Question #94080
Calculate the voltage generated in the following cell Mn|Mn2+||Fe2+|Fe when iron rod is immersed in 1.0 M FeSO4 solution and Mn rod is immersed in 0.1 M MnSO4 solution. Given E0Fe2+/Fe = -0.40 V and E0Mn2+/Mn = -1.18 V. Write the cell representation and reactions.
1
Expert's answer
2019-09-09T05:00:53-0400

Mn=Mn2++2e(Anode)EA=1.18VMn=Mn^{2+}+2e^- (Anode) E_A=-1.18V

Fe2++2e=Fe(Cathode)EC=0.40VFe^{2+}+2e^-=Fe(Cathode) E_C=-0.40V

E=EAEC+0.0592lgaFe2+aMn2+=0.40+1.18+0.0592lg1.00.1=0.81VE=E_A-E_C+\frac{0.059}{2}lg\frac{a_{Fe^{2+}}}{a_{Mn^{2+}}}=-0.40+1.18+\frac{0.059}{2}lg\frac{1.0}{0.1}=0.81V

Answer E=0.81V



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