) (P[agN(Proton Condition Equilibriua,PCE): nm-Nx1YS(P[vpevI{Nx_0R( P[vpev.h)x$#$ $ '$ # $   $    ' $ % )'$  $  $"$$$'$$(('    H  0޽h ? T3f3f6 0 v(  >  c $x  P   tO:HAc4lnm ires^a_(MBE): c = [HAc] + [Ac-] 5uws^a_(CBE): [H+] = [Ac-] + [OH-] (P[agN_(PCE): [H+] = [Ac-] + [OH-]'$&$'$'$'$&$'$  $  $   $  ,  $'$'$&$'$$$($,$,$'$'$&$'$$$($,$,$   -7H  0޽h ? T3f3f   0 ~(     0v Z&     c $Ȅ   <$  0   "p`PpH  0޽h ? T3f3fv n ___PPT10N .+XD '  = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*:%(D' =-o6Bwipe(up)*<3<*:D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*:I%(D' =-o6Bwipe(up)*<3<*:I+8+0+0 +1  0     (  ~  s *]K Z     H4 ?"P  ,$D  0 & xW 4lQ _(P[Nir(nP ' ' % d  H ?"P P ,$D  0 xW 4lQ 1Y(P[Nir\ (nP& & $   H ?"@=,$D  0 (6(P[agN_: [H+] = [A-] + [OH -] nP&   ( .,    ,  f  s *A z2??Pt z2f  s *A {2??`  {2z P    P ,$D  0   `Zo?"0 pP    Z  ??  TB_1Y(P[pevI{: [H3O + ] = [A -] + [OH-]" &    (  , 0 H  0޽h ? T3f3f  ___PPT10 +$D '  = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*++0+0 ++0+0 ++0+0 +Y  0 '   (      0e0e     5% 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||S"     HT ?",$D  0 WMBE 2c = [Na+] c =[NH4+]+[NH3] c = [PO43-]+[HPO42-] + [H2PO4-] + [H3PO4]~X nP f     /(     / (          ,   ,    ,       H ?"0  ,$D  0 DPCE [H+] + [HPO42- ] + 2[H2PO4- ]+3[H3PO4] = [OH-] +[NH3]E nP f  /(   ,    ,     ,     HS ?" ,$D  0 FHCBE [Na+]+[NH4+]+[H+] =[OH-] +[H2PO4-] +2[HPO42-] +3[PO43-]I nP f /(   / ( /( ,    ,   ,     , B  s *޽h ? T3f3f  ___PPT10 +MMiD '  = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*++0+0 ++0+0 ++0+0 +,  0L0 ` T(  x  c $ S p  S  ~ ` # #"*`8  T gK ?" c `  [H+] = [OH-]` /(, @`   T) ?"c ` oH2O:  @`   T4Q ?"c ` oH2O:  @`  TZ ?" g c  [H+] = [HA-]+2[A2-]+[OH-]/(, ,, @`,  To ?"g c  H2A, H2OX    @`    T4e ?"g c  oH2A:  @`   Tt| ?" g  [H2A]+[H+] = [A2-]+[OH-] /( ,, @`.   TD ?" g  HA-, H2OZ ,  @`   T+ ?"g  *HA- ($N'`ir)~ , DdD, @`=   TB ?"  [H+]+[HA] = [OH-]`/( , @`I  T ?"  A-, H2Ov    @`  T ?" `A-,  @`]  TTž ?"  [H+] = [A-]+[OH-]/(,, @`   TX ?"  sHA, H2O:  @`  Tt ?" PHA @`F  Td ?"  (P[agN_(PCE)B %f$f%f @`   T\! ?"  r4lQ %f @`   T ?" pir( %f @`B  Bo ?"B  Bo ?"B  Bo ?"B  Bo ?"g g B  Bo ?"c c B  Bo ?"`B  Bo ?"  `B  Ho ?"B  Ho ?"`B  Ho ?"`B   Ho ?"``H  0޽h ? T3f3f  0 ` X p  (  ~  s *@ `@   ~  s *\ pP0   z  0 :  0 :,$D  0d  S A 03??0 <  03  T˞  ??  : V\ NeQ|nxh_ U\__NCQ N!ke z [H+]3 + Ka[H+]2- (Kaca+Kw)[H+] - KaKw= 0BP0Z' ' &$/$&$.$&$&$.$&$/$&$.$&$&$.$&$.$&$&$.$&$/$&$&$.$&$.$&$R'z P @^    P@^ ,$D  0  ZA 13??" x 13d   ZA 23??"P^ x 23d   Tl  ??P@  vNeQs^asQ|_ |nxh_"0Z' H  0޽h ? T3f3f ___PPT10+8,D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+   0   (  x  c $ޝ `      ZA 33??"0 gx 33dAD> 0 C xA 43??" 43  dz ` '  ` ',$D  0  ZA 53??"` & x 53d  ZA7 63??"P 6x 63d  T  ?? ' Bva < 0.05, sS , Rca-[H+]H"ca _g{_: R;0Z 2"    "   $  ' & . & . & & . $&  V B  s *޽h ? T3f3f5-___PPT10 +#GD'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+|   0 :(  x  c $    x  c $, P`       `A8 73??"pM x 73dAD  T  ?? P,$D  0 ,JY NQxvy((ug{_:pH = 0.98), R Er = 29%r&0# "#"*"L H  0޽h ? T3f3fzr___PPT10R+'D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+8+0+0 +  0 TL(  x  c $ഝ @`     C x` 0e0e       ZA9 83??" x 83d  ZA: 93??"x 93d  ZA; :3??"  x :3dAD  ZA< ;3??"@S x ;3dH  0޽h ? T3f3f   0 L(  x  c $D T$     C x@ 0e0e i?   `  c $A> <3?? <3  ZA? =3??"!x =3d  ZA@ >3??"yPx >3d  ZAB ?3??"`  x ?3d  ZAC @3??"  x @3dAH  0޽h ? T3f3f4  0 t(  x  c $xA Pp@     C xp0e0e `   `  c $AD A3??T A3  ZAE B3??" q x B3dAt  ZAF C3??" ggx C3dP  HP o?"   .s^asQ|: |nxh_:P 2&$ $&$  $( H  0޽h ? T3f3f  0 ,(  x  c $,t     C x0e0e p     `  c $AD D3??T D3  ZAG E3??"u x E3d  ZAF F3??"b@x F3d  H o?"   |nxh_:> 2&$$H  0޽h ? T3f3f   0 B :  (  x  c $   `  c $AD G3??T G3  ZAH H3??"T " x H3d  ZAI I3??"Kx I3d  TF o?"@ lя20, R 1 Seu, _ g{_:" 2"             # & #   $&$$NJ  HR o?" J ^(c/Ka1>20, Ka2c>20Kw,sSOKa1NKa2vя, _NSO(ug{_{)0 2 ' & & & .   &   &   .   & & & & . ' & .   &   &   .  $$ ('( f H  0޽h ? T3f3f  0 N(  ~  s * l    x  c $50    ZAJ J3??"h O x J3dH  0޽h ? T3f3f   0 [(  ~  s *@   x  c $\Bp  `  c $AK K3??, d  K3  ZAL L3??"q 0 x L3d  N?? 0,$D  0 8((ug{_, pH = 9.77, Er = 22%)f0 "       6   Tb ??@ <  g pH = 9.66& 0 $ H  0޽h ? T3f3fzr___PPT10R+^:D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+8+0+0 +b 0   (  $  c $C{    . (lWYNx (u(lx) NH2CH2COOH NH3+CH2COOH NH3+CH2COO- NH2CH2COO- pKa1=2.35 pKa2=9.78 H2A+ H+A- A- (lWYNx (lWYNx (lWYNx 3yP[ SgyP[ 4yP[ I{5upe: [H2A+] = [A-]n-0n2n;PPGPOn '$ +$         +$  0   0 /$ / $$$$$0$$$$0$$$$$$$$$$$$$$($(,,, ,,,0/0$4444044pu*8   Hl|?" C-H+$(2  Hm?"`   <(2   H,?"  C-H+$(2  H?" p  <(2   Hr?"` 0 K+H+,(2   HP{?" 0 K+H+,(2 B  @ TDԔ?"@ @ 2  @ # BoENGvYIRQo? o@o`To@o`TR`T@o`TR`T" pf   s *A M3??@`[ M3f   s *A N3?? @[ N3   N{??`W <6u(lxnmvpHNvQI{5upevpH(sSpI)/f&TvI{? '&'&&'ZH  0޽h ?  T3f3f^  0  $$(  ~  s *{p  { v 1 # #""Q6P1  T{?" 1 n6.02 @`   T{?" 1 s 2.34 9.69    @`  T<.{?" 1 G5 H CH3-C-COO- +NH3 NNNN" @`$  T5{?" 1 N(lx Alanine   @`  T6{?"  n5.68 @`    Tr{?"  s 2.21 9.15    @`   T({?"  jF H HO-CH2-C-COO- +NH3"NNNN4   @`   Tȃ{?"  ~N(lx Serine   @`   T{?"I n5.97 @`    T {?"I s 2.34 9.60    @`  T{?"I C1 H H-C-COO- +NH3  NNNFN"  @`$  T4{?"I u(lx Glycine   @`  T{?"I t I{p5upH @`)  T{?"I pKa@ @`   T{?"I p~g_ @`   T{?"I p(lWx @`B  Ho ?"B  Bo ?"IIB  Bo ?"B  Bo ?"  B  Ho ?"11B  Ho ?"1B  Bo ?"1B  Bo ?"1B  Bo ?"1B  Ho ?"1F 0 @  0 @B  NDo?"0B   NDo?"PB ! NDo?"  B " NDo?" B # NDo?"` ` @B $ NDo?"` ` P H  0޽h ? T3f3f!  0 F!>!0%% (  ~  s *Pr  r v 0 # #""CDC0  Td+r?"  n9.74 @`  T.r?"p  y2.18 8.95 10.53 @`  THr?"p p U H H3N+-C4H8-C-COO- +NH3X)FBJBJFNFNFFNF#NNFN"$ @`(  T4r?" p V(lx Lysine.  @`  TEr?"<  n3.22 @`   T6r?"p<  x2.19 4.25 9.67 @`   Trr?"p<p  X H HOOC-CH2-CH2-C-COO- +NH3:"#"FBFNFNFFNFFFNFN" . @`>   T tr?"<p   7(lx GlutamicAcid.   @`   Tr?"< n5.97 @`    Tr?"p< s 2.32 9.62    @`  T r?"pp< nH CH3H CH3-CH-C-COO- +NH3IFN FN FNFNFN"( @`"  Tr?"p< ,(lx Valine   @`  Tlr?"0 t I{p5upH @`)  T*r?"p0 pKa@ @`   TV?"p0p p~g_ @`   TV?"0p p(lWx @`B  Ho ?"00B  Bo ?"B  Bo ?"<<B  Bo ?"  B  Ho ?"B  Ho ?"0B  Bo ?"p0pB  Bo ?"p0pB  Bo ?"0B  Ho ?"0ZF      B  NDo?"  `B   NDo?"P P `B ! NDo?"P P PB " NDo?" 0 B # NDo?" P B $ NDo?" B % NDo?" H  0޽h ? T3f3f  0 F>@"" (       0V  `&  V z J  # #"&0) P    TV?"P J s 2.0 ~ 2.4    @`    TV?"  PJ pNˆ}v @`   T#V?"b J m5.6 @`   T,V?" bJ z@nYNy tˆ}v   @`   T;V?"P   u 2.71 ~ 3.00    @`    TdDV?" P  rÀˆ}vv @`    TBV?"b   s 6.3 ~ 7.3    @`   TPRV?" b  z@nNy tˆ}v   @`   T$hV?"P  u 4.80 ~ 4.85    @`    TqV?" P  r@nˆ}v @`   T{V?"b  m7.0 @`    TV?"b  r~ˆ}v @`   TV?"P m5.1 @`   TКV?" P z@n2uy tˆ}v   @`   TV?"b  m9.7 @`   TpV?"b t ~ހr }C @`   THV?"P u 5.30 ~ 5.35    @`    TV?" P p\ } @`   TV?"b  u 12.0 ~ 12.4    @`    TU?"b r||ˆ}v @`B   Ho ?"B   Bo ?"B   Bo ?"B   Bo ?"  B   Bo ?"  B   Ho ?"JJB   Ho ?"JB   Bo ?"bbJB   Bo ?"  JB !  Bo ?"PPJB "  Ho ?"JH   0޽h ? T3f3fP  0 P(  x  c $U  U x  c $TU@  U   ZAM O3??"zx O3d  ZAN P3??" X x P3d  ZAO Q3??" @)kx Q3d  ZAP R3??"}V x R3dH  0޽h ? T3f3f=  0 `}(  ~  s *(>UP   U x  c $U@ U <  ZAQ S3??"0 T  S3$D  0d  HLdU?"P @ ,$D  0 ApH=6.85(2$H  0޽h ? T3f3f  0 p((  ~  s *UO   x  c $PqTpP     ZAR T3??"Px T3d  ZAW U3??"`@? x U3d  ZAX V3??" `@ x V3d   fAY W3? ?? `Tr  W3H  0޽h ? T3f3f.  0 n(  ~  s *LT`  U x  c $WT` U   0sT 0p Vz:_x(NaOH) (P[agN: [H+] + c(NaOH) = [OH-] N,`Q: [OH-] = c(NaOH) > &  &                &        r  Nt T??  <c(NaOH)>10-6molL-1 RSN_eu4lvx'`.f 2     . H  0޽h ? T3f3f  0 2* (   ~   s *;P U `   c $A[ X3?? d  X3   ZA] Y3??"7 x Y3dB  @ NDԔ?" H   0޽h ? T3f3fC  0L0 2* $(  $ $  0?;  T  $ c $5T <$  0 T &xQvw $ c $A^ Z3?? 88 Z3$D  0x $ <A_ [3?? [3x $ <A` \3??@F \3 $ 0(H;  p6 2Ggx $ <Aa ]3??N  ]3`  $ c $AK ^3??, d  ^3x  $ <Ab _3??P` _3  $ 0; 0g b HQ c{S_   2G  $ 0Dd;@ 0 ,$D  0 1_xA-㉻yvOH- N_eu 0ZEEEe6H $ 0޽h ? T3f3f  ___PPT10y .+;]D ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* $%(D' =-o6Bwipe(up)*<3<* $D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-o6Bwipe(up)*<3<*$+p+0+$0 ++0+ $0 +X   0 z((  (~ ( s *}; P@ ; ` ( c $A[ `3?? d  `3 ( ZAc a3??"  x a3dB (@ NDԔ?"@@  H ( N(;??p ,$D  0 H2SO4:NUOSO|L 2     H ( 0޽h ? T3f3f~v___PPT10V+2ٓD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-s6Bwipe(left)*<3<*(+8+0+(0 +p  0  ,(  ,x , c $# `P` ; H , 0޽h ? T3f3f  0L0 0(  0x 0 c $; `  ;  0 s *5  `<$ 0 ; < 0 ZAd b3??"  b3$D  0d 0 Te  ??0 `  t$N1_xnm{|+B#style.visibility<*<%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*<D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*<D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-o6Bwipe(up)*<3<*<D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =-s6Bwipe(left)*<3<*<+8+0+<0 +  0 TL@(  @ @ c $^0   "p`Pp @  `Aj i3??"P| x i3dH @ 0޽h ? T3f3f  0  DX(  D D c $dP   "p`Pp D ZAk j3??"p x j3drF ` c D ` c D ZAl k3??"`  x k3d D T ?? c p ^(uя  L BtSԔ p,$D  0 > " L 0T]@@ ,$D  0 "$ReagN, nx[(uя+B#style.visibility<*L%(D' =-o6Bwipe(up)*<3<*LD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-o6Bwipe(up)*<3<*LD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-o6Bwipe(up)*<3<*LD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-o6Bwipe(up)*<3<*L++0+L0 ++0+L0 ++0+L0 ++0+L0 +  0 |tPP (  P P  0Т  -&   x P c $`@  F z F  P  zF  P  fAo n3? ??z F  n3 P T( ?? p @ 4^ 2H P 0޽h ? T3f3f\  0  `T(  Tx T c $p    T ZAp o3??"Rx o3d  T c $Aq p3?? 7 x p3d7H T 0޽h ? T3f3f  0 pX((  Xx X c $4   X c $Ar q3?? D x q3dB X NDo?"0 0B X NDo?"@B X NDo?"H X 0޽h ? T3f3f|  0 ,$\(  \~ \ s *``    \ 0' P@ 4.4.1 Q[ϑ* F $$ \ s *As r3?3?P nKx r3dB \ BH0 o?"JP  pO1LnmvpHXRdpHUSMOe@b:_xdb mol O1LnmvpHQ\dpHUSMOe@b:_xda mol~9          \ T43 o?" @_  Lb/f  B \ s *޽h ? T3f3fK   0    ` (  ` ` c $At s3?? x s3d ` Tm o?"- p (P[agN:. 2&  m ` T(} o?"{] [H+]+b = [A-]+[OH-] / *   O  O   ` H  o?"  ZL HA-A- SO| HA(c) +OH-(b) ' 2         G G"F w  ` w  ` ZAu t3??" x t3d ` ZAv u3??" x u3d  ` T` o?"w  >9hnc T bc{_:r 2&   &   &  H ` 0޽h ? T3f3f   0 "d(  d d c $    "p`Pp d HlI?"` ,$D  0 1. b "c, cX'YRb X'Y 2. [H+] = Ka sS pH = pKae bmax = 0. 575 c 3. QV: pKa-1 < pH < pKa+ 1b 2G0nPx  f3          f3    $     $      $    f3    (  $  $    (    @`0 d T ?? ,$D  0 xqQmSO|Q[ϑvyrp*    H d 0޽h ? T3f3f  ___PPT10~ +骑D ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =-o6Bwipe(up)*<3<*dD' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*d%(D' =-s6Bwipe(left)*<3<*dD' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*dA%(D' =-s6Bwipe(left)*<3<*dAD' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*dA^%(D' =-s6Bwipe(left)*<3<*dA^+p+0+d0 ++0+d0 +  0 hM(  ha F ] h ] h ZAw v3? o?"- v3 h Nvo?"`  T2.88 2 h Nao?" ] 4.76 pKa< 8-2  h H0Y?"` @ XH+: 23 3$) h H?" )  0.1molL-1 HAc V(2I  = h N?" @pF  0.1molL- 1 Ac-dO  O    h Tğ o?"0 J8.88   h T o?"p  `OH- @ 2O $%  h TX o?"! W HAc+Ac-N 2O B  h HDo?"  B  h HDo?" B h HDo?"   B h NDo?"  B h NDo?"   h 0 p L40.1molL- 1HAc nmvb - pHf~b  O   (  8 H h 0޽h ? ̙33  0 vnl(  l~ l s *p   B l NDo?"0   l H?"   > 2 v P`j l# #""~P`jf l Z?"B` `e  b = 0.04bmaxX  f f f f @`V l ZH?"F` Be  x1= 0.99, x0= 0.01r f f f f f f @`S l Z8?"P` Fe  pKa - 2` f f f(f f @`h  l Z?"B`N b = 0.36bmaxZ (2     @`T  l Z?"FBN x1= 0.9, x0= 0.1r       @`Q  l Z`?"PFN pKa-1`   (  @`f  l Zd0?"BN``  b = 0.36bmaxX      @`T  l ZXK?"FNB`  x1= 0.1, x0= 0.9r       @`O l ZS?"PNF`  pKa+1^   D  @`f l Z?"Be `j b = 0.04bmaxX  f f f f @`V l Zb?"Fe Bj x1= 0.01, x0= 0.99r f f f f f f @`Q l Zn?"Pe Fj pKa + 2^ f f fDf f @`B l Ho ?"Pj`jB l Bo ?"P` `` B l Bo ?"PN`NB l Ho ?"P`B l Ho ?"PPjB l Bo ?"FFjB l Bo ?"BBjB l Ho ?"``jB l Bo ?"Pe `e H l 0޽h ? T3f3fK  0   p (  p~ p s *     p c $T``0  "p`Pp0 p H?" @ `M ,$D  0 v4.5 ^ 6(2 &* p Hܲ?"@ ,$D  0 p8^10(2 &D p H?"pM ,$D  0 JHAc  NaAc : pKa= 4.76 (pH 4^5.5) NH4Cl NH3: pKb= 4.75 ( pH ) (CH2)6N4  (CH2)6N4H+: pKb= 8.87 ( pH ) nP            !                 (   j 4: p H:?" 0,$D  0 ZL2. Nr^pbKm[: OYEDTAn[Pb2+e, N(uHAc-Ac-c6RpH.^'(2         H p 0޽h ? T3f3fe ] ___PPT10= +0Dy ' = @B D4 ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-o6Bwipe(up)*<3<*pD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*pD' =+4 8?dCB1+#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*pD' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D' =-o6Bwipe(up)*<3<*p++0+p0 ++0+p0 ++0+p0 +  0 t<(  t~ t s *5 M   x t c $T=`    t TLD ??@ 6 zJQnmSm^v{el g:Q[ϑl0QnmpH{_l0Sid\Rpel.&02:   H t 0޽h ? T3f3f   0 x^(  x~ x s *m p   ~ x s *|0P    x c $Ax w3??P (x w3d x c $Ay x3??  x x3dr x Z  ??@ ,$D  0 O10 2k6RY200 mL pH=9.35 vNH3-NH4Cl Qnm NO勶nm(WReQ1.0 mmol vHClbNaOHe pHv9eS N'YN0.12USMO (uY\KQNH4Cl TY\kGS1.0 molL-1 (l4lt :  H x 0޽h ? T3f3fzr___PPT10R+^:D'  = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*x%(D' =-o6Bwipe(up)*<3<*x+8+0+x0 +  0 7/|(  | | H/ ?"P X  ` | c $Az y3?? y3 | H: ?"  <S 2# f | s *A{ z3??K9 z3` | c $A| {3??Y  {3 | TF  o?" r  .m(NH4Cl) = cx(NH4+) V M 2$3$3$3$3$3$3$3$3$3/$3$3$3$3$3 | TR  o?" 0D MV(NH3) = c x(NH3) V /c(NH3) 2$3$3$3$3$3$3$3$3$3$3$3$3$3$3$3$3B | s *޽h ? @Eff؂o  0 PH(  x  c $T      ZA} |3??"` Xo x |3d   ZA~ }3??"P Vpx }3d H  0޽h ? T3f3fp  0   (  x  c $ @`   H  0޽h ? T3f3f@  0 1@)@0BB?(  x  c $8 p   =  p` # #":. oonooopnp `   # l8 ?"` Z  @`   # l ?"p  Z  @`   # l ?"^p  Z  @`   # l` ?" ^ Z  @`   # lg ?" ` Z  @`    # lk ?"p  Z  @`    # l(t ?"^ p  Z  @`    # ll ?"  ^ Z  @`    # lh ?"y `  n4.63 @`   # l ?"p y   f*NH30 @`'  # l왕 ?"^y p  u 6.3 10.1    @`"  # lȩ ?" y ^  pxx  @`   # lp ?" `y  n5.79 @`*  # l ?"p y  x* N2uW2u @`+  # lƕ ?"^ p y  y3.0 4.4 6.1 @`"  # l`Е ?"  ^y  pgjx @`  # lٕ ?" `  m7.9 @`$  # lH ?"p   r NYN @`   # l ?"^ p  n4.65 @`"  # l0 ?"  ^  p*YNx @`   # l?"+`  n8.74 @`*  # l?"p +  x*mQ!k2uWV @`(  # l?"^+p  v 4.00 5.28    @`J  # l,?" +^  NNx(%tsx)  0 @`A  # l?"`+ pKb@333333 @`   # l?"p + n1_x$33 @`   # l?"^p + n3.65 @`   # lxU?" ^+ n2ux @`,   # lU?"N` z2.0 6.9 11.7 @`" ! # l`U?"p N p*xx @` " # lU?"^Np  m2.7 @`" # # lLU?" N^ p/lYNx @`! $ # llU?"`N o9.24  @`" % # lT?"p N p*|xx @`( & # l|T?"^p N v 2.5 9.7    @`$ ' # lxT?" ^N r(lWYNx @`A ( # lxT?"p` pKa@333 @`" ) # lT?"p p p1_x %3 @`T * # l\T?"^pp  pKa R3333 @`" + # lȶT?" p^ p1_x %3 @`B ,  `1 ?" N`NB -  `1 ?" `B .  `1 ?" +`+B /  `1 ?"  ` B 0  `1 ?"  ` B 1  `1 ?" y `y B 2  `1 ?"  ` B 3  `1 ?"^p^ B 4  `1 ?"p B 5  fo ?" p`pB 6  fo ?" p  B 7  fo ?"`p` B 8  fo?" ^B 9  fo ?" `B :  fo ?"p pp B ;  fo?"  B <  fo?"  B =  fo?"``B >  fo?"` `B ?  fo?"^p B @  fo?"p B A  fo?"`H B TtT ??pP  h-NSb* g:N8^(u.V 2' & ' .H  0޽h ? T3f3f8 0 @8(  x  <A ~3??0\  ~3  HT?" Pz fpKa: 3, 5, 7, 9, 11Ny1_x c H"0.1molL-1, bmax= 0.0584( $\  6T p 0 hQWQnmb ~ pHVb     $H  0޽h ? 3380___PPT10.d0bY  0 zP(  ~  s *;p  T x  c $T; P T ~ 0P  # #"*yyzyy0    T;?" 0P  p12.454  @`  Tt;?" 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B&C)DEF &) @`K  t B " 3 K  i  # BC(DEF ( @`J # h K  $ B5C(DEF .5( @`Q  A  % B&C(DEF &( @`p  7  & B%CFDEF<% F< @`  ' BCFDEF< F< @` 1  w B ( 3  q  B ) 3   B * 3    B B + 3  n B , 3  P B - 3   B . 3   IB / 3   B 0 3   B 1 3  9 uB 2 3  / MB 3 3  % CB 4 3   9B 5 3   B 6 3   B 7 3    8 BC(DEF ( @`  B 9 3   B : 3    ; BCGDEF< G< @` o-  < BCGDEF= G= @` 2< y = BC=DEF3 =3 @`& (D e > BCGDEF= G= @`- L [ ? BC=DEF2 =2 @`5 S GB @ 3 < S < A BC(DEF ( @`D b < B B%CFDEF<% F< @`L q 2 C B5C2DEF-52 @`L   D B&C(DEF &( @`j  B E 3    F B5C)DEF .5) @`   G B5C(DEF .5( @` 6 B H 3    I B5C(DEF .5( @`   J B5C(DEF -5( @` s1  K B5C)DEF -5) @`u ^ B L 3  T# sB M 3  TI sB N 3  J hB O 3 JKhB P 3 @^B Q 3 @^B R 3 66cT S B6C(DEF .6( @`,TB T 3 F,NJ U BCDEFby/= @ R  V BCeDEFec=)/ @R>   W BC[DEF[jG)7 @ v>  X BCdDEFdKF2 @v a  Y zB-CDE F -@a j   Z zB&C(DE F(&@ B j  [ zBCDE F @ . B BB \ 3   .  ] zBCDE F@    ^ zBC<DE F<@   _ zBC=DE F=@ x  ` zBCDE F @ d xBB a 3  F d b zBCDE F@ ' F c zBC2DE F2@  ' d BCDEFo2 @ +  e BCDEF[) @ k + f zBC<DE F<@ / kBB g 3   / h zBCDE F @   i zBCDE F @   j zBC=DE F=@   k zBC<DE F<@ e&  l zBCDE F @& G5 e m zBCDE F @5 (D G n zBC DE F  @D S ( o zB&C(DE F(&@S y  p zB-CDE F -@y   q BCGDEFG&<c( @   r BC=DEF=[)(  @ ^#  s zBCDE F @# J^BB t 3 6FJBB u 3 1 k H2 v C 1 5 hH2 w C 3f1 R - H2 x C 3f1 %5 H2 y C 1 - 1H2 z C 1 %5  { 6 Z j ]Z C U7.7$$  | 6Z q a  U9.7$$  } 6$"Z y i  U8.7$$  ~ 6,Z j  Z  U4.3$$   6d7Z  )f S0$$   6$BZ  )  S2$$   6LZ P )6  S4$$   6VZ )  S6$$   6+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+8+0+0 + 0 @ (  4  HO[ ?"0 "NaOH n[HAc (Sm^ N T)20 2 G6F }    H\[ ?"0@M FpH(0 2g   ZA 3??"` 3  Hxf[ ?"p`Z T1molL-10 0 2"*  HPq[ ?" V 0.1molL-10 0 2"*  Hh{[ ?" 0 W 0.01molL-10 0 2 "*   Hl[ ?" p  E6(0 2g   H[ ?" p  E4(0 2g   H[ ?" p  E2(0 2g   H0[ ?"p E8(0 2g   H[ ?"P`Z F10(0 2g  H[ ?"P F12(0 2g   H@[ ?"0  T  ~9.23 8.73 8.23T0 g3gg3  H[ ?"P P J  ]HAc$0 2c  H[ ?"  ]HCl$0 2cB  NDԔ?"0 B  NDfԔ?"0  B  NDԔ?"0 P PB  ND3Ԕ?"0 ` `(  Hh[ ?"   10.70 9.70 8.70 7.76j0 2g3gg3gB B TDfԔ?"P ` B B TDԔ?"P ` B B TD3Ԕ?"P `    `[ Ԕ?" PP  N(0g    T3Ԕ?"     `[ Ԕ?"P `  N(0g 3   H\ ?"  dzÍV&0 2efc  H \ ?"} 3 0 50 100 150 T%l40 2cc *ccc2  H<\ ?"P J  H4.76(0 2g36   s *"\ !@p ,$D  0 $Sm^X'Y10 P zÍXR1*NpHUSMO" 2g>H  0޽h ? 33zr___PPT10R+g:D' ~ = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* +8+0+ 0 + 0 P`(   F 0   0   <A 3??0  3H2  C 3fi+@0 p   H/\ ?"P 0  [HCl"0 2$  H9\ ?"  WHAc0 2   HA\ ?" @ @HA"0 2$  HK\ ?"r pKa=7L0 2""*"   HW\ ?"   pKa=4.76L 0 2""*"   Hpc\ ?"P px j  \2uW~(0 2g    T33Ԕ?"0  P   Hm\ ?"P px  n~v̑Z^ Z^( 0 2 g3   Nhw\  o?"` @  X10 9.7P  HP\  o?"P 0 *  \2uWYj(0 2g    `؉\ Ԕ?"0  N(0g    N\  ?? R7.76 2  N4\  ??   Q4.3 2   f Ԕ??0 &  B\ 0*0* < J0.10molL-1NaOHn[0.10molL-1 HA(Ka N T)&&f&f.f&f&f & f . f & f &  &  .  & B    H\ ?"x Pn[zÍ HCl:4.3-9.7 HAc:7.7-9.7 HA:9.7-10.0d)0 2g $ $3 $.   N\ ??` @ ,$D  0 (KaX'Y10 P, zÍXR1*NpHUSMO.8 2"*"j@2  C i+p@p@2  C 3fi+@p0@2  C i+@pPH  0޽h ? ̙33zr___PPT10R+y?D' ~ = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+8+0+0 +$ 0 `%%(    Bd\  o?"P- & :_xn[1_x(NH3)vn[f~  2       e.F 7   7 +  B\  o?"O 0.10molL-1 HClL0( "*"$  B]  o?"7  NH3 0.10molL-1 pKb= 4.750( &3.3&3 "*""*"  B \  o?"  <(2 B  TDgԔ?"F      B`]  o?"p I 0 50 100 150 200 T/% |J0 2cc %c  c AN       ZA 3??"PC 3   B4&]  o?" XNaOH(2   BT0]  o?"c ONH30(2  B:]  o?"c P12(2  B$E]  o?"`Cc P10(2  BN]  o?"`  58(2  BX]  o?"`   56(2  Bb]  o?"   54(2  Bk]  o?"c  52(2  B`v]  o?" 6pH(2  BT]  o?"  d 9.0  (2 r  TgԔ?"    B]  o?"s   R6.25(2  B4]  o?"c   V5.28(2  B8]  o?"# C  R4.30(2  Hw]  o?"v   RzÍ(2  B]  o?"0 C p c  U3.1(2  B]  o?" @   U4.4(2  B<]  o?"0 s p  U6.2(2  B@]  o?"p c   ?MR(5.0)(2  B]  o?"p p  ?MO(4.0)(2   Bt]  o?"   8 (2 ! B$]  o?"s  8 (2 " B`]  o?"3 0 S  8 (2 # B^  o?"# C  8 (2 $ BX ^  o?"0 ` 0  X8.0 PP(2l % s *l^ ! ,$D  0 (zÍYN1_x'`, 2uW~b2uWYj\Oc:yBRn 2 cgcgc$ B  s *޽h ? T3f3fzr___PPT10R+D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%%(D' =-o6Bwipe(up)*<3<*%+8+0+%0 +E.  0 C&;&p//%(  ~  s *@"^   ^  C F 0@  0@  H,'^ ?"@ [T/%<0(2 a  N   0PN     ZA 3??" 3  B9^ 3?" >*  O NIII O NII O NI0caiagaiagail   BHE^ 3?"p }\ MIII O MII O MI O0aicaigaigc   H4[^ ?"8 9U   Ka=10-9 Kb=10-50Zaiaiegmgegmgc   Hi^ ?" ` 8  Ka=10-7 Kb=10-70Zaiaiegmgegmgc   Hw^ ?"  Ka=10-5 Kb=10-90ZaiaiegmgegmgF   TD^ ?" r S (c =0.10molL-1)0(2aaa (ac$F 9  i  H^ ?"pPp U 60 2aeg  H^ ?"9 @pH"0 2a  6d^ 8 W (G   6^ qN W (G   6^ { W (G   6^  NQ ,G33  6L^   NT ,G  6^ (  NS ,Gff  6^  JR (G  B0^  o?"p0 <(2 a  T_  ??W 1H++HA HA A- A-+OHf2 2 #  +B  ZD??0PB  ZD??0PB  ZD?? B  ZD?? B  ZD??B  ZD??B   ZD??pPB ! ZD??00B " ZD??B # ZD??0B $ ZD??` B % ZD?? p B & ZD??p0B 'B ZD??` ( T_  ?? MOH-. 2 ) T$^  ?? `  MOH-. 2 * T!_  ?? MOH-. 2 + T ,_  ??   LH+. 2 , T6_  ??0 LH+. 2 - T@_  ?? LH+. 2n . NL_ ??@,$D  0 Ka=10-7 :NLu` 2\ / NpO_ ?? 0`.,$D  0 K<10-7eԏn[SNT?N 2 B  s *޽h ? 33___PPT10+d2D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*.%(D' =-o6Bwipe(up)*<3<*.D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*/%(D' =-o6Bwipe(up)*<3<*/+p+0+.0 ++0+/0 +  0 (  x  c $\n_  p  _  ~  s *u_  `p _  L  H_ ?"  L* Npel{~p] * ~p]lQ_T~p]V SvQ^(u D'0 2 "$&$&$&  <A 3? ??"` > 3H  0޽h ? 33  0 z(  ~  s *(_  `  _    0 ZA 3? ??"`@ 3 _ d 0 ZA 3? ??"`   3 _ "  H_ ?"p$  (WspDя P(2# 0 TA 3? ?"` P  3 _ H  0޽h ? T3f3f___PPT10i. +D=' = @B +e  0   (  ~  s *ȶ_   `  _   0 TA 3? ?"`#; 3 _  0 ZA 3? ?"` 3 _  0 TA 3? ?"`f  3 _   H_ ?"u] 8PCE: 2   H_ ?"0w >sS:(2#(  H`_ ?" = ,$D  0 n:_xn[:_x*0(2g     fA 3? ??p0  3    fA 3? ??} -8 3$D  0H  0޽h ? T3f3f}u___PPT10U.@}l+s}D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-s6Bwipe(left)*<3<* +8+0+0 +q  0 l d (   0 HA 3? ?P` 3 _   Na ?" r O11 0.10molL-1NaOHn[0.10molL-1 HCl R+R(uMO0PP\Oc:yBR0{Et=? XB0g & &  " * "  c   " * " C c  " $$ (c( ,c, ,", ,*, ,", t    6A 3? ?@ 8 3$D  0  H8 a ?"   g "1 MO pHep = 4.40@g&&&.&2  H-a ?"  ,$D  0 "2 PP pHep = 9.0^0@"&"*"2Z  H2a ?"p ,$D  0 ԏn[  ]&{SvS@ 0(2g g &H  0޽h ? T3f3f  ___PPT10 .U+uLtD ' = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*+p+0+0 ++0+0 +  0    (  ~  s *Da @  a   0 TA 3? ?"` 3 a (  HLa ?"pL' Zero Level: HA, NaOH, H2OJ 2   0 ZA 3? ?"`|x 3 a   Hp`a ?"P DPCE:$(2  Hja ?"@  HMBE$(2n  c $A 3??"` P>  3  0 TA 3? ?"`js  3 a   0 TA 3? ?"`P i  3 a ~B   HD?" 7     s *A 3? ?"`p  3$D  0dt   H4{a ?"PP ,$D  0 HCln[A- YUO{?L0(2&.&0  Na ?? ,$D  0  NaOHn[H2AA2-YUOf 2"*"*"*4B  s *޽h ? T3f3f___PPT10.WPk)+R#D' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*+p+0+ 0 ++0+0 +=   0 ,(  ~  s *a   `=  a  ~  s *a P  a  t  s *A 3? ?"`}  3lz  &   &,$D  0  Ha ?" ] ,$D  0 *n[pH=7.0 [H+]=[OH-]0  & . & . &  *    6A 3? ?"` & 3$D  0dH  0޽h ? T3f3fIA___PPT10!.Y@+J_vD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*+;  0 RJ(  x  c $ a P  a    T A 3??" 3B  NDԔ?"+ H  0޽h ? 33___PPT10i.(+D=' = @B +  0 ph  (  f  s *A 3? ?  3`  c $A 3??p  3f  s *A 3??   3`  c $A 3??8 d  3f  s *A 3??@ p  3f  s *A 3? ?{ * 3f  s *A 3? ?  3   Tb  ?? : 2    N b ??P ,$D  0  NaOHn[H2AA2-YUOf 2"*"*"*4t   Hb ?"PP ,$D  0 HCln[A- YUO{?L0(2&.&0H  0޽h ? 33___PPT10.+tDD' = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* +p+0+ 0 ++0+ 0 +A  0 XP0(    HP,b ?"   z ]lQ_\](Et )Nn[S^8^pe(Kt )0n[irSm^(csp)0nx[~pv]($pH)T|weg ^8^v‰0>00x2 c " * c " * c " * c   c  C    `  c $A 3??@   3`  c $A 3??I 3<  BGb ?"`  *vƉc:yBRSr, ~ g0.3pHvQeQ.*0(2gDH  0޽h ? 33___PPT10i.+D=' = @B +  0 @ 2(   F p   pN p   p   HHYb ?"pp XX1_x(x)n[ lg(csp Kt); ~Tn[ lg(csp K (MY))^-0 2 $$,$,$ $$,,  ,$$$~    ZA 3? o?"QU 3   Tplb  o?" NEt x 100*  T 0   # Q    T=b  o?"0*l  lDpM DpH     T=܄b  o?"n  o 0.05 0.05 $   T=b  o?"qkE  n 0.1 0.1 $   T=Lb  o?"& R  n 0.2 0.2 $    T=b  o?"@:  r 0.3 0.3 $   T=@b  o?"` 0Z n  n 0.5 0.5 $   T=b  o?"u o =  n 1.0 1.0 $   T=Tb  o?" _  n 1.5 1.5 $   T=b  o?" f  n 2.0 2.0 $    T=@b  o?"+   o 2.5 2.5  $   T=b  o?"a  n 3.0 3.0 $   T=,b  o?"e l4.0 4.0 $B  B TD3|?"5B  B TD3|?" Z   Hc ?"z  &~ p ] V x 0(2 0 2 g eeeH   0޽h ? 33  0 PR(  ~  s *Xc   `  c    s *`c \  c  "p`PpH  0޽h ? 33___PPT10i. +D=' = @B +  0  `(  ~  s *c    c  x  c $p&c ` c    H8c ?" N0.10 mol L-1 NaOH ! 0.10 mol L-1 HAc(0 G&o. G G &  o  . GG ,  H?c ?"0@  L&0(2c  f  s *A 3??C  3H  0޽h ? 3380___PPT10. ȩ  0 (  x  c $hrc  `  c  x  c $vc    c    Hc ?" `9  N0.10 mol L-1 NaOH ! 0.10 mol L-1 HAc(0 G&o. G G &  o  . GG ,  Hįc ?"`  L&0(2c  f  s *A 3??$  3H  0޽h ? 3380___PPT10.B  0 ` X   (      s *c   c     T4c ?"8& H"0c     H0c ?"  6 DpH = 0.3, Et d" 0.2%0px c  " "" " * " ""    H d ?"  gV lg(cspKt)e" 5.7, sS c Ka e"10-8 c = 0.1molL-1, RKae"10-7B0c " & & . & . & " "   " * " * . & o & & &.&&.&. `    Hc ?"] L&0(2c  f   s *A 3??& 3   Hd ?" 0,$D  0 Y(uNhVnx[~p, $pHd"0.05,AQEt:N0.5%, RBllg(c Kt)e"3.3, sSc = 0.1molL-1 eKae"10- 9.4.N0(2 c" ""*"c&&&.&"&& &.&&.&. &   H   0޽h ? 33___PPT10b.>*+fD' d = @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-o6Bwipe(up)*<3<* +8+0+ 0 +/  0 F>$(  $~ $ s *c   `  d  ` $ c $A 3??kF-  3` $ c $A 3??P C   3 $ s *A 3??"`0 @ x 3d $ H\Ad ?"` C lh:yS^v N[hQ z^( 0  g  f $ s *A 3??: 3H $ 0޽h ? 33___PPT10i.C_+D=' d = @B +   0 (l(  (. ( HPd ?"l O(1) P0 2g & 3fg 3f&` ( c $A 3?? 3 ( Hh^d ?"0; XR(0 2g 3f  ( c $A 3??#x 3d ( Hid ?"5 zS^_[hQ >0 2gg3f  ( HXtd ?" 2sSO pH2.4 E t NS 0.1l0 2 g3fg3fo3f g3fN ( Hd ?" ,$D  0  (2) n[Ac-,j0 2c " c k c .  ( c $A 3?? v  3$D  0d>z  g  (  g,$D  0$  ( Hؒd ?"  ,$D  0 bS^_ N[hQ $ 0 2 c   ( H`d ?" g,$D  0 R*sSOpH0.3 E t N 30 2cgcckcgcXl P    (   ,$D  0 ( Hd ?"PP   fR60 2c c   ( c $A 3?? 0 x 3d ( Htd ?"   t(0.02)&0 2e$T ( Hлd ?"0,$D  0 LpHsp=(1.3+4.7)/2=3.0 MO\Oc:yBR, E tH"20%'0 2&.& "&"&"&&.&HH ( 0޽h ? 33  ___PPT10l .K+rVD ' d = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-o6Bwipe(up)*<3<*(D' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* (%(D' =-o6Bwipe(up)*<3<* (D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* (%(D' =-s6Bwipe(left)*<3<* (D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-o6Bwipe(up)*<3<*(+p+0+(0 ++0+(0 +   0 ,:(  ,~ , s *4d `  d   , c $e  `@  d  "p`PpN , He ?" P ,$D  0 YCQxNekn[vagN:> 0 2 g O$ D , H$e ?"},$D  0  mTxRekn[ShQn[vagN?*0(2g  , B'e ?" ' ,$D  0 F $lgKae"4, Etd"1%; $lgKae"6 , Etd"0.1%`$0 2CE EEMEEME EEMEEME.   , H3e ?"`  ,$D  0 cKane"10-8 0 2G$gG$O$O$G$O$H , 0޽h ? 33 ___PPT10 +p D ' ~ = @B D ' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-o6Bwipe(up)*<3<*,D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-o6Bwipe(up)*<3<*,D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-o6Bwipe(up)*<3<*,D' =%(D' =%(D@' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-o6Bwipe(up)*<3<*,++0+,0 ++0+,0 ++0+,0 ++0+,0 +P 0 wo0(  0 0 6We ?"p`j G0 100 200 300 400 (T%)<H0 2D""" 0 6ce ?" B@pKa $pKa 2.16 7.21 12.32!0 2aaia aaica$ ~ 0 H Ԕ?"~ 0 H Ԕ?"0 P 0 6hue ?"P H5.05(0(2e 0 6e ?"P  H5.11(0(2e5 0 <e ?" b  pHsp1= 4.7 pHsp2= 9.7 0aii aiiaF   0 \  0 C ,AH3PO4n[f~t<d  0 6pe ?" HpH*0(2gB  0 H Do?"  B  0 H Do?"  B 0 H Do?"  B 0 H Do?"   0 6e ?" pj K0.5%*0(2g 0 6e ?" 0  K0.5%*0(2g 0 6,e ?" @  L 10.0 9.4& 0022 c 0 6Le ?"  I5.0 4.4&0022c 0 6`e ?"0` R"H3PO4 H2PO4- HPO42- PO43-#0 2$,$,$,$,,$,,$,,$ 0 6e ?"@@ 0 :  H3A+H2A- 0 2ckckck% 0 6\e ?"Pp J  H2A-+HA2- 0 2ckckck 0 6(f ?"   HA2-+A3-^ 0 2ckck 0 6e ?" @: nA3-+NaOHJ 0 2ckcm 0 6f ?"  sp3 sp2 sp10(20(<0(2gogogo 0 c $|f 'g  f  $2NaOHn[0.1molL-1H3PO4 &'&.&.&.&H 0 0޽h ? 33y___PPT10Y+D=' ~ = @B +7  0 4w(  4~ 4 s *.f M  f   F g 4 g 4"  d9f 0e0e      8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||S" f  B 4 H Do?"p p @ S 4 6Jf ?"@ g,$D  0 )sp3: 2HPO42- + 3Ca2+ = Ca3(PO4)2 + 2H+^*0 2ckckkkckckckckcgoB 4 N DԔ?" @@B 4 N DԔ?" @0 @B  4 B D?"@@  4 H}f ?"0 @T ,$D  0 ,~v̑Z^Em݄ (pT=10.0)|0 2gcgfg g$ 8  4 Hf ?"pp ,$D  0 vJ MOĞ (4.4) ( TSm^NaH2PO4Sk) &0(2 gcgaiaiac$P   4 HXf ?"`P \,0(2  F     4    4 T؟f  ?? 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Times New Roman宋体Arial Wingdings Arial Black黑体Arial Unicode MSSymbol楷体_GB2312Tahoma cajcd fntltMonotype Sorts Wingdings 3仿宋_GB2312 华文楷体 华文行楷隶书PixelMathType 4.0 EquationMicrosoft 公式 3.0Microsoft Excel 图表 BMP 图象Microsoft Equation 3.0MathType 5.0 Equation 位图图像 Flash MovieCS ChemDraw Drawing第4章 酸碱滴定法 %4.1 酸碱反应及其平衡常数 幻灯片 3M3.1.2 酸碱反应类型及平衡常数 a. 一元弱酸碱的离解反应 幻灯片 5c. 多元酸碱的离解反应 4.1.3 活度与浓度 幻灯片 9;3.1.4 活度常数Ka、浓度常数 及混合常数 幻灯片 12 幻灯片 13/例1 计算pH=4.00和8.00时的x(HAc)、x(Ac-)不同pH下的x(HA) 与x(A-) HAc 的x-pH 图(pKa=4.76) 幻灯片 17 幻灯片 18 4.2.2 多元酸的摩尔分数 幻灯片 20酒石酸(H2A)的x-pH图三元酸H3A的摩尔分数磷酸(H3A)的x-pH图 "4.3 酸碱溶液的H+浓度计算代数法思路 幻灯片 26 幻灯片 27质子条件式的写法 幻灯片 29/例:浓度为c mol·L-1 的Na2NH4PO4 水溶液%常用酸碱溶液的质子条件式#1.一元弱酸(HA)的[H+]的计算 幻灯片 330例2 计算0.20 mol·L-1 Cl2CHCOOH溶液的pH.)2. 一元弱碱(A-)溶液的[OH-] 计算 思路二%3. 两性物(HA-)溶液[H+]的计算  -例3 计算0.050mol·L-1 NaHCO3溶液的pH.-例4 计算0.033mol·L-1 Na2HPO4溶液的pH. 幻灯片 42+蛋白质基本结构单位——氨基酸 氨基酸蛋白质的等电点(pI)K4. 弱碱(A-)+弱酸(HB) 溶液的pH(Ka(HA) >Ka(HB)) M例5 计算0.10mol·L-1 Ac- + 0.20mol·L-1 H3BO3 溶液的pH .&5. 多元弱酸(碱)溶液的pH计算06. 强酸(HCl)、 强碱(NaOH)溶液的pH计算 幻灯片 50g例 6 计算20.00 ml 0.1000mol·L-1 HA (pKa=7.00) +20.04 ml 0.1000mol·L-1 NaOH的pH. 幻灯片 52 幻灯片 539. 两弱酸(HA+HB)溶液 幻灯片 55w类似地,将cb=[A-]A+[HA]A代入质子条件式, 可得 [A-]=cb+[H+]-[OH-] 代入平衡关系 ,得精确式: 幻灯片 57 幻灯片 58 幻灯片 59例8 在20.00mL 0.1000mol·L-1 HA(Ka=10-7.00) 溶液中, 加入0.1000mol·L-1 NaOH溶液 19.96mL, 计算pH. 酸碱溶液[H+]计算小结1复杂酸碱体系溶液中酸碱形态的计算 幻灯片 63 幻灯片 644.4 酸碱缓冲溶液 幻灯片 66 幻灯片 67 幻灯片 68 4.4.2 缓冲溶液的选择$4.4.3 缓冲溶液的配制方法 #配制缓冲溶液的计量方法 幻灯片 73 幻灯片 74 幻灯片 75 常用缓冲物质 幻灯片 77,常用标准缓冲溶液(用于pH计校准)3.5 酸碱指示剂甲基橙的 x - pH 图 幻灯片 81 幻灯片 82 幻灯片 83(混合指示剂 甲基红+溴甲酚绿,4.6 酸碱滴定曲线和指示剂的选择50.1000mol·L-1 NaOH滴定 20.00mL 0.1000mol·L-1 HCl 幻灯片 87 幻灯片 88'4.6.2 强碱滴定一元弱酸(HA)]0.10mol·L-1 NaOH滴定0.10mol·L-1 HAc或HA (20.00mL , Ka(HAc) = 10-4.76, Ka(HA) = 10-7.00) 幻灯片 91 幻灯片 92 幻灯片 93 幻灯片 94D一元弱酸(碱)及其与强酸(碱)混合物的滴定曲线总结4.7 终点误差N4.7.1 代数法计算终点误差 1. 强碱滴定强酸的滴定误差EtZero Level: NaOH, HCl, H2O 幻灯片 991 2. 强碱滴定弱酸(HA)的滴定误差Et  ~ 4.7.2 终点误差公式和终点误差图 及其应用 强碱滴定一元弱酸(HA)的Et 幻灯片 103幻灯片 104幻灯片 105误差公式的三点应用(1) 计算终点误差'(2) 计算突跃范围: pHsp± pH#(3) 判断酸碱滴定的可行性!误差公式中csp·Kt的含义:幻灯片 111#多元酸能分步滴定的条件:NaOH滴定0.1mol·L-1H3PO4 &NaOH滴定H3PO4 时指示剂的选择&HCl滴定Na3PO4 时指示剂的选择#HCl 滴定0.10mol·L-1 Na2CO3  指示剂的选择幻灯片 118#酸标准溶液: HCl (HNO3, H2SO4)碱标准溶液: NaOH CO2对酸碱滴定的影响幻灯片 1223. CO2对反应速度的影响&4. 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" # $ % & ' ( ) * + , - . / 0 1 2 3 4 5 6 7 8 9 : ; < = > ? @ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _ ` a b c d e f g h i j k l m n o p q r s t u v w x y z | } ~  pp@ <4!d!d))0L. <4BdBdK*0LQF ʚ;p8ʚ;<4dddd)0 ___PPT10D[SOes New RomanLLp-a0pDArialNew RomanLLp-a0p" DTimes New RomanLLp-a0p pp^___PPT9@8DD   @"" "## #$$ $%% %&& &'' '()*+0 +,P/ /0,1 1 2@ 3@7  78 89?  O =M,{4z xxn[l J %$%0$  4.1 xxS^SvQs^a8^pe  4.1.1 xxS^ x qQmx + (P[ HAc Ac- + H+ NH4+ NH3 + H+ HCO3- CO32- + H+ H6Y2+ H5Y+ + H+ _: HA A + H+ ;@Fx0 < $$  "* "*"**"* "*"** "** "*"*"*"*"* "* &  .  &  . j-  O: HAc(W4l-NvyS^ JSS^1: HAc Ac- + H+ JSS^2: H+ + H2O H3O+ ;`S^: HAc + H2O Ac- + H3O+ {Q:N: HAc Ac- + H+ 0Z<Z0Z2   "* "* "  *  "*"*"   "*"*"*       $"$$*$$"$$*$(($/0%D3.1.2 xxS^{|WSs^a8^pe a. NCQ1_xxvyS^6#$ f 4   HA + H2O A  + H3O+ A  + H2O HA + OH  \$ #Pi   "*<"*"*.  "  * <  "*"*<  b. 4lv(P[S^: H2O + H2O H3O+ + OH- (25C) $ 2  ( ( (  , :,${c. YCQxxvyS^     " d. xx-NTS^(n[S^) : Kt n[S^8^pe H+ + OH- H2O H+ + A- HA OH- + HA H2O + A-'& &    ( (    $ (       $ $((((((F/H4.1.3 ;m^NSm^( $$   <3.1.4 ;m^8^peKa0Sm^8^pe SmT8^pe^      4.S^HAc H+ + Ac- F $ Ka : pRf[8^pe (SN t gsQ) : Sm^8^pe (N t, I gsQ) : mT8^pe (N t, I gsQ) IxZ    @O1 {pH=4.00T8.00evx(HAc)0x(Ac-)!          `@: ]wHAcvKa=1.7510-5 pH = 4.00et! <*HAc vx-pH VpKa=4.76)d        >4.2.2 YCQxvid\Rpe$  Rwx(H2A)vx-pHVV       * NCQxH3Avid\Rped $$$$$$$*Rk1u4y~b: M = [H+]3+[H+]2Ka1+[H+]Ka1Ka2+Ka1Ka2Ka3 x3 = [H3A]/c= [H+]3/M x2 = [H2A-]/c= [H+]2Ka1/M x1 = [HA2-]/c= [H+]Ka1Ka2/M x0 = [A3-]/c=Ka1Ka2Ka3/MDn $xx(H3A)vx-pHV H      48 4.3 xxnmvH+Sm^{`$%$,%,.Npel㉐gl \OVl pe #(# '  HQ 4lQ('YϑX[(W0SN(P[lyvir(). \4lQ_(P[Tvb__Q(WI{_v],1Y(P[Tvb__Q(WI{_vS. gsQSm^yMRXN N_1Y(P[pe. 0 " x2#0 " x20 " x2         fd =  RO: NCQ1_x(HA)v(P[agN_ 4lQ: H2O, HA HANH2O(P[ly:HA+H2O H3O+ + A- H2ONH2O(P[ly:H2O+H2O H3O++OH- 4lQ xW xW d''&'33&                                                                    '    33  ''33'33 @> :O:Sm^:Nc molL-1 vNa2NH4PO4 4lnm  2             F    8^(uxxnmv(P[agN_ "    $1.NCQ1_x(HA)v[H+]v{" # " # " +(" # '<8(P[agN_: [H+] = [A-] + [OH-] Z%$-$ $  $%'  : Ka c > 20Kw(10-12.7), _euKw(sS_eu4lvx'`) [HA]= ca-[A-]= ca- ([H+]-[OH-])H" ca-[H+] _я> 20Kw Ka/c = 10-1.26/0.20 = 10-0.56 > 2.510-3 Ee^(uя 20Kw(10-12.7),_euKw(4lvx'`) я> Ka2, [HA-]H"c(HA) ($ pKa e" 3.2, Ra d"5 % ) S: Ka2 c(HA-) > 20Kw, _ яO3 {0.050molL-1 NaHCO3nmvpH. '$$#$ "$*$"$*$"$#$"$#$  6: pKa1 = 6.38, pKa2 = 10.25 $ pKa = 3.87 > 3.2, [HA-] H" c(HA-) Ka2 c = 10-10.25 0.050 = 10-11.55 > 20Kw c/Ka1 = 0.050/10-6.38 = 105.08 >> 20 EeS(ug{_: [H+] = = 10-8.32 molL-1 pH = 8.32 %$$,,, $$,,,$      0 $$$  0$$,,$,$$, $,$$,$$$,,, $,$,$%$,$,$,$ $$6$}U >O4 {0.033molL-1 Na2HPO4nmvpH. &# "*"*"*"#"#6 pKa1 ~ pKa3: 2.16, 7.21, 12.32 : Ka3 c = 10-12.32 0.033 = 10-13.80 H" Kw c/Ka2 = 0.033/10-7.21 = 105.73 >> 20 Ee: $. . &.&.                         $.$ ((((((((((,&,00F+,  ˆ}v(W,g~gUSMO  (lWx $   (lWx    ˆ}v(vI{5up(pI)  $ x4. 1_x(A-)+1_x(HB) nmvpH(Ka(HA) >Ka(HB)) 6="#"&/"#"&"fffffff >) (P[agN: [H+] + [HA] = [B-] + [OH-] |nxh_: я> [OH-] - [H+] cb >> [H+] - [OH-] R_g{_ {Z)PZ Z'  $(0 ''      +        $& 40  O7 {N NnmvpH (a) 0.040 molL-1 HAc  0.060 molL-1 NaAc (a) HQ cg{_: 5" ca>>[H+], cb>>[H+] 4" ~gTt , pH = 4.94V~%$'!            (b) 0.080molL-1N/lYNx  0.12molL-1N/lYNx (b) HQ(ug{_ PZ  % >   O8 (W20.00mL 0.1000molL-1 HA(Ka=10-7.00) nm-N, ReQ0.1000molL-1 NaOHnm 19.96mL, {pH. m' & '                 t0   : ca = 10-4.00 molL-1 cb = 10-1.30molL-1 HQ cg{_, [OH-] = 10-4.30 molL-1 ^(uя 4.4 xxQnm8 $%       :_x: bH+= 2.3[H+]=2.3c(HCl) ( pH<3) :_x: bOH - = 2.3[OH-]=2.3c(NaOH) (pH>11) HA  A- : bHA  A- = 2.3c x1x0 pn$$$O$O$( M $  $"J    b   4.4.2 Qnmv b"b$1. g'YvQR: c 'Y(0.01^1molL-1); pHH"pKa, sSca : cbH"1 : 1I     ` "4.4.3 QnmvM6Rel &&$ 1. ckOReQHATA (NaAc+HAc, NH4Cl+NH3); 2. nm-N[H+]'Y, RǏϑA-, nm-N[OH-]'Y, RǏϑHA; 3. nm-N gHA,SRNaOH-NTNR, nm-N gA-,SRHCl-NTNR.dx0 x      *   M6RQnmvϑel 4 $$ Q[ϑl: (_eQxxGW(u) 1.9hnc_eQvx(x)ϑBl 2.9hnc@bpHBl;`Sm^c  =2.3c x0 x1 3. cx0Nx1vk  3.5 xxc:yBR  >2uWYj Methyl Orange (MO) pKa=3.4  $$$$$$$$$$ 2uWYjv x - pH VN"   "      <2uW~ Methyl Red (MR) pKa=5.0$$  $  BZ^ Phenolphthalein (PP) pKa=9.1"$33 $  mTc:yBR 2uW~+n2uZ~6$$$33$  5.0------5.1-------5.2 f~ pp ~ (uNNa2CO3h[HClec:y~p 1uNrNeOSrSz, SrOe.u333  33 d# "4.6 xxn[f~Tc:yBRv b6"(#("(  \0.1000molL-1 NaOHn[ 20.00mL 0.1000molL-1 HClJ/   6   $4.6.2 :_xn[NCQ1_xHA $"  0.10molL-1 NaOHn[0.10molL-1 HAcbHA (20.00mL , Ka(HAc) = 10-4.76, Ka(HA) = 10-7.00)8U@ K  K        P  ! " # $ % 2NCQ1_x(x)SvQN:_x(x)mTirvn[f~;`~X"&"&"Z & 4.7 ~p] $  -' J4.7.1 Npel{~p] 1. :_xn[:_xvn[]Et`&02$$$$$4 ( Zero Level: NaOH, HCl, H2OH     , )   * 4 2. :_xn[1_x(HA)vn[]Et '(&(&'&'&..$'$6+  0' & O12 (u0.100 molL-1NaOHn[0.100 molL-1 HAc c:yBRPP. {Et=?IZ' &   ( j,   4.7.2 ~p]lQ_T~p]V SvQ^(u :_xn[NCQ1_x(HA)vEt tL P-$& & 3 3  3 & 4/-    .    /    0  ]lQ_v Np^(u &( B(1) {~p] (2) {zÍV (3) $Ren[SL'`""(61 (1) {~p] '$Kt = Ka/Kw = 10-4.76+14.0 = 109.24 R lg(csp Kt )= 7.9 $pH = 0.3, gV Et = 0.02% e   .     c  c    Z  2 *(2) {zÍV pHsp $pH`$&$&$$$$$   $$ Et = 0.1% lg(cspKt) = -1.3 + 9.24 = 7.9 gV $pH = 1.0 5" pHsp= 8.7 \ zÍVpH 7.7 9.7x} $ $$r 3 (3) $Rexxn[vSL'`&$  4 ]lQ_-NcspKtv+TIN:' & . & & . ' & & 5   6 YCQxRekn[vagN: $$ n[vxY:_, cKa1e"10-8 $lgKaY'Y, $pH=0.3, AQEt=0.5%, R $lgKae"5 "   " 0 "  $$&$$$$$  $  $  $  $   $  $   $  $  $  $  $  $  $  $  $d 7 8 &NaOHn[H3PO4 ec:yBRv b|& . & . & . . pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43-  pHsp1= 4.7 pHsp2= 9.7w 23`A# "&&.. &&.. &&..&""*"*"*"**$*"***$"***$9 &HCln[Na3PO4 ec:yBRv b|& . & . & . , pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43- pKb3(11.84) pKb2(6.79) pKb1(1.68) pHsp1= 4.7 pHsp2= 9.7 2 "&&..&&.. &&..&""*"*"*"**$*"***$"***$ "&&..&&..&&..&": :HCl n[0.10molL-1 Na2CO3  $ ;  c:yBRv b, Na2CO3 (H2CO3:pKa1=6.38, pKa2=10.25) pKb1=3.75 pKb2=7.62 CO32- HCO3- H2CO3Z  $  M* M*  <  8cH"0.1molL-1 zRzÍ\, SmRjm9!b   ,= 0xhQnm: HCl (HNO3, H2SO4)d( (( (( ((,xM6R:(u^.UHCl(12 molL-1),HNO3(16 molL-1), H2SO4(18 molL-1)zʑ.=    >3> xhQnm: NaOH ($vM6R: NqTvNaOH(~19 molL-1), (udSCO2 vSyP[4lzʑ. <Z     l ?  CO2[xxn[vq_T>$$ &$ lNaOHՋBR-Nb4l-N+TCO2 g:gxh[:(PP) CO32- HCO3- " x$ " x $$ . ., @   A 3. 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O =]M,{4z xxn[l J %$%0$  4.1 xxS^SvQs^a8^pe  4.1.1 xxS^ x qQmx + (P[ HAc Ac- + H+ NH4+ NH3 + H+ HCO3- CO32- + H+ H6Y2+ H5Y+ + H+ _: HA A + H+ ;@Fx0 < $$  "* "*"**"* "*"** "** "*"*"*"*"* "* &  .  &  . j-  O: HAc(W4l-NvyS^ JSS^1: HAc Ac- + H+ JSS^2: H+ + H2O H3O+ ;`S^: HAc + H2O Ac- + H3O+ {Q:N: HAc Ac- + H+ 0Z<Z0Z2   "* "* "  *  "*"*"   "*"*"*       $"$$*$$"$$*$(($/0%D3.1.2 xxS^{|WSs^a8^pe a. NCQ1_xxvyS^6#$ f 4   HA + H2O A  + H3O+ A  + H2O HA + OH  \$ #Pi   "*<"*"*.  "  * <  "*"*<  b. 4lv(P[S^: H2O + H2O H3O+ + OH- (25C) $ 2  ( ( (  , :,${c. YCQxxvyS^     " d. xx-NTS^(n[S^) : Kt n[S^8^pe H+ + OH- H2O H+ + A- HA OH- + HA H2O + A-'& &    ( (    $ (       $ $((((((F/H4.1.3 ;m^NSm^( $$   <3.1.4 ;m^8^peKa0Sm^8^pe SmT8^pe^      4.S^HAc H+ + Ac- F $ Ka : pRf[8^pe (SN t gsQ) : Sm^8^pe (N t, I gsQ) : mT8^pe (N t, I gsQ) IxZ    @O1 {pH=4.00T8.00evx(HAc)0x(Ac-)!          `@: ]wHAcvKa=1.7510-5 pH = 4.00et! <*HAc vx-pH VpKa=4.76)d        >4.2.2 YCQxvid\Rpe$  Rwx(H2A)vx-pHVV       * NCQxH3Avid\Rped $$$$$$$*Rk1u4y~b: M = [H+]3+[H+]2Ka1+[H+]Ka1Ka2+Ka1Ka2Ka3 x3 = [H3A]/c= [H+]3/M x2 = [H2A-]/c= [H+]2Ka1/M x1 = [HA2-]/c= [H+]Ka1Ka2/M x0 = [A3-]/c=Ka1Ka2Ka3/MDn $xx(H3A)vx-pHV H      48 4.3 xxnmvH+Sm^{`$%$,%,.Npel㉐gl \OVl pe #(# '  HQ 4lQ('YϑX[(W0SN(P[lyvir(). \4lQ_(P[Tvb__Q(WI{_v],1Y(P[Tvb__Q(WI{_vS. gsQSm^yMRXN N_1Y(P[pe. 0 " x2#0 " x20 " x2         fd =  RO: NCQ1_x(HA)v(P[agN_ 4lQ: H2O, HA HANH2O(P[ly:HA+H2O H3O+ + A- H2ONH2O(P[ly:H2O+H2O H3O++OH- 4lQ xW xW d''&'33&                                                                    '    33  ''33'33 @> :O:Sm^:Nc molL-1 vNa2NH4PO4 4lnm  2             F    8^(uxxnmv(P[agN_ "    $1.NCQ1_x(HA)v[H+]v{" # " # " +(" # '<8(P[agN_: [H+] = [A-] + [OH-] Z%$-$ $  $%'  : Ka c > 20Kw(10-12.7), _euKw(sS_eu4lvx'`) [HA]= ca-[A-]= ca- ([H+]-[OH-])H" ca-[H+] _я> 20Kw Ka/c = 10-1.26/0.20 = 10-0.56 > 2.510-3 Ee^(uя 20Kw(10-12.7),_euKw(4lvx'`) я> Ka2, [HA-]H"c(HA) ($ pKa e" 3.2, Ra d"5 % ) S: Ka2 c(HA-) > 20Kw, _ я?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz%    >O3 {0.050molL-1 NaHCO3nmvpH. '$$#$ "$*$"$*$"$#$"$#$  6: pKa1 = 6.38, pKa2 = 10.25 $ pKa = 3.87 > 3.2, [HA-] H" c(HA-) Ka2 c = 10-10.25 0.050 = 10-11.55 > 20Kw c/Ka1 = 0.050/10-6.38 = 105.08 >> 20 EeS(ug{_: [H+] = = 10-8.32 molL-1 pH = 8.32 %$$,,, $$,,,$      0 $$$  0$$,,$,$$, $,$$,$$$,,, $,$,$%$,$,$,$ $$6$}U >O4 {0.033molL-1 Na2HPO4nmvpH. &# "*"*"*"#"#6 pKa1 ~ pKa3: 2.16, 7.21, 12.32 : Ka3 c = 10-12.32 0.033 = 10-13.80 H" Kw c/Ka2 = 0.033/10-7.21 = 105.73 >> 20 Ee: $. . &.&.                         $.$ ((((((((((,&,00F+,  ˆ}v(W,g~gUSMO  (lWx $   (lWx    ˆ}v(vI{5up(pI)  $ x4. 1_x(A-)+1_x(HB) nmvpH(Ka(HA) >Ka(HB)) 6="#"&/"#"&"fffffff >) (P[agN: [H+] + [HA] = [B-] + [OH-] |nxh_: я> [OH-] - [H+] cb >> [H+] - [OH-] R_g{_ {Z)PZ Z'  $(0 ''      +        $& 40  O7 {N NnmvpH (a) 0.040 molL-1 HAc  0.060 molL-1 NaAc (a) HQ cg{_: 5" ca>>[H+], cb>>[H+] 4" ~gTt , pH = 4.94V~%$'!            (b) 0.080molL-1N/lYNx  0.12molL-1N/lYNx (b) HQ(ug{_ PZ  % >   O8 (W20.00mL 0.1000molL-1 HA(Ka=10-7.00) nm-N, ReQ0.1000molL-1 NaOHnm 19.96mL, {pH. m' & '                 t0   : ca = 10-4.00 molL-1 cb = 10-1.30molL-1 HQ cg{_, [OH-] = 10-4.30 molL-1 ^(uя 4.4 xxQnm8 $%       :_x: bH+= 2.3[H+]=2.3c(HCl) ( pH<3) :_x: bOH - = 2.3[OH-]=2.3c(NaOH) (pH>11) HA  A- : bHA  A- = 2.3c x1x0 pn$$$O$O$( M $  $"J    b   4.4.2 Qnmv b"b$1. g'YvQR: c 'Y(0.01^1molL-1); pHH"pKa, sSca : cbH"1 : 1I     ` "4.4.3 QnmvM6Rel &&$ 1. ckOReQHATA (NaAc+HAc, NH4Cl+NH3); 2. nm-N[H+]'Y, RǏϑA-, nm-N[OH-]'Y, RǏϑHA; 3. nm-N gHA,SRNaOH-NTNR, nm-N gA-,SRHCl-NTNR.dx0 x      *   M6RQnmvϑel 4 $$ Q[ϑl: (_eQxxGW(u) 1.9hnc_eQvx(x)ϑBl 2.9hnc@bpHBl;`Sm^c  =2.3c x0 x1 3. cx0Nx1vk  3.5 xxc:yBR  >2uWYj Methyl Orange (MO) pKa=3.4  $$$$$$$$$$ 2uWYjv x - pH VN"   "      <2uW~ Methyl Red (MR) pKa=5.0$$  $  BZ^ Phenolphthalein (PP) pKa=9.1"$33 $  mTc:yBR 2uW~+n2uZ~6$$$33$  5.0------5.1-------5.2 f~ pp ~ (uNNa2CO3h[HClec:y~p 1uNrNeOSrSz, SrOe.u333  33 d# "4.6 xxn[f~Tc:yBRv b6"(#("(  \0.1000molL-1 NaOHn[ 20.00mL 0.1000molL-1 HClJ/   6   $4.6.2 :_xn[NCQ1_xHA $"  0.10molL-1 NaOHn[0.10molL-1 HAcbHA (20.00mL , Ka(HAc) = 10-4.76, Ka(HA) = 10-7.00)8U@ K  K        P  ! " # $ % 2NCQ1_x(x)SvQN:_x(x)mTirvn[f~;`~X"&"&"Z & 4.7 ~p] $  -' J4.7.1 Npel{~p] 1. :_xn[:_xvn[]Et`&02$$$$$4 ( Zero Level: NaOH, HCl, H2OH     , )   * 4 2. :_xn[1_x(HA)vn[]Et '(&(&'&'&..$'$6+  0' & O12 (u0.100 molL-1NaOHn[0.100 molL-1 HAc c:yBRPP. {Et=?IZ' &   ( j,   4.7.2 ~p]lQ_T~p]V SvQ^(u :_xn[NCQ1_x(HA)vEt tL P-$& & 3 3  3 & 4/-    .    /    0  ]lQ_v Np^(u &( B(1) {~p] (2) {zÍV (3) $Ren[SL'`""(61 (1) {~p] '$Kt = Ka/Kw = 10-4.76+14.0 = 109.24 R lg(csp Kt )= 7.9 $pH = 0.3, gV Et = 0.02% e   .     c  c    Z  2 *(2) {zÍV pHsp $pH`$&$&$$$$$   $$ Et = 0.1% lg(cspKt) = -1.3 + 9.24 = 7.9 gV $pH = 1.0 5" pHsp= 8.7 \ zÍVpH 7.7 9.7x} $ $$r 3 (3) $Rexxn[vSL'`&$  4 ]lQ_-NcspKtv+TIN:' & . & & . ' & & 5   6 YCQxRekn[vagN: $$ n[vxY:_, cKa1e"10-8 $lgKaY'Y, $pH=0.3, AQEt=0.5%, R $lgKae"5 "   " 0 "  $$&$$$$$  $  $  $  $   $  $   $  $  $  $  $  $  $  $  $d 7 8 &NaOHn[H3PO4 ec:yBRv b|& . & . & . . pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43- pHsp1= 4.7 pHsp2= 9.7w 23`A# "&&.. &&.. &&..&""*"*"*"**$*"***$"***$9 &HCln[Na3PO4 ec:yBRv b|& . & . & . , pKa1(2.16) pKa2(7.21) pKa3(12.32) H3PO4 H2PO4- HPO42- PO43- pKb3(11.84) pKb2(6.79) pKb1(1.68) pHsp1= 4.7 pHsp2= 9.7 2 "&&..&&.. &&..&""*"*"*"**$*"***$"***$ "&&..&&..&&..&": :HCl n[0.10molL-1 Na2CO3  $ ;  c:yBRv b, Na2CO3 (H2CO3:pKa1=6.38, pKa2=10.25) pKb1=3.75 pKb2=7.62 CO32- HCO3- H2CO3Z  $  M* M*  <  8cH"0.1molL-1 zRzÍ\, SmRjm9!b   ,= 0xhQnm: HCl (HNO3, H2SO4)d( (( (( ((,xM6R:(u^.UHCl(12 molL-1),HNO3(16 molL-1), H2SO4(18 molL-1)zʑ.=    >3> xhQnm: NaOH ($vM6R: NqTvNaOH(~19 molL-1), (udSCO2 vSyP[4lzʑ. <Z     l ?  CO2[xxn[vq_T>$$ &$ lNaOHՋBR-Nb4l-N+TCO2 g:gxh[:(PP) CO32- HCO3- " x$ " x $$ . ., @   A 3. 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