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Calculate the cell potential for the following reaction as written at 25.00 °C, given that [Mg2...

Calculate the cell potential for the following reaction as written at 25.00 °C, given that [Mg2 ] = 0.774 M and [Sn2 ] = 0.0190 M. Standard reduction potentials can be found here.

Reduction Half-Reaction Standard Potential Ered° (V)
F2(g) + 2e– → 2F–(aq) +2.87
O3(g) + 2H3O+(aq) + 2e– →  O2(g) + 3H2O(l) +2.076
Co3+(aq) + e– →  Co2+(aq) +1.92
H2O2(aq) + 2H3O+(aq) + 2e– →  2H2O(l) +1.776
N2O(g) + 2H3O+(aq) + 2e– →  N2(g) + 3H2O(l) +1.766
Ce4+(aq) + e– → Ce3+(aq) +1.72
PbO2(s) + SO42–(aq) + 4H3O+(aq) + 2e– → PbSO4(s) + 6H2O(l) +1.6913
MnO4–(aq) + 4H3O+(aq) + 3e– →  MnO2(s) + 6H2O(l) +1.679
NiO2(s) + 4H3O+(aq) + 2e– →  Ni2+(aq) + 6H2O(l) +1.678
2HClO(aq) + 2H3O+(aq) + 2e– → Cl2(g) +2H2O(l) +1.611
H5IO6(s) + H3O+(aq) + 2e– →  IO3–(aq) + 4H2O(l) +1.601
2NO(g) + 2H3O+(aq) + 2e– →  N2O(g) + 3H2O(l) +1.591
MnO4–(aq) + 8H3O+(aq) + 5e– →  Mn2+(aq) + 12H2O(l) +1.507
Au3+(aq) + 3e– → Au(s) +1.498
PbO2(s) + 4H3O+(aq)+ 2e– → Pb2+(aq) + 6H2O(l) +1.455
ClO3–(aq) + 6H3O+(aq) + 6e– →  Cl–(aq) + 9H2O(l) +1.451
BrO3–(aq) + 6H3O+(aq) + 5e– → 1/2Br2(l) + 9H2O(l) +1.482
2ClO4–(aq) + 16H3O+(aq) + 14e– → Cl2(g) + 24H2O(l) +1.39
ClO4–(aq) + 8H3O+(aq) + 8e– → Cl–(aq) + 12H2O(l)   +1.389
Cl2(g) + 2e– → 2Cl–(aq) +1.36
ClO4–(aq) + 6H3O+(aq) + 6e– → ClO–(aq) + 9H2O(l) +1.36
HBrO(aq) + H3O+(aq) + 2e– → Br– + 2H2O(l) +1.331
Cr2O72–(aq) + 14H3O+(aq) + 6e– → 2Cr3+(aq) + 21H2O(l) +1.232
O2(g) + 4H+(aq) + 4e– → 2H2O(l) +1.23
MnO2(s) + 4H3O+(aq) + 2e– → Mn2+(aq) + 6H2O(l) +1.224
2IO3–(aq) + 12H3O+(aq) + 10e– → I2(s) + 18H2O(l) +1.195
ClO4–(aq) + 2H3O+(aq) + 2e– → ClO3–(aq) + 3H2O(l) +1.189
Pt2+(aq) + 2e– →  Pt(s) +1.18
Br2(aq) + 2e– →  2Br–(aq) +1.0873
Br2(l) + 2e– → 2Br–(aq) +1.07
NO2(g) + 2H3O+(aq) + 2e– →  NO(g) + 3H2O(l) +1.03
NO3–(aq) + 4H3O+(aq) +3e– →  NO(g) + 6H2O(l) +0.957
2Hg2+(aq) + 2e– →  Hg22+(aq) +0.920
Hg2+(aq) + 2e– →  Hg(l) +0.851
ClO–(aq) + H2O(l) + 2e– → Cl–(aq) + 2OH–(aq) +0.81
Ag+(aq) + e– → Ag(s) +0.80
Hg22+(aq) + 2e– →  2Hg(l) +0.7973
Fe3+(aq) + e– →  Fe2+(aq) +0.771
Ni(OH)2(s) + 2e– →  Ni(s) + 2OH–(aq) +0.72
p-benzoquinone + H3O+(aq) + 2e– →  hydroquinone + H2O(l) +0.6992
O2(g) + 2H3O+(aq) + 2e– →  H2O2(l) + 2H2O(l) +0.695
MnO4–(aq) + 2H2O(l) + 3e– →  MnO2(s) + 4OH–(aq) +0.595
I2(s) + 2e– → 2I–(aq) +0.54
I3–(aq) + 2e– → 3I–(aq) +0.536
Cu+(aq) + e– → Cu(s) +0.52
O2(g) + 2H2O + 4e– →  4OH–(aq) +0.401
Fe(CN)63–(aq) + e– →  Fe(CN)64–(aq) +0.358
Cu2+(aq) + 2e– → Cu(s) +0.34
Hg2Cl2(s) + 2e– →  2Hg(l) + 2Cl–(aq) +0.26808
HAsO2(s) + 3H3O+(aq) + 3e– → As(s) + 5H2O +0.248
AgCl(s) + e– →  Ag(s) + Cl-(aq) +0.22233
Cu2+(aq) + e– →  Cu+(aq) +0.153
Sn4+(aq) +2e– →  Sn2+(aq) +0.151
S(s) + 2H3O+(aq) + 2e– →  H2S(s) + 2H2O(l) +0.14
NO3–(aq) +2H2O(l) + 3e– → NO(g) + 4OH–(aq) +0.109
N2(g) + 8H3O+(aq) + 6e– →  2NH4+(aq) +8H2O(l) +0.092
S4O62–(aq) + 2e– →  2S3O32–(aq) +0.08
AgBr(s) + e– →  Ag(s) + Br–(aq) +0.07133
2H+(aq) + 2e– → H2(g) 0.00
Fe3+(aq) + 3e– → Fe(s) -0.04
[Co(NH3)6]3+(aq) + e– →  [Co(NH3)6]2+(aq) -0.108
Pb2+(aq) + 2e– → Pb(s) –0.13
Sn2+(aq) + 2e– → Sn(s) –0.14
O2(g) + 2H2O(l) + 2e– →  H2O2(l) + 2OH–(aq) –0.146
AgI(s) + e– →  Ag(s) + I– (aq) –0.15224
CO2(g) + 2H3O+(aq) + 2e– →  HCO2H(s) + 2H2O(l) –0.199
Cu(OH)2(s) + 2e– →  Cu(s) + 2OH–(aq) –0.222
Ni2+(aq) + 2e– → Ni(s) –0.26
Co2+(aq) + 2e– → Co(s) –0.28
PbSO4(s) + 2e– →  Pb(s) + SO42–(aq) –0.3588
SeO32–(aq) + 3H2O(l) + 4e– →  Se + 6OH–(aq) –0.366
Cd2+(aq) + 2e– →   Cd(s) –0.403
Cr3+(aq) + e– →  Cr2+(aq) –0.407
Fe2+(aq) + 2e– → Fe(s) –0.44
NO2–(g) + H2O(l) + 3e– →  NO(g) + 2OH–(aq) –0.46
S(s) + 2e– → S2–(aq) –0.48
2CO2(g) + 2H3O+(aq) + 2e– →  H2C2O4(s) + H2O(l) –0.49
TiO2(s) + 4H3O+ + 2e– →  Ti2+(aq) + 6H2O(l) –0.502
Au(CN)2–(aq) + e– →  Au(s) + 2CN–(aq) –0.60
Cr3+(aq) + 3e– → Cr(s) –0.74
Zn2+(aq) + 2e– → Zn(s) –0.76
Cd(OH)2(s) + 2e– →   Cd(s) + 2OH–(aq) –0.809
2H2O(l) + 2e– → H2(g) + 2OH–(aq) –0.83
Ti3+(aq) + e– →  Ti2+(aq) –0.85
H3BO3(s) + 3H3O+ + 3e– →  B(s) + 6H2O(l) –0.8698
Cr2+(aq) + 2e– → Cr(s) –0.91
SO42–(aq) + H2O(l) + 2e– →  SO32–(aq) + 2OH–(aq) –0.93
CNO–(aq) + H2O(l) + 2e– →  CN–(aq) + 2OH–(aq) –0.970
[Zn(NH3)4]2+(aq) + 2e– →  Zn(s) + 4NH3(aq) –1.04
Mn2+(aq) + 2e– →  Mn(s) –1.185
Cr(OH)3(s) + 3e– → Cr(s) + 3OH–(aq) –1.48
Ti2+(aq) + 2e– →  Ti(s) –1.630
Al3+(aq) + 3e– → Al(s) –1.66
Al(OH)3(s) + 3e– → Al(s)+3OH–(aq) –2.31
Mg2+(aq) + 2e– → Mg(s) –2.38
Mg(OH)2(s) + 2e– → Mg(s) + 2OH–(aq) –2.69
Na+(aq) + e– → Na(s) –2.71
Ca2+(aq) + 2e– → Ca(s) –2.87
Ba2+(aq) + 2e– → Ba(s) –2.912
K+(aq) + e– →  K(s) –2.931
Ba(OH)2(s) + 2e– →  Ba(s) + 2OH–(aq) –2.99
Ca(OH)2(s) + 2e– →  Ca(s) + 2OH–(aq) –3.02
Cs+(aq) + e– → Cs(s) –3.026
Li+(aq) + e– → Li(s) –3.04
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Answer #1

Mg^{2+}(aq) + Sn(s) \rightleftharpoons Mg(s) + Sn^{2+}(aq)
E^0_{cell} = E^0_{Mg}-E^0_{Sn} = -0.14-0.151 = -0.291 V
E_{cell}=E^0_{cell}- \frac {0.0592}{n}log \frac {[Sn^{2+}]}{[Mg^{2+}]}
E_{cell}=-0.291- \frac {0.0592}{2}log \frac {0.0190}{0.774 }
E_{cell}=-0.338 V

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