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Fundamentals of Analytical Chemistry: 8Fundamentals of Analytical Chemistry: 8 thth ed.ed. ChapterChapter 44 Chapter 4Chapter 4 4-14-1 (a)(a) TheThe millimolemillimole is an amount of a chemical species, such as an atom, an ion, a moleculeis an amount of a chemical species, such as an atom, an ion, a molecule oror anan electron.electron. AA millimolmillimolee containscontains millimolemillimole particlesparticles 66 .. 0202 1010 millimolemillimole molemole 1010 molemole particlesparticles 66 .. 0202 1010 2323 33 2020 ×× ∗∗ == ×× −− (b)(b) TheThe molar massmolar mass is the mass in grams of one mole of a chemical species.is the mass in grams of one mole of a chemical species. (c)(c) TheThe millimolar massmillimolar mass is the mass in grams of one millimole of a chemical species.is the mass in grams of one millimole of a chemical species. (d)(d) Parts per million, cParts per million, cppmppm, is a term expressing the concentration of very dilute solutions., is a term expressing the concentration of very dilute solutions. Thus,Thus, ccppmppm 1010 ppmppm massmassofof solutionsolution massmass ofof solutesolute 66 == ×× The units of mass in the numerator and the denominator must be the same.The units of mass in the numerator and the denominator must be the same. 4-24-2 The species molarity of a solution expresses the equilibrium concentration of a chemicalThe species molarity of a solution expresses the equilibrium concentration of a chemical species in terms ofspecies in terms of moles per liter.moles per liter. The analytical molarity of aThe analytical molarity of a solution gives the totalsolution gives the total number of moles ofnumber of moles of a solute in onea solute in one liter.liter. The species molarity takes into accountThe species molarity takes into account chemical reactions that occurchemical reactions that occur in solution.in solution. The analytical molarity specifies howThe analytical molarity specifies how thethe solution was prepared, but does not account for any subsequent reactions.solution was prepared, but does not account for any subsequent reactions. 4-34- 33 33 33 33 1010 mm 100100 cmcm mm mLmL 11 cmcm 11 LL 10001000 mLmL 1L1L −− ==
== ×× ×× 33 33 33 33 1010 mm 11 molemole 1010 mm
11 molemole 11 MM == ×× −− == −−
Fundamentals of Analytical Chemistry: 8Fundamentals of Analytical Chemistry: 8 thth ed.ed. ChapterChapter 44 4-84-8 (a)(a) (^2255) 22 55 22 55 22 55 00 ..^4040 mmolmmolPPOO molmol 10001000 mmolmmol 141141 .. 9494 ggPP OO molmolPP OO 10001000 mgmg gg 5757 mgmgPP OO ×× ×× ×× == (b)(b) (^22) 22 22 22 293293 ..^66 mmolmmolCOCO molmol 10001000 mmol mmol 4444 .. 0101 gg COCO molmol COCO 1212 .. 9292 gg COCO ×× ×× == (c)(c) (^33) 33 33 33 476476 mmolmmolNaHCONaHCO molmol 10001000 mmolmmol 8484 .. 0101 gg NaHCONaHCO molmol NaHCONaHCO 4040 .. 00 gg NaHCONaHCO ×× ×× == (d)(d) 44 44 44 44 44 44 44 44 66 .. 22 mmolmmolMgNHMgNH POPO molmol 10001000 mmolmmol 137.32137.32ggMgNHMgNH POPO molmolMgNHMgNH POPO 10001000 mgmg gg 850850 mgmgMgNHMgNH POPO == ×× ×× ×× 4-94-9 (a)(a) 44 44 33 44 33 66 .. 5050 mmolmmolKMnO KMnO
molmol 10001000 mmolmmol LL 33 .. 2525 1010 molmol KMnOKMnO 33 .. 2525 1010 M KMnOM KMnO == ×× ×× ×× ×× ≡≡ −− −− (b)(b) 4141 .. 66 mmolmmol KSCNKSCN 750750 mLmL 10001000 mLmL
molmol 10001000 mmolmmol LL 00 .. 05550555 molmol KSCNKSCN 00 .. 05550555 M KSCNM KSCN == ≡≡ ×× ×× ×× (c)(c) 44 33 44 44 44 44 250250 mLmL 88 .. 4747 1010 mmolmmol CuSOCuSO 10001000 mLmL
molmol 10001000 mmolmmol 159159 .. 6161 gg CuSOCuSO molmol CuSOCuSO 10001000 mgmg gg LL 55 .. 4141 mgmg CuSOCuSO 55 .. 4141 ppmppm CuSOCuSO −− ×× ×× == ×× ≡≡ ×× ×× ×× (d)(d) 33 .. 5050 LL 11651165 .. 66 mmolmmolKClKCl molmol 10001000 mmolmmol LL 00 .. 333333 molmol KClKCl 00 .. 333333 M KClM KCl≡≡ ×× ×× ==
Fundamentals of Analytical Chemistry: 8Fundamentals of Analytical Chemistry: 8 thth ed.ed. ChapterChapter 44 4-104-10 (a)(a) 44 44 44 5656 .. 00 mmolmmolHClO HClO 175175 mLmL 10001000 mLmL
molmol 10001000 mmolmmol LL 00 .. 320320 molmol HClOHClO 00 .. 320320 MM HClOHClO == ≡≡ ×× ×× ×× (b)(b) 22 44 22 44 33 22 44 33 121121 mmolmmolKK CrOCrO
molmol 10001000 mmolmmol LL 88 .. 0505 1010 molmolKK CrOCrO 88 .. 0505 1010 MMKK CrOCrO == ×× ×× ×× ×× ≡≡ −− −− (c)(c) 33 33 33 33 33 55 .. 0000 LL 00 .. 199199 mmolmmol AgNOAgNO molmol 10001000 mmolmmol 169169 .. 8787 gg AgNOAgNO molmol AgNOAgNO 10001000 mgmg gg LL 66 .. 7575 mgmg AgNOAgNO 66 .. 7575 ppmppm AgNOAgNO == ≡≡ ×× ×× ×× ×× (d)(d) 1717 .. 00 mmolmmol KOHKOH 851851 mLmL 10001000 mLmL
molmol 10001000 mmolmmol LL 00 .. 02000200 molmol KOHKOH 00 .. 02000200 MM KOHKOH == ≡≡ ×× ×× ×× 4-114-11 (a)(a) (^33) 44 33 33 33 44 ..^90901010 mgmgHNOHNO gg 10001000 mgmg molmol HNOHNO 6363 .. 0101 gg HNOHNO 00 .. 777777 molmolHNO HNO ×× ×× == ×× (b)(b) 22 .. 015015 1010 mgmgMgOMgO gg 10001000 mgmg molmol MgOMgO 40.3040.30gg MgOMgO 10001000 mmolmmol molmol 500500 mmolmmol MgOMgO 44 ×× ×× ×× == ×× (c)(c) (^4433) 66 44 33 44 33 44 33 11 ..^80801010 mgmgNHNH NONO gg 10001000 mgmg molmolNHNH NONO 8080 .. 0404 ggNHNH NONO 2222 .. 55 molmolNHNH NONO ×× ×× == ×× (d)(d) 44 22 33 66 66 44 22 33 66 44 22 33 66 44 22 33 66 22 .. 3737 1010 mgmg((NHNH )) CeCe((NONO )) gg 10001000 mgmg molmol((NHNH )) CeCe((NONO )) 548548 .. 2323 gg((NHNH )) CeCe((NONO )) 44 .. 3232 molmol((NHNH )) CeCe((NONO )) == ×× ×× ××
Fundamentals of Analytical Chemistry: 8Fundamentals of Analytical Chemistry: 8 thth ed.ed. ChapterChapter 44 4-144-14 (a)(a) 22 22 22 22 22 22 22 22 22 22 22 .. 5151 ggHH OO 450450 mLmL molmolHH OO 34.0234.02ggHH OO 10001000 mLmL
0.1640.164molmolHH OO 00 .. 164164 MMHH OO == ≡≡ ×× ×× ×× (b)(b) 2727 .. 00 mLmL 22 .. 8888 1010 ggbenzoicbenzoic acidacid molmolbenzoicbenzoic acidacid 122122 ggbenzoicbenzoic acidacid 10001000 mLmL
88 .. 7575 1010 molmolbenzoicbenzoic acidacid 88 .. 7575 1010 MMbenzoicbenzoic acidacid 33 44 44 −− −− −− == ×× ×× ×× ×× ×× ×× ≡≡ (c)(c) (^22) 22 22 33 ..^5050 LL^00 ..^07600760 ggSnClSnCl 10001000 mgmg gg LL 2121 .. 77 mgmg SnClSnCl 2121 .. 77 ppmppm SnClSnCl ≡≡ ×× ×× == (d)(d) 33 33 33 33 33 00 .. 04530453 gg KBrOKBrO 2121 .. 77 mLmL molmol KBrOKBrO 167167 gg KBrOKBrO 10001000 mLmL
00 .. 01250125 molmol KBrOKBrO 00 .. 01250125 MM KBrOKBrO == ≡≡ ×× ×× ×× 4-154-15 (a)(a) 00 .. 923923 (( 22 )) 11 .. 077077 log(log( 88 .. 3838 )) log(log( 1010 )) pNapNa log(log( 00 .. 03350335 MM 00 .. 05030503 MM)) log(log( 00 .. 08380838 MM)) log(log( 88 .. 3838 1010 MM )) 22 22 ==−− −− −− == ==−− −− ==−− ++ ==−− ==−− × × −− −− 00 .. 525525 (( 22 )) 11 .. 475475 log(log( 33 .. 3535 )) log(log( 1010 )) pClpCl log(log( 00 .. 03350335 MM)) log(log( 33 .. 3535 1010 MM )) 22 22 ==−− −− −− == ==−− −− ==−− ==−− ×× −− −− 00 .. 702702 (( 22 )) 11 .. 298298 log(log( 55 .. 0303 )) log(log( 1010 )) pOHpOH log(log( 00 .. 05030503 MM)) log(log( 55 .. 0303 1010 MM )) 22 22 ==−− −− −− == ==−− −− ==−− ==−− ×× −− − −
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (b)
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (d) [ HO ] 2. 4 10 M 14 3
(h) [ H 3 O ]= 3. 3 M
4-17 (a)
M) = 7. (c)
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (d)
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4
× × × = 4. 6 × 10 MK
= ⋅ ⋅ ⋅ ⋅ × 2 2 2 2 2 2 0.^01037 MMg molKCl MgCl 6 H O mol Mg
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (e) − − − ≡ × × ×25.0mL = 0. 777 mmolCl mol 1000 mmol 1000 mL
0.0311mol Cl
= ≡ × × ⋅ ⋅ ⋅ ⋅ × 405 ppm K L 405 mg g 1000 mg mol K
− × × = 0. 0142 MK molK Fe(CN ) 3 mol K
− + + − + = × × × × × ≡
1.42 10 mol K
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 4-25 (a) 500 mLsoln 23. 8 gC H OH 100
mL soln
g soln
mL soln
mL soln
g soln
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (c) 3 8 3 3 8 3 3 8 3 2.^50 Lsoln^525 mLC HO L 1000 mL 100
mL soln
volume 86 %(w/w)H PO required 4. 50 molH PO
g reagent 86 gH PO 86 %(w/w)H PO 750 mL 4. 50 molH PO 1000 mL
volume 70. 5 %HNO required 2. 70 mol HNO
g reagent
mol
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4 (f) 2 4 2 4 2 4
Dissolve 1.67 g Na 2 SO 4 in enough water to give a final volume of 9.00 L. 4-30 (a) 4 4 4 4 39.^5 gKMnO mol
Fundamentals of Analytical Chemistry: 8 th ed. Chapter 4
mL soln
volume 50 %(w/w)NaOHrequired 0. 3225 mol NaOH
g reagent 50 g NaOH 50 %(w/w) NaOH
− + − +
Dissolve 42.4 mg K 4 Fe(CN) 6 in enough water to give a final volume of 1.50 L. 4- −^ − − − − +
≡ × × = × ≡ × × = × 3 3 2 3 2 3 3 3