I2 + 2Na2S2O3 = Na2S4O6 + 2NaI
n(Pb3O4) = n(Pb)/3 = n(CrO4)/3 = 2n(I2)/9 = n(S2O3)/9
2?1n(S2O3)M(Pb3O4)m(Pb3O4)n(Pb3O4)M(Pb3O4)9w(Pb3O4)???msms9ms?31?0.1000?12.00?10?685.69?0.10002?2?
?0.91416-19.抗坏血酸(摩尔质量为176.1g?mol)是一个还原剂,它的半反应为
C6H6O6 + 2H+ + 2e? === C6H8O6
?1
它能被I2氧化。如果10.00mL柠檬水果汁样品用HAc酸化,并加入20.00mL0.02500 mol?LI2溶液,待反应完全后,过量的I2用10.00mL 0.0100 mol?LNa2S2O3滴定,计算每毫升柠檬水果汁中抗坏血酸的质量。
解: I2 + C6H8O6 = 2I? + C6H6O6 + 2H+
n(C6H8O6) = n(I2) = n(Na2S2O3)/2
?(C6H8O6) ?m(C6H8O6)Vs?n(C6H8O6)M(C6H8O6)Vs?31?0.0100?10.00)?10?176.1g210.00mL?1
?1
(0.02500?20.00???0.007925 g?mL?1
提高题:
6-20. 已知 Hg2Cl2(s)+2e?=2Hg(l)+2Cl? E? =0.28V Hg22++2e?=2Hg(l) E? =0.80V
2+?
求K?sp(Hg2Cl2)。 (提示: Hg2Cl2(s) Hg2+2Cl) 解: Hg2Cl2(s) +2e?=2Hg(l)+2Cl? E? = 0.28V Hg22++2e?=2Hg(l) E? = 0.80V 将上述两电极反应组成原电池:
?2+
(?)Pt|Hg(l)|Hg2Cl2(s)|Cl‖Hg2|Hg(l)|Pt(+)
电池反应为: Hg22++2Cl?= Hg2Cl2(s)
E?= 0.80V ?0.28V = 0.52V
反应的平衡常数 lgK? =
n?E? 2?0.52V?= 17.56
0.0592V0.0592V
K? =1017.56
K?sp(Hg2Cl2) = 1/K? = 1/1017.56 = 2.8?10?18
6-21.已知下列标准电极电势
Cu+2e =Cu E? =0.337V
Cu2++e?=Cu+ E? =0.153V
(1) 计算反应 Cu + Cu= 2Cu的平衡常数。 (2) 已知K?sp(CuCl) =1.2×10?6,试计算下面反应的平衡常数。 Cu + Cu2++2Cl? 2CuCl↓ 解:(1) Cu2+ 0.153 Cu+ E? Cu 0.337
2+
+
2+
?
2?E?(Cu/Cu) = 1?E?(Cu/Cu) + 1?E?(Cu/Cu)
2?0.337V = 1?0.153V + 1?E?(Cu/Cu) E?(Cu/Cu) = 0.521V ????2?? E(Cu/Cu)?E(Cu/Cu)nE0.153?0.521????6.22 lgK?=
0.0592V0.0592V? 2+
+
+
2+2+++
0.0592 K= 6.0?10
a) E?+ = E?(Cu/CuCl) = E(Cu/Cu)
= E?(Cu2+/Cu+) + 0.0592Vlg[c(Cu2+)/c(Cu+)]
= 0.153V + 0.0592Vlg(1/K?sp,CuCl) = 0.153V + 0.0592Vlg(1/1.2×10?6)
= 0.504V
+++
E?? = E?(CuCl/Cu) = E(Cu/Cu) = E?(Cu/Cu) + 0.0592Vlgc(Cu)
= 0.521V + 0.0592Vlg K?sp,CuCl = 0.521V + 0.0592Vlg(1.2×10) = 0.170 ?
/CuCl) ?E(CuCl/Cu)0.504?0.1700.0592V?0.0592?6
2+
+
?7
?
lgK?=
nE?
E(Cu?2?0.0592V?5.64
K?= 4.4?10
6-22.下列三个反应: (1) A + B= A+ B (2) A + B= A+ B
(3) A + B= A+ B
的平衡常数值相同,判断下述那一种说法正确? (a) 反应(1)的值E?最大而反应(3)的值E?最小; (b) 反应(3)的E?值最大;
(c) 不明确A和B性质的条件下无法比较E?值的大小; (d) 三个反应的E?值相同。 解: (a)。
6-23.吸取50.00mL含有的IO3?和IO4?试液,用硼砂调溶液pH,并用过量KI处理,???1
使IO4转变为IO3,同时形成的I2用去18.40mL 0.1000 mol?LNa2S2O3溶液。另取10.00mL试液,用强酸酸化后,加入过量KI,需同浓度的Na2S2O3溶液完成滴定,用去48.70mL。计算试液中IO3和IO4的浓度。
解: 有关反应 IO4? + 2I? + 2H+ = IO3? + I2 + H2O,
I2 + 2S2O32? = S4O62? + 2I?
n(IO4?) = n(I2) = n(S2O32?)/2
强酸酸化以后 IO4? + 7I? + 8H+ = 4I2 + 4H2O,
IO3? + 5I? + 6 H+ = 3I2 + 3H2O
n(IO4?) = n(I2)/4 = n(S2O32?)/8 ,
n(IO3) = n(I2)/3 = n(S2O3)/6
c(IO4)?? 5
+ +
2+ 3+
2+ 3+
??
?2?
n(IO4)V?2?1n(S2O3)?2V1?0.1000?18.40?1?2?mol?Lc(IO4)
50.00?0.01840 mol?L?1
c(IO3)??n(IO3V?2??1[n(S2O3)?8n(IO4)])6?V1?[0.1000?48.70?8?0.01840?10.00]?16?mol?L
10.00?0.05663 mol?L?16-24.Calculate the ?rG?m at 25℃ for the reaction
Cd(s) + Pb2+(aq) → Cd2+(aq) + Pb(s)
2+2+
Solution: E?(Cd/Cd) = ?0.403V E?(Pb/Pb) = ?0.126V
E? = E?(Pb2+/Pb) ? E?(Cd2+/Cd) = ?0.126V ?(?0.403V) = 0.277V
?rG?m = ?nFE?= ?2×96500×0.277J?mol
?1
= ?53461J?mol?1
?1
= ?53.5 kJ?mol
6-25.Calculate the potential at 25℃ for the cell
Cd|Cd2+(2.00mol·L-1)‖Pb2+(0.0010mol·L-1)|Pb Solution: E+ = E?(Pb2+/Pb) + 0.0592V/2lgc(Pb2+)
= ?0.126V + 0.0592V/2lg0.0010 = ?0.215V
E? = E?(Cd2+/Cd) + 0.0592V/2lgc(Cd2+) = ?0.403V + 0.0592V/2lg2.00 = ?0.394V
E = E+ ? E?
= ?0.215V ?(?0.394V) = 0.179V