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Reaction E°, V Mg 2+ (aq) + 2e – Mg (s) -2.356 Fe 2+ (aq) + 2e – Fe (s) -0.440 P

ID: 523618 • Letter: R

Question

Reaction                                               E°, V

                                             Mg2+ (aq)                                                       + 2e– Mg (s)     -2.356

                                             Fe2+ (aq) + 2e– Fe (s)                                     -0.440

                                             Pb2+ (aq) + 2e– Pb (s)                                     -0.125

                                             2 H+ (aq) + 2e– H2 (g)                                        0.0

                                             Cu2+ (aq) + 2e– Cu (s)                                    +0.337

                                             I2 (s)         + 2e– 2 I– (s)                                   +0.535

                                             Fe3+ (aq) + 2e– Fe2+ (aq)                               +0.771

                                             Ag+ (aq) + e– Ag (s)                                      +0.800

                                             O2 (g) + 4 H+ (aq) + 2e– 2 H2O                      +1.229

                                             Cl2 (g)      + 2e– 2 Cl– (aq)                              +1.358

                                             F2 (g)       + 2e– 2 F– (aq)                               +2.866

Calculate the value of Keq at 25°C for the reaction:

F2 (g) + 2 I– 2 F– (aq) + I2 (g)

A) 6.0 × 1078

B) 1.4 × 10–79

C) 2.33

D) 2.6 × 1039

E) 5.3 × 1039

Please Explain!!

Explanation / Answer

from data table:

Eo(I2(s)/2I-) = 0.535 V

Eo(F2(g)/2F-) = 2.866 V

the electrode with the greater Eo value will be reduced and it will be cathode

here:

cathode is (F2(g)/2F-)

anode is (I2(s)/2I-)

The chemical reaction taking place is

F2(g) + 2I- --> 2F- + I2(s)

Eocell = Eocathode - Eoanode

= (2.866) - (0.535)

= 2.331 V

here, number of electrons being transferred, n = 2

E = (2.303*R*T)/(n*F) log Kc

At 25 oC or 298 K, R*T/F = 0.0592

So, E = (0.0592/n)*log Kc

2.331 = (0.0592/2)*log Kc

log Kc = 78.75

Kc = 6.0*10^78

Answer: A