Question

Using standard electrode potentials calculate ΔG∘rxn and use its value to estimate the equilibrium constant for...

Using standard electrode potentials calculate ΔG∘rxn and use its value to estimate the equilibrium constant for each of the reactions at 25 ∘C. Pb2+(aq)+Mg(s)→Pb(s)+Mg2+(aq).

Homework Answers

Answer #1

from data table:

Eo(Mg2+/Mg(s)) = -2.372 V

Eo(Pb2+/Pb(s)) = -0.126 V

As per given reaction/cell notation,

cathode is (Pb2+/Pb(s))

anode is (Mg2+/Mg(s))

Eocell = Eocathode - Eoanode

= (-0.126) - (-2.372)

= 2.246 V

a)

number of electrons being transferred, n = 2

F = 96500.0 C

use:

ΔG = -n*F*E

= -2*96500.0*2.246

= -433478 J

= -433.5 KJ

Answer: -433.5 KJ

b)

here, number of electrons being transferred, n = 2

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

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

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

2.246 = (0.0592/2)*log Kc

log Kc = 75.8784

Kc = 7.558*10^75

Answer: 7.56*10^75

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