第六章络合滴定法4、解:当pH=9.0时,[OH-]=1.010-5mol∙L−1,[NH3]=1.010-2mol∙L−1αM(NH3)=1+b1[NH3]+b2[NH3]2+b3[NH3]3+b4[NH3]4=1+102.0×10−2.0+105.0×10−2.0×2+107.0×10−2.0×3+1010.0×10−2.0×4=1+1+10+10+102.0=122αM(OH)=1+b1[OH-]+b2[OH-]2+b3[OH-]3+b4[OH-]4=1+104.0×10−5.0+108.0×10−5.0×2+1014.0×10−5.0×3+1015.0×10−5.0×4=1+10−1.0+10−2.0+10−1.0+10−5.0=1.21由此可知,b4[NH3]4项数值最大,所以M(NH3)42+为主要存在形式αM=αM(NH3)+αM(OH)-1=122[M(NH3)42+]=cMδM¿¿当pH=13.0,[OH-]=1.010-1.0mol∙L−1,[NH3]=1.010-2mol∙L−1αM(NH3)=1+b1[NH3]+b2[NH3]2+b3[NH3]3+b4[NH3]4=122αM(OH)=1+b1[OH-]+b2[OH-]2+b3[OH-]3+b4[OH-]4=1+104.0×10−1.0+108.0×10−1.0×2+1014.0×10−1.0×3+1015.0×10−1.0×4=1+103.0+106.0+1011.0+1011.0=2.0×1011由此可知,3[OH-]3和4[OH-]4这两项数值最大,所以[M(OH)3-]和[M(OH)42-]为主要存在形式αM=αM(NH3)+αM(OH)-1=2.0×1011[M(OH)3-]=cMδM¿¿[M(OH)42-]=cMδM¿¿5、解:用en代表乙二胺,由题意知:[en]=0.010mol∙L−1,cAg+=[Ag+]+[Ag(en)+]+[Ag(en)2+]=0.10molL-1δAg(en)+¿=❑1[en]1+❑1[en]+β2[en]2=104.7×10−2.01+104.7×10−2.0+107.7×10−2.0×2=0.0909¿δAg¿¿cen=[en]+¿=(0.010+0.0909×0.10+2×0.909×0.10)mol∙L−1=0.20mol∙L−16、解:(1)由题意可知,Cd2+除了与Y的反应作为主反应之外,还存在与酒石酸的络合效应,Y有酸效应和由Zn2+产生的共存离子效应,而Zn2+又存在与酒石酸的络合效应。pH=6.0时,lgαY(H)=4.65,加入等体积的EDTA之后有[Tart]=0.10mol∙L−1则有aCd(Tart)=1+b1[Tart]=1+102.8x0.10=64.1=101.81❑Y(Zn)=1+KZnY¿¿1+1016.5×0.0101+102.4×0.10+108.32×0.102=108.18αY=αY(H)+αY(Zn)−1=104.65+108.18−1=108.18lgKCdY'=lgKCdY−lgαCd−lgαY=16.46−1.81−8.18=6.47同理,可得:aZn(Tart)=1+b1[Tart]+b2[Tart]2=106.32❑Y(Cd)=1+KCdY¿αY=αY(H)+αY(Cd)−1=104.65+1012.65−1=1012.65lgKZnY'=lgKZnY−lgαZn−lgαY=16.50−6.32−12.65=−2.478、解:查附录表8,碘离子可与镉离子络合。Zn+Y=ZnY由题意可知,Y有酸效应和Cd2+¿¿产生的共存离子效应,且¿αY(Cd)=1+KCdY¿¿1+KCdYcCd2+¿1+β1¿¿¿¿1+1016.46×0.005001+102.10+103.43+104.49+105.41=108.70当pH=5.0时,lgαY(H)=6.45αY=αY(H)+αY(Cd)−1=108.70lgKZnY'=lgKZnY−lgαY=16.50−8.70=7.80pZnsp'=12(lgKZnY'+pcZnsp)=12×(7.80+2.30)=5.05以二甲酚橙作指示剂时,pZn’ep=4.80,(附录表14)则有∆pZn'=4.80−5.05=−0.25Et=10−0.25−100.25√0.00500×107.80×100%=−0.22%12、解:a、pH=5.0时,lgαY(H)=6.45¿αPb(Ac)=1+β1¿lgKPbY'=lgKPbY−lgαPb−lgαY=18.04−6.45−2.43=9.16pPbsp=12(lgKPbY'+pcPbsp)=6.08Pbep'=lgKPbIn=7.0−lgαPb=7.0−2.43=4.57∆pPb❑=4.57−6.08=−1.51Et=10∆pPb❑−10−∆pPb❑√cPbepKPbY'×100%=10−1.51−101.51√0.0010×109.16×100%=−2.7%b、lgKPbY'=lgKPbY−lgαY=18.04−6.45=11.59pPbsp=12(lgKPbY'+pcPbsp)=7.30Pbep'=lgKPbIn=7.0∆pPb=7.0−7.3=−0.3Et=10∆pPb−10−∆pPb√cPbepKPbY'×100%=10−0.3−100.3√0.0010×1011.59×100%=−0.008%13、解:由题意可知,aCu(NH3)=1+b1[NH3]+b2[NH3]2+b3[NH3]3+b4[NH3]4=109.36pH=10时,αCu(OH)=1.70lgαY(H)=0.45αCu=αCu(OH)+αCu(NH3)−1=1.70+109.36−1=109.36lgKCuY'=lgKCuY−lgαCu−lgαY(H)=18.80−9.36−0.45=8.99pCuep'=pCuep−lgαCu(NH3)=13.8−9.36=4.44pCusp'=12(lgKCuY'+pcCusp)=12×(8.99+2.00)=5.50∆pCu❑=4.44−5.50=−1.06Et=10∆pCu❑−10−∆pCu❑√cCuepKCuY'×100%=10−1.06−101.06√0.010×108.99×100%=−0.36%14、解:a.在只含La3+溶液中,当∆pLa'=0.2,Et≤0.3%,则有lg(K¿¿LaYcLasp)≥5¿.0lgKLaY≥7.0lgαY(H)=15.5-7.0=8.5pH=4.0最低酸度为La3+水解产生沉淀时的pH值,则¿pH=8.4因此,滴定La3+的酸度范围为pH=4.0~8.4。在两...