Respuesta :
Ecell=E°cell-(RT/nF)lnQ
E°cell=1.09V
R=8.314
T=298K
n=2 (2 electrons are passed from Sn2+ to 2ClO)
F=96485
Q=8.32 (2.00/0.100*1.55^2) Therefore;
1.09-(8.314*298/2*96485)ln8.32
1.09-(0.0128)ln8.32
1.09-(0.0128)2.12
1.09-0.027=1.06V
E°cell=1.09V
R=8.314
T=298K
n=2 (2 electrons are passed from Sn2+ to 2ClO)
F=96485
Q=8.32 (2.00/0.100*1.55^2) Therefore;
1.09-(8.314*298/2*96485)ln8.32
1.09-(0.0128)ln8.32
1.09-(0.0128)2.12
1.09-0.027=1.06V
Given the available information in the question, the cell voltage is 0.98 V.
The overall equation of the reaction is; Sn(s) + 2ClO2(g) -----> Sn2+(aq) + 2ClO2−(aq)
From the question, we know that;
[Sn2+] = 1.85 M
[ClO2−] = 2.00 M
[ClO2] = 0.150 atm
n = 2 electrons
The standard cell potential is obtained from;
E°cathode = 0.93 V
E°anode = -0.13 V
E°cell = 0.93 V - ( -0.13 V) = 1.06 V
Using Nernst equation;
Ecell = E°cell - 0.0592/2 log Q
Q = [Sn2+] [ClO2−]^2/[ClO2]^2
Q = [ 1.85] [2.00]^2/[0.150]^2
Q = 328.89
Ecell = 1.06 - 0.0592/2 log( 328.89)
Ecell = 0.98 V
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