࠙໬Ꮫ㸦ゎ⟅㸧ࠚ[I]
ၥ 1 㸦⟅㸧཮ᛶ㸦ࡲࡓࡣ୧ᛶ㸧ၥ 2 ࢢࣜࢩࣥࢼࢺ࣒ࣜ࢘Ỉ⁐ᾮ࡛ࡣ㸪ࢢࣜࢩࣥ㝜࢖࢜ࣥ gly ࡀ୍㒊ຍỈศゎࡋ࡚ᙅሷᇶᛶࢆ♧ࡍࠋgly + H2 O À gly± + OH(6)ࡇࡇ࡛㸪Ka2 ࠾ࡼࡧ Kw ࡣ

Ka2 =[gly ][H+ ],[gly± ]

Kw = [H+ ][OH ](7)࡛࠶ࡿ࠿ࡽ㸪 gly ࡢሷᇶ㟁㞳ᐃᩘ㸦ࡲࡓࡣຍỈศゎᐃᩘ㸧ࢆ Kb ࡜ࡍࡿ࡜㸪(6) ᘧ࡜ (7) ᘧࡼࡾKb =Kw[gly± ][OH ]=Ka2[gly ]

(8)࡜⾲ࡏࡿࠋࢢࣜࢩࣥ㝧࢖࢜ࣥ gly+ ࠾ࡼࡧỈࡢ㟁㞳࡟ࡼࡿ OH ࡣ↓ど࡛ࡁࡿࡢ࡛㸪[gly± ] = [OH ] ࡜ぢ࡞ࡏࡿࠋࡲࡓ㸪C = 0.10 mol/L ࡜ࡍࡿ࡜ࡁ㸪[OH ] ¿ C ࡞ࡽࡤ C ; [gly ] + [gly± ] + [gly+ ] ; [gly ] ࡜㏆ఝ࡛ࡁࡿࠋ
ࡼࡗ࡚㸪(7) ᘧ࡜ (8) ᘧࡼࡾ㸪pH ࡣḟࡢࡼ࠺࡟ィ⟬࡛ࡁࡿࠋKw[OH]2=Ka2Cr
CKw[OH ] =Ka2Kw[H ] ==[OH ]+! pH = 12  log10r

Kw Ka2=Cs

1.00 × 1014 (mol/L)2 × 2.5 × 1010 mol/L= 5.0 × 1012 mol/L
0.10 mol/L

10= 11 + log10 2 = 11.3
2··㸦
· ⟅㸧

ၥ 3 ࢢࣜࢩࣥ㝜࢖࢜ࣥ gly ୰ࡢ N ࡜ O ࡟㠀ඹ᭷㟁Ꮚᑐࡀ࠶ࡿࡢ࡛㸪ࡇࡇ࡛ Cu2+ ࡟㓄఩⤖ྜࡍࡿࡇ࡜ࡀ࡛ࡁࡿࠋ㸦⟅㸧࣭࢚࢘㸸N࣭O㸦㡰୙ྠ㸧
ၥ 4 ࢢࣜࢩࢼࢺ㘒యࡀ⏕ᡂࡍࡿ཯ᛂ࡟㛵ࡍࡿ㉁㔞స⏝ࡢἲ๎ࡣ㸪(3) ᘧ࡜ (4) ᘧࡼࡾ[Cu(gly)+ ]= 1.0 × 108 (mol/L)1[Cu2+ ][gly ][Cu(gly)2 ]= 1.0 × 107 (mol/L)1K2 =[Cu(gly)+ ][gly ][Cu(gly)2 ]! K1 K 2 == 1.0 × 1015 (mol/L)2[Cu2+ ][gly ]2K1 =࡜࡞ࡿࠋ(5) ᘧ࡟ (9) ᘧ࡜ (10) ᘧ㸪࠾ࡼࡧ [gly ] =Cg

CCu = [Cu2+ ] + K1 [Cu2+ ][gly ] + K1 K2 [Cu2+ ][gly ]2¢¡= [Cu2+ ] 1 + K1 [gly ] + K1 K2 [gly ]2(¶2 )µCg
Cg
2+= [Cu ] 1 + K1+ K1 K 2㸦⟅㸧1 + K1

Cg+ K1 K 2µCg

¶2(9)(10)ࢆ㐺⏝ࡋ࡚ḟࡢࡼ࠺࡟ኚᙧ࡛ࡁࡿࠋ(11)ၥ 5 pKa1 =  log10 Ka1 =  log10 (4.0 × 103 ) = 3  2 log10 2 = 2.40㸪ࡍ࡞ࢃࡕ Ka1 = 102.40 mol/L ࡛࠶ࡿࡀ㸪࠸ࡲ [H+ ] = 102.40 mol/L = 4.0 × 103 mol/L ࡞ࡢ࡛㸪[gly± ][H+ ][gly+ ]+! [gly ] = [gly± ]Ka1 =࡜࡞ࡗ࡚࠸ࡿࠋవ๫ࡢࢢࣜࢩࣥࡢ඲⃰ᗘ Cg ࡢᘧࡼࡾ㸪Cg ; [gly+ ] + [gly± ] (& [gly+ ] = [gly± ] À [gly ])Cg0.32 mol/L! [gly+ ] = [gly± ] === 0.16 mol/L22
࡜࡞ࡿࠋ[gly ] ࡣ (7) ᘧࡼࡾồࡵࡽࢀࡿࠋ

[gly ] =Ka2 [gly± ]2.5 × 1010 mol/L × 0.16 mol/L== 1.0 × 108 mol/L[H+ ]4.0 × 103 mol/L(12)ࡺ࠼࡟㸪(11) ᘧ࡟ (9)㸪(10)㸪(12) ᘧࢆ㐺⏝ࡋ࡚n¡¢2 oCCu = [Cu2+ ] 1 + 1.0 × 108 (mol/L)1 × 1.0 × 108 mol/L + 1.0 × 1015 (mol/L)2 × 1.0 × 108 mol/L= [Cu2+ ] (1 + 1.0 + 0.10)= [Cu2+ ] × 2.1
1[Cu2+ ]=!
CCu2.1(13)(14)࡜࡞ࡿࠋ௨ୖࡼࡾ㸪ࢢࣜࢩࢼࢺ㘒యࢆᙧᡂࡋ࡚࠸ࡿ Cu2+ ࡣ㸪(14) ᘧࡀࢢࣜࢩࢼࢺ㘒యࢆᙧᡂࡋ࡚࠸࡞࠸ Cu2+ࡢ๭ྜ࡛࠶ࡿࡇ࡜࡟␃ពࡋ࡚ḟࡢࡼ࠺࡟ồࡲࡿࠋ[Cu(gly)+ ] + [Cu(gly)2 ][Cu2+ ]
1
1.1=1
=1
== 52 %
CCuCCu2.1
2.1··㸦· ⟅㸧ၥ 6࣭ၥ 7 CCu = 0.10 mol/L ࡞ࡢ࡛ (14) ᘧࡼࡾ[Cu2+ ] =CCu0.10 mol/L
1==mol/L
2.1
2.1
21(15)

࡛࠶ࡿࠋpH = 2.40 ࡢ࡜ࡁ㸪(13) ᘧ࡜ (15) ᘧࡼࡾ[Cu2+ ] : [Cu(gly)+ ] : [Cu(gly)2 ] = 1 : 1.0 : 0.10
1mol/L
211mol/L! [Cu(gly)2 ] = 0.10[Cu2+ ] =210! [Cu(gly)+ ] = 1.0[Cu2+ ] =࡜ศ࠿ࡿࠋࡼࡗ࡚㸪ࢢࣜࢩࢼࢺ㘒యࢆᙧᡂࡋ࡚࠸ࡿࢢࣜࢩࣥࡶྵࡵࡓ඲⃰ᗘࢆ Cg all ࡜ࡍࡿ࡜㸪Cg all = Cg + [Cu(gly)+ ] + 2[Cu(gly)2 ] = 0.32 mol/L +11mol/L + 2 ×mol/L = 0.377 mol/L
21210(16)10=49.60㸪ࡍ࡞ࢃࡕ Ka2 = 109.60 mol/L ࡛࠶ࡿࡀ㸪pH = 9.60 ࡢ࡜ࡁ㸪[H+ ] = 109.60 mol/L = 2.5 × 1010 mol/L࡞ࡢ࡛㸪࡜࡞ࡾ㸪ࡇࢀࡣ pH ࡀኚ໬ࡋ࡚ࡶ୍ᐃ࡛࠶ࡿࠋࡲࡓ㸪pKa2 =  log10 Ka2 =  log10 (2.5 × 1010 ) = 10log10[gly ][H+ ][gly± ]±! [gly ] = [gly ]Ka2 =(17)࡜࡞ࡗ࡚࠸ࡿࠋࡇࡇ࡛㸪ࢢࣜࢩࢼࢺ㘒యࡀࡍ࡭࡚ [Cu(gly)2 ] ࡛࠶ࡿ࡜௬ᐃࡍࡿ࡜㸪(16) ᘧ㸪(17) ᘧ࠾ࡼࡧ[Cu(gly)2 ] = 0.20 mol/L ࡼࡾ㸪[gly± ] + [gly ] = Cg all  [Cu(gly)2 ] = (0.377  0.20) mol/L = 0.177 mol/L! [gly ] = 8.85 × 102 mol/L࡜࡞ࡿࠋࡼࡗ࡚㸪(11) ᘧ࡟ (18) ᘧࡢ⤖ᯝࢆ௦ධࡍࡿ࡜

¢ ¡¢¡[Cu2+ ] : [Cu(gly)+ ] : [Cu(gly)2 ] = 1 : K1 [gly ] : K1 K2 [gly ]2 = 1 : 8.85 × 106 : 7.83 × 1012

ࡀᚓࡽࢀࡿࡢ࡛㸪௬ᐃࡣጇᙜ࡛࠶ࡿ࡜⪃࠼ࡽࢀࡿࠋ
㸦⟅㸧[Cu(gly)2 ]ၥ 7 㸦⟅㸧0.10 mol/L(18)ၥ 8 㔪≧⤖ᬗ࡜㫣∦≧⤖ᬗࡣ஫࠸࡟ᗄఱ␗ᛶయࡢ㛵ಀ࡟࠶ࡿࢢࣜࢩࢼࢺ㘒య࡛㸪ḟᅗࡢࡼ࠺࡟㸪ࢩࢫᙧ࡟ࡣᴟᛶࡀ࠶ࡿࡢ࡟ᑐࡋ㸪ࢺࣛࣥࢫᙧࡣᴟᛶࡀ࡞࠸ࡢ࡛㸪ᴟᛶ⁐፹ࡢỈ࡟ࢩࢫᙧࡣ⁐ࡅࡸࡍࡃ㸪ࢺࣛࣥࢫᙧࡣ⁐ࡅ࡟ࡃ࠸ࠋ㸦⟅㸧ୖᅗࡢࢺࣛࣥࢫᙧࢆཧ↷ࡢࡇ࡜ࠋ[II]ၥ 1 㔠ᒓ∦ࢆ⣧Ỉ࡟ධࢀࡿ࡜㸪᤼㝖ࡉࢀࡓ⣧Ỉࡢ㉁㔞ࡔࡅኳ⛗ࡢ⾲♧ࡀᑠࡉࡃ࡞ࡿ㸦㔠ᒓ∦࡟ᾋຊࡀാ࠸࡚࠸ࡿ࡜⪃࠼࡚ࡶࡼ࠸㸧ࠋࡼࡗ࡚㸪⣧Ỉࡢᐦᗘࡣḟࡢࡼ࠺࡟࡞ࡿࠋ

(241.1  228.6) g= 12.5 cm3
1.00 g/cm3ၥ 2 ኱Ẽ୰࡛㔠ᒓ∦ࢆ

··㸦
· ⟅㸧

ᐃࡋࡓ್࠿ࡽồࡵࡿ㸦᤼㝖ࡋࡓ✵Ẽ࡟ࡼࡿᾋຊࡣ↓どࡋ࡚ࡼ࠸㸧ࠋ

241.1 g= 19.3 g/cm3
12.5 g/cm3··㸦· ⟅㸧

ၥ 3 ᤼㝖ࡉࢀࡓሷ໬ࢼࢺ࣒ࣜ࢘⁐ᾮࡢ㉁㔞ࡣ ၥ 1 ࡜ྠᵝ࡟ࡋ࡚ồࡵࡽࢀࡿࠋ

(241.1  226.2) g= 1.19 g/cm3
12.5 cm3··㸦· ⟅㸧

ၥ 4 ၥ 3 ࡢ⤖ᯝࢆ⏝࠸࡚㸪ࣔࣝ⃰ᗘࡣḟࡢࡼ࠺࡟ồࡲࡿࠋ

70.3 g270.3 g÷
= 5.30 mol/L
58.5 g/mol
1.192 × 103 g/L

··㸦
· ⟅㸧

ၥ 5 ᐦᗘࢆ '㸪ࣔࣝ㉁㔞ࢆ M 㸪᱁Ꮚᐃᩘࢆ a㸪࢔࣎࢞ࢻࣟᐃᩘࢆ NA ࡜ࡍࡿ࡜㸪㠃ᚰ❧᪉᱁Ꮚࡢሙྜ㸪'=4M
NA a3࡜࡞ࡿࠋ᱁Ꮚᐃᩘ a ࡣཎᏊ༙ᚄ r ࡜$2M4MM'== 3¡ $ ¢38NA r 3r
NA 2 2 r$

2 a = 4r ࡢ㛵ಀࡀ࠶ࡿࡢ࡛㸪Mࢆ Cu㸪Ag㸪Pt㸪Au ࡟ࡘ࠸࡚ィ⟬ࡍࡿ࡜㸪㡰࡟ 3.02 × 1025 㸪3.61 × 1025 㸪7.24 × 1025 㸪6.58 × 1025r3
࡜࡞ࡿࡢ࡛㸪᭱ࡶᐦᗘࡀ኱ࡁ࠸㔠ᒓࡣ Pt㸪᭱ࡶᐦᗘࡀᑠࡉ࠸㔠ᒓࡣ Cu ࡜ศ࠿ࡿࠋࡲࡓ㸪ᐇ㦂࡟⏝࠸ࡓ㔠ᒓ∦ࡢᐦᗘࡣ ၥ 2 ࡼࡾ 19.3 g/cm3 ࡛࠿࡞ࡾ኱ࡁ࠸ࡢ࡛㸪Pt ࠿ Au ࡜᥎ ࡛ࡁࡿࠋ౛࠼ࡤ㸪Au ࡛ィ⟬ࡍࡿ࡜㸪$2M
1.41'=× 3 =× 6.58 × 1025 g/(mol · cm3 ) = 19.3 g/cm38NAr
8 × 6.00 × 1023 /mol࡜⾲ࡏࡿࠋ࡜࡞ࡿࡢ࡛ྜࡗ࡚࠸ࡿࠋ㸦⟅㸧᭱ࡶᐦᗘࡀ኱ࡁ࠸㔠ᒓ㸸Pt᭱ࡶᐦᗘࡀᑠࡉ࠸㔠ᒓ㸸Cuᐇ㦂࡟⏝࠸ࡓ㔠ᒓ∦㸸Au

[III]C ࡣࣇ࢙ࣀ࣮ࣝ㸪E ࡣࢸࣞࣇࢱࣝ㓟࡜ศ࠿ࡿࠋࡼࡗ࡚ D ࡣࣇࢱࣝ㓟㸪ࡑࢀࢆຍ⇕ࡋ࡚⏕ᡂࡋࡓ F ࡣ↓Ỉࣇࢱࣝ㓟࡛࠶ࡿࠋࡲࡓ㸪᧯సձ࡛ A ࡣỈᒙ࡟⛣ࡗࡓࡢ࡛ሷᇶᛶ࡛㸪୍⨨᥮య࡛࠶ࡿࡇ࡜࠿ࡽ࢔ࢽࣜࣥ࡜ศ࠿ࡿࠋ᧯సճ࡛ D ࡜ EࡣỈᒙ࡟⛣ࡾ㸪᧯సմ࡛࢚࣮ࢸࣝᒙ࡟⛣ࡗࡓࡢ࡛࢝ࣝ࣎ࣥ㓟࡜ศ࠿ࡿࠋ᭱ᚋࡲ࡛࢚࣮ࢸࣝᒙ࡟ṧࡗࡓ B ࡣ୰ᛶ࡛㸪ࡑࢀࢆ㑏ඖࡍࡿ࡜࢔ࢽࣜࣥ࡟࡞ࡿࡢ࡛ࢽࢺࣟ࣋ࣥࢮࣥ࡜☜ᐃࡍࡿࠋၥ 1 㓟ᛶ≀㉁㸸C࣭D࣭E୰ᛶ≀㉁㸸B࣭Fሷᇶᛶ≀㉁㸸Aၥ 2 ୗ⥺㒊 (1) ࡣࢪ࢔ࢰࢽ࣒࢘ሷࡢ⇕ศゎ㸪ୗ⥺㒊 (2) ࡣࢪ࢔ࢰ࢝ࢵࣉࣜࣥࢢ࡛࠶ࡿࠋ㸦⟅㸧

ၥ 3 ࣋ࣥࢮࣥࢆΰ㓟࡛ࢽࢺࣟ໬ࡍࡿ࡜ࢽࢺࣟ࣋ࣥࢮࣥࡀ⏕ᡂࡍࡿࠋ㸦⟅㸧HNO3 ࣭H2 SO4ၥ 4 㸦⟅㸧A㸸࢔ࢽࣜࣥB㸸ࢽࢺࣟ࣋ࣥࢮࣥ

C㸸ࣇ࢙ࣀ࣮ࣝD㸸ࣇࢱࣝ㓟

E㸸ࢸࣞࣇࢱࣝ㓟F㸸↓Ỉࣇࢱࣝ㓟ၥ 5 ᚓࡽࢀࡿ࣏࢚ࣜࢳࣞࣥ⣔ྜᡂ⧄⥔ࡣ࣏࢚ࣜࢳࣞࣥࢸࣞࣇࢱ࣮ࣛࢺ࡛࠶ࡿࠋᖹᆒ㔜ྜᗘࢆ n ࡜ࡍࡿ࡜㸪ศᏊ㔞ࡣ
192n ࡟࡞ࡿࡢ࡛㸪n=2.40 × 104= 125
192··㸦· ⟅㸧࡜࡞ࡿࠋ࢚ࢫࢸࣝ⤖ྜࡢᩘࡣḟࡢࡼ࠺࡟࡞ࡿࠋ

2n  1 = 2 × 125  1 = 2.5 × 102··㸦
· ⟅㸧[IV]ၥ 1 㸦⟅㸧࢔㸸㓑㓟ࣅࢽࣝ࢖㸸࣒࣍ࣝ࢔ࣝࢹࣄࢻ࢘㸸࢔ࢭࢱ࣮࢚ࣝ㸸࢜㸸࢖࢜ࣥ࢝㸸ᾐ㏱

ၥ 2 㸦⟅㸧ࣅࢽࣝ࢔ࣝࢥ࣮ࣝࡣ୙Ᏻᐃ࡛ࡍࡄ࡟࢔ࢭࢺ࢔ࣝࢹࣄࢻ࡟␗ᛶ໬ࡍࡿࡓࡵࠋ
ၥ 3 ࢔ࢭࢱ࣮ࣝ໬࡟ࡼࡾ 2 ಶࡢ OH ࡀ཯ᛂࡋ࡚ OCH2 O ࡟࡞ࡿࡢ࡛㸪OH 1 ಶᙜࡓࡾศᏊ㔞ࡣቑຍࡍࡿࠋࡼࡗ࡚㸪ồࡵࡿ๭ྜࢆ x ࡜ࡍࡿ࡜㸪ḟࡢ㛵ಀࡀᡂࡾ❧ࡘࠋ

11.0 g(115  110) g=44.0n g/mol
6.00xn g/mol
1= 33.3 %!x=
312.0= 6.002··㸦· ⟅㸧ၥ 4 㸦ゎ⟅౛㸧ᒀ࡟ࡣ㟁ゎ㉁ࡀྵࡲࢀࡿࡢ࡛㸪࣏ࣜ࢔ࢡࣜࣝ㓟ࢼࢺ࣒ࣜ࢘ᯫᶫయ࡜ࡢᾐ㏱ᅽࡢᕪࡀᑠࡉࡃ࡞ࡿࡓࡵࠋ
ၥ 5 㸦ゎ⟅౛㸧჎ྤ≀࡟ࡣ⫶㓟ࡀྵࡲࢀ࡚㓟ᛶࡀᙉࡃ㸪࣏ࣜ࢔ࢡࣜࣝ㓟ࢼࢺ࣒ࣜ࢘ᯫᶫయ୰ࡢ࢝ࣝ࣎࢟ࢩᇶࡀ㐟㞳ࡋ࡚㟁Ẽⓗ཯Ⓨࡀᙅࡲࡾ㸪྾Ỉ⬟ຊࡀపୗࡍࡿࡓࡵࠋ

࠙໬Ꮫ㸦ㅮホ㸧ࠚ᫖ᖺᗘᚋᮇࡸ௒ᖺᗘ๓ᮇ࡜ྠᵝ࡟㸪タၥ࡟ࡼࡗ࡚㞴᫆ᗘ࡟኱ࡁ࡞ᕪࡀ࠶ࡗࡓࠋ᫬㛫ⓗ࡟᏶⟅ࡣཝࡋ࠸ࡢ࡛㸪ၥ㢟ࡢྲྀᤞ㑅ᢥࡀ㔜せ࡛࠶ࡿࠋ[I] ࡣࢢࣜࢩࣥࡢ㟁㞳ᖹ⾮࡜㘒యᙧᡂࡢᖹ⾮ࢆ⤌ࡳྜࢃࡏࡓၥ㢟࡛ᕪࡀ௜ࡁࡸࡍ࠸ࠋၥ 2 ࡣຍỈศゎࡢィ⟬⦎⩦ࢆࡋࡗ࠿ࡾࡸࡗࡓேࡣࡍࡄ❧ᘧ࡛ࡁࡓࡔࢁ࠺ࠋၥ 4 ࡣ☜ᐇ࡟ྲྀࡾ㸪ၥ 5 ࡛຾㈇ࡋࡓ࠸ࠋၥ 6࣭ၥ 7 ࡣࢢࣜࢩࣥࡢ≀㉁཰ᨭࢆ⪃࠼ࡿࡇ࡜ࡀ࣏࢖ࣥࢺ࡜࡞ࡿࡀ㸪᫬㛫ෆࡢゎ⟅ࡣᅔ㞴࡛࠶ࡿ࡜ᛮࢃࢀࡿࠋၥ 8 ࡣゎ⟅ࡋࡓ࠸ࠋ[II] ࡣᾋຊࡢᢅ࠸࡟័ࢀ࡚࠸ࡿ࡜ࡸࡾࡸࡍ࠸࡜ࡣᛮ࠺ࡀ㸪ᐜ᫆࡞ၥ㢟࡞ࡢ࡛≀⌮ࢆᏛ⩦ࡋ࡚࠸࡞ࡃ࡚ࡶ኱୔ኵ࡞࠸ࡔࢁ࠺ࠋࡓࡔ㸪ၥ 5 ࡢィ⟬ࡣᑡࡋ኱ኚ࡛࠶ࡿࠋ
[III] ࡣᖹ࡛᫆࠶ࡾ㸪᏶⟅ࡣᚲ㡲࡛࠶ࡿࠋ[IV] ࣅࢽࣟࣥࡢྜᡂἲࡣᢲࡉ࠼࡚࠸ࡿ࡜ᛮ࠺ࡀ㸪ၥ 3 ࡢࡼ࠺࡞ィ⟬ၥ㢟ࢆࡋࡗ࠿ࡾྲྀࡿࡇ࡜ࠋ࣏ࣜ࢔ࢡࣜࣝ㓟ࢼࢺ࣒ࣜ࢘ࡢ྾Ỉᶵᵓ࡟ࡘ࠸࡚Ꮫ⩦ࡋ࡚▱ࡗ࡚࠸ࡓேࡣㄞࡳࡸࡍ࠿ࡗࡓࡢ࡛ࡣ࡞࠸࠿ࠋၥ 4࣭ၥ 5 ࡛ᕪࡀ௜ࡃࠋ
[I] ࡛ 7 ๭㸪[II] ࡛ 8 ๭㸪[III] ࡣ᏶⟅㸪[IV] ࡛ 8 ๭ࡢᚓⅬ⋡ࢆ┠ᣦࡋࡓ࠸ࠋ඲య࡛ 75 % ⛬ᗘᚓⅬ࡛ࡁࢀࡤ༑ศ࡛࠶ࢁ࠺ࠋ