Asked by Adrik
                Use the Nernst equation to calculate the iron (II) concentration for the following
iron/copper electrochemical cell when [Cu2+] = 0.012 M and Ecell = 0.750 V at 35°C.
Cu2+ (aq) + Fe (s) --> Cu (s) + Fe2+ (aq)
            
        iron/copper electrochemical cell when [Cu2+] = 0.012 M and Ecell = 0.750 V at 35°C.
Cu2+ (aq) + Fe (s) --> Cu (s) + Fe2+ (aq)
Answers
                    Answered by
            DrBob222
            
    I presume you meant 25C and not 35. If you meant 35 then replace the 0.0592 below by (RT/2*F)
Ecell = Eocell -(0.0592/2)log Q
You have Ecell.
Eocell = Eo for Cu^2+ + 2e --> Cu
and add to Eo for Fe(s) ==> Fe^2+ + 2e
That leaves Q. Q in this case is
Q = (Fe^2+)/(Cu^2+)
Substitute and go.
    
Ecell = Eocell -(0.0592/2)log Q
You have Ecell.
Eocell = Eo for Cu^2+ + 2e --> Cu
and add to Eo for Fe(s) ==> Fe^2+ + 2e
That leaves Q. Q in this case is
Q = (Fe^2+)/(Cu^2+)
Substitute and go.
                    Answered by
            Adrik
            
    Thank you very much, but the problem indeed says 35 degree C. I was wondering if there is a way to calculate the Fe2+ (aq)?
    
                    Answered by
            DrBob222
            
    Yes, if you follow my directions above that will calculate Fe^2+. You have Eocell and Ecell which allows you to calculate Q. Then Q has the definition I gave and that has the concentrations in it. Q = (Fe^2+)/(Cu^2+). You know Q and Cu^2+, solve for Fe^2+.
If you need help in evaluating RT/2F note that I omitted the 2.303 to convert log base e to log base 10.
RT/2*F = (2.303)(8.314*308.15)/(2*96,485) = ?.
    
If you need help in evaluating RT/2F note that I omitted the 2.303 to convert log base e to log base 10.
RT/2*F = (2.303)(8.314*308.15)/(2*96,485) = ?.
                    Answered by
            Adrik
            
    Ahhhh, now it's all clear! Thank you!
    
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