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5¡¢Ñõ»¯»¹Ô­µÎ¶¨·¨ÊDZ¾¿Î³ÌµÄÖصãÄÚÈÝ£¬½ÌʦӦ¼ÓÇ¿¶Ô±¾ÕÂÄÚÈݵĸ¨µ¼ºÍѵÁ·¡£ÖصãÊÇ£ºÌõ¼þµçλ¡¢Æ½ºâ³£ÊýK¡¢µÎ¶¨·´Ó¦ÍêÈ«Ó¦Âú×ãµÄÌõ¼þ¡¢µÎ¶¨¹ý³ÌÖÐE¡¢ESP¼°µÎ¶¨Í»Ô¾·¶Î§µÄ¼ÆËã¡¢×Ô¶¯´ß»¯·´Ó¦¡¢Ñõ»¯»¹Ô­µÎ¶¨Ç°µÄÔ¤´¦Àí¼°¸ßÃÌËá¼Ø·¨¡¢ÖظõËá¼Ø·¨¡¢µâÁ¿·¨µÈ³£ÓÃÑõ»¯»¹Ô­µÎ¶¨·¨µÄÔ­ÀíºÍÓ¦Óá¢Ñõ»¯»¹Ô­µÎ¶¨µÄ¼ÆËã¡¢·ÖÎö·½°¸µÄÉè¼Æ¡£

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Àý1£º¼ÆËãÏÂÁз´Ó¦µÄÌõ¼þƽºâ³£Êý(ÔÚ 1 mol/L HCl½éÖÊÖÐ): 2Fe3++ 3I-= 2Fe2++ I3-

ÒÑÖª??? (Fe3+/Fe2+)= 0.68 V, ??? (I3-/I-)= 0.545 V µ± 25 mL 0.050 mol/L Fe3+Óë 25 mL 0.15 mol/L I-»ìºÏºó,

-

ÈÜÒºÖвÐÁôµÄ Fe3+ »¹ÓаٷÖÖ®¼¸? ÈçºÎ²ÅÄÜʹ Fe3+ ¶¨Á¿»¹Ô­? ½â£º¢Ù ·´Ó¦µÄ lgK'Ϊ: (0.68-0.545)¡Á2

lgK'= ©¤©¤©¤©¤©¤©¤©¤©¤ = 4.58 K'=104.58 0.059

¢Ú Òò I-¹ýÁ¿, Éèƽºâʱ Fe3+»ù±¾ÉÏת±äΪ Fe2+

c(Fe2+)= 0.050 /2= 0.025 (mol/L) c(I3-)=c(Fe3+)/2=0.025/2 = 0.0125 (mol/L) Ê£ÓàµÄ c(I-)=0.15/2 - 3¡Á0.025/2 = 0.0375 (mol/L) 0.059 c(I3-) ƽºâʱ ?(I3-/I-) =??? (I3-/I-) + ©¤©¤©¤ lg ©¤©¤©¤©¤ 2 [c(I-)]3 0.059 0.0125

=0.545+ ©¤©¤©¤ lg ©¤©¤©¤©¤ = 0.615 (V) 2 (0.0375)3 c(Fe3+)

? (Fe3+/Fe2+) =??? (Fe3+/Fe2+)+ 0.059 lg©¤©¤©¤©¤ = 0.615 (V)

c(Fe2+) c(Fe3+)

lg ©¤©¤©¤©¤©¤ = (0.615 - 0.68)/0.059 = -1.10 ¼´c(Fe3+)/c(Fe2+)= 0.079 c(Fe2+)

45

c(Fe3+) 0.079

²ÐÁô w(Fe3+)= ©¤©¤©¤©¤©¤©¤©¤©¤ ¡Á100% = ©¤©¤©¤©¤ ¡Á100%= 7.3% c(Fe3+)+c(Fe2+) 1+0.079 Ϊ¶¨Á¿µØ²â¶¨ Fe3+. Ðë¼Ó´ó I-µÄŨ¶È, ÒÔ½µµÍ ?(I3-/I-)

Àý2£ºÓÃKMnO4·¨Í¨¹ýCaC2O4ÐÎʽ¼ä½Ó²â¶¨Ê¯»ÒʯÖÐCaOµÄÖÊÁ¿·ÖÊý, ½ñÓÐ0.02010 mol/L KMnO4 ±ê

×¼ÈÜÒº,ʯ»Òʯ´óÖº¬Á¿Ô¼50%, (1) ΪʹKMnO4ÈÜÒºÏûºÄÔ¼25mL,ÎÊÓ¦³ÆÈ¡ÊÔÑù¶àÉÙ¿Ë? (2) Èô¾­³£Ê¹Óô˷¨²âCaOµÄÖÊÁ¿·ÖÊý, Ϊ±ãÓÚ¼ÆËã, Ö±½Ó´ÓËùÏûºÄKMnO4ºÁÉýÊý¶Á³öCaOµÄÖÊÁ¿·ÖÊý, ÎÊÓ¦³ÆÈ¡ÊÔÑù¶àÉÙ¿Ë? [Mr(CaO)=56.08]

½â£º (1) m = 0.020¡Á25¡Á5/2¡Á56/50% = 0.14g, ³ÆÈ¡Ô¼0.14 (g)

(2) m = [(0.02010¡Áx¡Á5/2¡Á56.08¡Á100%)]/(x%¡Á1000)= 0.2818 (g), ׼ȷ³ÆÈ¡0.2818g(×¢ÒâÓÐЧÊý×Ö)

Àý3£º³ÆÈ¡KIÊÔÑù0.6125g,Èܽâ,Ëữºó¼ÓÈë¹ýÁ¿0.05000mol/L KIO320.00mL,Öó·Ð³ýÈ¥I2ºóÀäÈ´,¼ÓÈë¹ýÁ¿

KI,ÓÃ0.1023mol/L Na2S2O3µÎ¶¨Éú³ÉµÄI2¼ÆºÄÈ¥25.34mL¡£

(1) ¼ÆËãÊÔÑùÖÐKIµÄÖÊÁ¿·ÖÊý(2) ÈôÊÔÑùÉú³ÉµÄI2Öó·ÐʱÓÃKIÒºÎüÊÕ,ÔòÎüÊÕÒºÐèºÄ´ËNa2S2O3±ê×¼ÈÜÒº

¶àÉÙºÁÉý?(Mr(KI)=166.0)

½â£º(1) w(KI) = [(0.05000¡Á20.00-0.1023¡Á25.34/6)¡Á5¡Á166.0/(0.6125¡Á1000)]¡Á100%= 76.96%

(2) V(Na2S2O3) = (0.05000¡Á20.00 ? 0.1023¡Á25.34/6)¡Á6/0.1023= 33.31(mL)

Àý4£ºÒÆÈ¡20.00 mL HCOOHºÍHAcµÄ»ìºÏÒº,ÒÔ·Ó̪Ϊָʾ¼Á,ÓÃ0.1000 mol/L NaOHÈÜÒºµÎ¶¨ÖÁÖÕµãʱ,

ÏûºÄNaOHÈÜÒº25.00 mL¡£ÁíÒÆÈ¡20.00 mLÉÏÊö»ìºÏÈÜÒº,׼ȷ¼ÓÈë0.02500 mol/L KMnO4µÄ¼îÐÔÈÜÒº75.00 mL, »ìºÏºó,ÔÚÊÒηÅÖÃ30min, ʹMnO4-Ñõ»¯HCOOH·´Ó¦¶¨Á¿Íê³É(HAc²»±»MnO4-Ñõ»¯)¡£ËæºóÓÃH2SO4½«ÈÜÒºµ÷½ÚÖÁËáÐÔ,×îºóÒÔ0.2000 mol/L Fe2+ÈÜÒºµÎ¶¨ÖÁÖÕµã,ÏûºÄFe2+ 40.63 mL¡£¼ÆËãÊÔÒºÖÐHCOOHºÍHAcµÄŨ¶È¸÷Ϊ¶àÉÙ?

½â£ºÔÚ¼îÐÔÖÐ, MnO4-Ñõ»¯HCOOH²úÎïÊÇMnO42-ºÍCO32-,Ëữʱ, MnO42-Æ绯³É MnO4-ºÍMnO2 ×ܵĽá¹ûÊÇ MnO4-¡úMn2+ HCOOH¡úCO2

¼ÆÁ¿¹Øϵ n(MnO4-):n(HCOOH) = 1:5 n(MnO4-):n(Fe2+) = 1:5 n(HCOOH) = (0.02500¡Á75-1/5¡Á0.2000¡Á40.63)¡Á5/2 = 0.6245 (mmol) ËùÒÔc(HCOOH) = 0.6245/20.00 = 0.03123 (mol/L)

¶øHAcµÄÁ¿Îª: 0.1000¡Á25.00-0.6245 = 1.876 (mmol) c(HAc) = 1.876/20.00 = 0.0938 (mol/L)

Àý5£ºº¬MnOºÍCr2O3µÄ¿óÑù2.000 g,ÓÃNa2O2ÈÛÈÚºó,ÓÃË®½þ³ö,µÃµ½ Na2CrO4ºÍNa2MnO4ÈÜÒº¡£Öó·Ð³ý

È¥¹ýÑõ»¯Îï,Ëữ,´ËʱMnO42-Æ绯Ϊ MnO4-ºÍMnO2¡£½«MnO2³Áµí¹ýÂË¡¢Ï´µÓ¡£ÂËÒºÖмÓÈë50.00 mL 0.1000mol/L Fe2+ÈÜÒº,¹ýÁ¿µÄFe2+ ÓÃ0.01000 mol/L KMnO4µÎ¶¨ÖÁÖÕµãʱ,ÏûºÄ18.40 mL¡£Ï´µÓºóµÄMnO2³Áµí, ÓÃ10.00 mLµÄ0.1000 mol/L Fe2+ÈÜÒº´¦Àí,¹ýÁ¿µÄFe2+ÓÃ0.01000 mol/L KMnO4ÈÜÒºµÎ¶¨ÖÁÖÕµãʱÓÃÈ¥8.24 mL¡£¼ÆËã¿óÑùÖÐMnOºÍCr2O3µÄÖÊÁ¿·ÖÊý¡£ [Mr(MnO)=70.94 , Mr(Cr2O3)=152.0] ½â£ºÓйط´Ó¦ºÍµÎ¶¨·´Ó¦: MnO+2Na2O2+H2O = MnO42-+2OH-+4Na+

3MnO42-+4H+ = 2MnO4-+MnO2¡ý+2H2O MnO2+2Fe2++4H+ = 2Fe3++Mn2++2H2O MnO4-+5Fe2++8H+ = Mn2++5Fe3++4H2O Cr2O72-+6Fe2++14H+ = 2Cr3++6Fe3++7H2O ¼´ 3MnO?3MnO42-?1MnO2?2Fe2+, 1 MnO4-?5Fe2+

(3/2)¡Á(0.1000¡Á10.00-5¡Á0.01000¡Á8.24)¡Á70.94

w(MnO)= ©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤¡Á100% = 3.13% 2.000¡Á1000

ÒòΪ 1 Cr2O3?2 CrO42-?1 Cr2O72-?6 Fe2+ 1 MnO2?2 MnO4-

1/6(0.1000¡Á50.00-5¡Á0.01000¡Á18.40-5¡Á0.5880)¡Á152.0

w(Cr2O3) = ©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤¡Á100%= 1.44%

46

2.000¡Á1000

Àý6£ºÎª²â¶¨ SrCrO4µÄÈܶȻý, ½«ÐÂÖƵõĴ¿ SrCrO4³ÁµíÓëÕôÁóË®¹²Õñµ´, ´ïƽºâºó, ÓøÉÂËÖ½¹ýÂË, ÒÆ

È¡ÂËÒº 25.00 mL, Ëữ, ¼ÓÈë¹ýÁ¿ KI, Îö³öµÄ I2 ºÄÈ¥ 0.05002 mol/L Na2S2O3 7.04 mL, ¼ÆËã SrCrO4µÄ Ksp¡£ ½â£º

0.05002¡Á7.04

[CrO42-]= ©¤©¤©¤©¤©¤©¤©¤ = 0.0047 (mol/L) Ksp=[CrO42-]2=(0.0047)2= 2.2¡Á10-5 3¡Á25.00

Àý7£ºÓÃÖظõËá¼Ø·¨²â¶¨Ìú, ³ÆÈ¡¿óÑù 0.2500 g, µÎ¶¨Ê±ÏûºÄ K2Cr2O7±ê×¼ÈÜÒº23.68 mL, ´ËK2Cr2O7±ê

×¼ÈÜÒº 25.00 mL ÔÚËáÐÔ½éÖÊÖÐÓë¹ýÁ¿µÄ KI ×÷Óúó, Îö³öµÄ I2ÐèÓà 20.00 mL µÄ Na2S2O3ÈÜÒºµÎ¶¨, ¶ø´Ë Na2S2O3 1.00 mL Ï൱ÓÚ 0.01587 g I2¡£Çë¼ÆËã¿óÑùÖÐ Fe2O3µÄÖÊÁ¿·ÖÊý¡£[Mr(Fe2O3)= 159.7, Mr(I2)= 253.8] ½â£º

c(K2Cr2O7)= ©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤ = 0.01667 (mol/L) 253.8¡Á25.00¡Á3

0.01667¡Á23.68¡Á159.7¡Á3

w(Fe2O3)= ©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤ ¡Á100% = 75.65%

Àý8£º³ÆÈ¡º¬Óб½·ÓµÄÊÔÑù 0.5000 g, Èܽâºó¼ÓÈë 0.1000 mol/L KBrO3 ÈÜÒº(ÆäÖк¬ÓйýÁ¿µÄ KBr) 25.00

mL, ²¢¼Ó HCl Ëữ, ·ÅÖᣴý·´Ó¦ÍêÈ«ºó , ¼ÓÈë¹ýÁ¿µÄ KI, µÎ¶¨Îö³öµÄ I2 ÏûºÄ 0.1003 mol/L Na2S2O3 ÈÜÒº 29.91 mL¡£¼ÆËãÊÔÑùÖб½·ÓµÄÖÊÁ¿·ÖÊý¡£[Mr(C6H5OH)=94.11] ·´Ó¦Ê½Îª C6H5OH + 3Br2 = C6H2Br3OH + 3HBr

½â£º1mol C6H5OH ? 3mol Br2 ? 1mol KBrO3 ? 3mol I2 ? 6mol S2O32-

1

(0.1000¡Á25.00-©¤©¤¡Á0.1003¡Á29.91)¡Á94.11 6

w(C6H5OH)= ©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤©¤¡Á100% = 37.64%

Àý9£º0.1500 gÌú¿óÊÔÑùÖеÄÌú±»»¹Ô­ºó£¬Ðè0.02000 mol / L KMnO4ÈÜÒº15.03 mLÓëÖ®·´Ó¦£¬Ìú¿óÖÐÒÔ

Fe£¬FeO£¬Fe2O3±íʾµÄÖÊÁ¿·ÖÊý¸÷Ϊ¶àÉÙ£¿[ Ar(Fe) = 55.85 , Mr(FeO) = 71.85 , Mr(Fe2O3) = 159.69 ] ½â£º

0.02000?5?15.03?55.85?100%?55.96%0.1500?1030.02000?5?15.03?71.85 w?FeO???100%?71.99%0.1500?103159.690.02000?5?15.03?2?100%?80.00%w?Fe2O3??30.1500?10w?Fe??Àý10£ºÔÚ 1 mol / L HClÈÜÒºÖУ¬??? (Cr2O72-/Cr3+) = 1.00 V¡£¼ÆËãÓùÌÌåÑÇÌúÑν«0.100 mol / L K2Cr2O7

ÈÜÒº»¹Ô­ÖÁÒ»°ëʱµÄµçλ¡£

½â£ºCr2O72- + 14H+ + 6e = 2Cr3+ + 7H2O

0.100 mol / L K2Cr2O7»¹Ô­ÖÁÒ»°ëʱ£¬c(Cr2O72-) = 0.0500 mol / L c(Cr3+) = 0.100 mol / L

? =??? (Cr2O72-/Cr3+) + 0.059/6 lg ( c(Cr2O72-) / c2(Cr3+) )= 1.00 + 0.059/6 lg (0.0500/0.1002 ) = 1.01 (V)

47