Consider the following cell. Pt | H2(1 bar) | HCI(m) | AgCI(s) | Ag At 25.0°C, the emf values at various molalities are given by the following. m/(mol·kg-1) 0.122 0.0548 0.0260 0.0136 0.00927 0.00553 0.00317 E/V 0.342 0.381 0.418 0.450 0.468 0.494 0.521 (a) Determine the value of E° graphically. Compare your value of E° with that listed in the table. E° from graph .2387 E° from table 4.0.8 X V (b) Calculate the mean activity coefficient (Y:) for HCI at 0.122 m. (Use the E° value from the table.) 4.0 .0011

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Consider the following cell.
Pt | H2(1 bar) | HCI(m) | AgCI(s) | Ag
At 25.0°C, the emf values at various molalities are given by the following.
m/(mol-kg-1)
0.122
0.0548
0.0260
0.0136
0.00927
0.00553
0.00317
E/V
0.342
0.381
0.418
0.450
0.468
0.494
0.521
(a) Determine the value of E° graphically. Compare your value of E° with that listed in the table.
E° from graph
.2387
X V
E° from table
4.0 .8
X V
(b) Calculate the mean activity coefficient (Y+) for HCl at 0.122 m. (Use the E° value from the table.)
4.0
.0011
Transcribed Image Text:Consider the following cell. Pt | H2(1 bar) | HCI(m) | AgCI(s) | Ag At 25.0°C, the emf values at various molalities are given by the following. m/(mol-kg-1) 0.122 0.0548 0.0260 0.0136 0.00927 0.00553 0.00317 E/V 0.342 0.381 0.418 0.450 0.468 0.494 0.521 (a) Determine the value of E° graphically. Compare your value of E° with that listed in the table. E° from graph .2387 X V E° from table 4.0 .8 X V (b) Calculate the mean activity coefficient (Y+) for HCl at 0.122 m. (Use the E° value from the table.) 4.0 .0011
Standard Reduction Potentials, E°, for Half-Cells at 298 K (pH = 0)a
Electrode
Electrode reaction
E/V
Electrode
Electrode reaction
E/V
Pt|F2|F-
F(g) + 2e → 2F
+2.87
Pt|Cu2*, Cu*
Cu2+ + e → Cu*
+0.153
Pt|Co3+, Co2+
Co3+ + e→ Co²+
+1.92
Ag|AgBr|Br
AgBr + e - Ag + Br
+0.0713
Pt|Ce+, Ce3+
Ce+ + e→ Ce3+
+1.72
Pt|H,|H
2H* + 2e → H,
0.0
Pt|MnOj, Mn2+
Mno, + 8H* + 5e¯ → Mn2+ + 4H,O
+1.507
Pb|Pb2+
Pb2+ + 2e → Pb
-0.126
Pt|Mn3*, Mn²+
Mn3+ + e - Mn2+
+1,54
Sn|Sn2+
Sn2+ + 2e → Sn
-0.138
Au|Au³+
Au3+ + 3e → Au
+1.498
Co|Co*
Co2+ + 2e → Co
-0.277
Pt|C1,|CI-
Cl,(g) + 2e → 2C1-
+1.36
Ti|TI*
TI* + e - Tl
-0.336
Pb|PBSO,|SO
PbSO, + 2e - Pb + SO-
Pt|Cr,0;, Cr**
Cr,0 + 14H* + 6e¯ → 2Cr+ + 7H,0
+1.23
-0.359
Pt|T1³+, TI*
T13+ + 2e- → TI-
+1.252
Cd|Cd2-
Cd2+ + 2e → Cd
-0.403
Pt|O,, H,0
+1.229
Pt|Cr3+, Cr2+
Cr+ + e → Cr2+
O,(g) + 4H* + 4e¯ → 2H,0
-0.41
Pt|Br,, Br
Br, + 2e → 2Br
+1.087
Fe|Fe2-
Fe?+ + 2e - Fe
-0.447
Pt|Hg²*, Hg*
2H92+ + 2e → Hg*
+0.92
Zn|Zn2+
Zn2+ + 2e → Zn
-0.762
Hg|Hg2+
Hg2+ + 2e - Hg
+0.851
Pt|H,O|H,, OH
2H,0 + 2e → H, + 20H
-0.828
Ag|Ag*
Ag* + e → Ag
+0.800
Mn|Mn²-
Mn2+ + 2e- → Mn
-1.180
Pt|Fe3+, Fe2+
Fe3+ + e → Fe2+
+0.771
A1|A13-
A13+ + 3e - Al
-1.662
Pt|I,, I-
I, + 2e-→ 21
Mg|Mg2-
Mg2+ + 2e → Mg
-2.372
+0.536
Pt|O2. OH-
+0.401
Na|Na*
O,(g) + 2H,0 + 4e¯ → 40H-
Na* + e → Na
-2.714
Pt|Fe(CN);, Fe(CN);
Fe(CN) + e → Fe(CN)
+0.36
Ca|Ca2+
Ca2+ + 2e → Ca
-2.868
Cu|Cu²*
Cu2+ + 2e- → Cu
+0.342
Sr|Sr*
Sr2+ + 2e- - Sr
-2.899
Pt|Hg|Hg,Cl,|CF
Hg,Cl, + 2e → 2Hg + 2C1-
+0.268
Ba|Ba2+
Ba?+ + 2e → Ba
-2.905
Ag|AgC1|Cl-
AgCl + e - Ag + CF
+0.222
K|K*
K* + e → K
-2.931
Pt|Snt+, Sn2+
Sn4+ + 2e → Sn2+
+0.151
Li|Li*
Li* + e → Li
-3.05
a Data mostly from CRC Handbook of Chemistry and Physics, 94th ed., Taylor-Francis/CRC
Press, Boca Raton, FL, 2013.
Transcribed Image Text:Standard Reduction Potentials, E°, for Half-Cells at 298 K (pH = 0)a Electrode Electrode reaction E/V Electrode Electrode reaction E/V Pt|F2|F- F(g) + 2e → 2F +2.87 Pt|Cu2*, Cu* Cu2+ + e → Cu* +0.153 Pt|Co3+, Co2+ Co3+ + e→ Co²+ +1.92 Ag|AgBr|Br AgBr + e - Ag + Br +0.0713 Pt|Ce+, Ce3+ Ce+ + e→ Ce3+ +1.72 Pt|H,|H 2H* + 2e → H, 0.0 Pt|MnOj, Mn2+ Mno, + 8H* + 5e¯ → Mn2+ + 4H,O +1.507 Pb|Pb2+ Pb2+ + 2e → Pb -0.126 Pt|Mn3*, Mn²+ Mn3+ + e - Mn2+ +1,54 Sn|Sn2+ Sn2+ + 2e → Sn -0.138 Au|Au³+ Au3+ + 3e → Au +1.498 Co|Co* Co2+ + 2e → Co -0.277 Pt|C1,|CI- Cl,(g) + 2e → 2C1- +1.36 Ti|TI* TI* + e - Tl -0.336 Pb|PBSO,|SO PbSO, + 2e - Pb + SO- Pt|Cr,0;, Cr** Cr,0 + 14H* + 6e¯ → 2Cr+ + 7H,0 +1.23 -0.359 Pt|T1³+, TI* T13+ + 2e- → TI- +1.252 Cd|Cd2- Cd2+ + 2e → Cd -0.403 Pt|O,, H,0 +1.229 Pt|Cr3+, Cr2+ Cr+ + e → Cr2+ O,(g) + 4H* + 4e¯ → 2H,0 -0.41 Pt|Br,, Br Br, + 2e → 2Br +1.087 Fe|Fe2- Fe?+ + 2e - Fe -0.447 Pt|Hg²*, Hg* 2H92+ + 2e → Hg* +0.92 Zn|Zn2+ Zn2+ + 2e → Zn -0.762 Hg|Hg2+ Hg2+ + 2e - Hg +0.851 Pt|H,O|H,, OH 2H,0 + 2e → H, + 20H -0.828 Ag|Ag* Ag* + e → Ag +0.800 Mn|Mn²- Mn2+ + 2e- → Mn -1.180 Pt|Fe3+, Fe2+ Fe3+ + e → Fe2+ +0.771 A1|A13- A13+ + 3e - Al -1.662 Pt|I,, I- I, + 2e-→ 21 Mg|Mg2- Mg2+ + 2e → Mg -2.372 +0.536 Pt|O2. OH- +0.401 Na|Na* O,(g) + 2H,0 + 4e¯ → 40H- Na* + e → Na -2.714 Pt|Fe(CN);, Fe(CN); Fe(CN) + e → Fe(CN) +0.36 Ca|Ca2+ Ca2+ + 2e → Ca -2.868 Cu|Cu²* Cu2+ + 2e- → Cu +0.342 Sr|Sr* Sr2+ + 2e- - Sr -2.899 Pt|Hg|Hg,Cl,|CF Hg,Cl, + 2e → 2Hg + 2C1- +0.268 Ba|Ba2+ Ba?+ + 2e → Ba -2.905 Ag|AgC1|Cl- AgCl + e - Ag + CF +0.222 K|K* K* + e → K -2.931 Pt|Snt+, Sn2+ Sn4+ + 2e → Sn2+ +0.151 Li|Li* Li* + e → Li -3.05 a Data mostly from CRC Handbook of Chemistry and Physics, 94th ed., Taylor-Francis/CRC Press, Boca Raton, FL, 2013.
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