In: Chemistry
Consider the voltaic cell composed of a Mn/Mn2+ electrode and a Fe/Fe2+ electrode. Calculate the concentration of Fe2+ if the concentration of Mn2+ is 0.010 M and Ecell is 0.78V.
Standard Electrode reduction potential of Mn/Mn2+ = -1.18 V ( Anode, with higher -ve potential)
Standard Electrode reduction potential of Fe/Fe2+ = -0.44 V ( cathode, with lower -ve potential)
Standard Cepotential ,
= -0.44 - ( -1.18)
= + 0.74 V
Given cell potential at given concentratios , 0.78 V
The cell redox reaction is written as ---
BY Nernst equation the cel potential and metnioned concetrations of electrodes are related as -------
n= 2 electrons involved in the above reaction
R = 8.314 j/mol.K
F = 96485 C/mol
The concetration of Mn and Fe in their states are unity.
T = 298 K ( laboratory room temperature 25^0 C)
-------------------------------------------------------------------------------------------------------------------------------------------------
Dimensional analysis is fulfilled. ( volt = j/C) . All units balanced.
log 0.01 M - log[Fe^2+] = -0.001182
log[Fe^2+] = log 0.01 M + 0.001182
= -2 + 0.001182
= -1.9988
[Fe^2+] = 10^-1.9988
= 0.01002 M