Question #150301
Determine the E in each titrant volumes: 10.00 mL; 20.00 mL; and 30.00 mL, for the titration
of 20.0 mL of 0.100 M Fe^2+ with 0.100 M Ce^4+ in a matrix of 1 M HClO4.

In 1 M HClO4:
E^o (Fe^3+/Fe^2+) = +0.767 V
E^o (Ce^4+/Ce^3+) = +1.70 V
1
Expert's answer
2020-12-29T02:42:39-0500

Fe2++Ce4+Fe3++Ce3+Fe^{2+} + Ce^{4+} \to Fe^{3+} + Ce^{3+}


oxidation half reaction

Fe2+Fe3++eFe^{2+} \to Fe^{3+} + e^- Eo=0.767VE^o= -0.767 V

reduction half reaction

Ce4++eCe3+Ce^{4+} + e^- \to Ce^{3+} Eo=+1.70VE^o = +1.70 V


Potential after addition of 10.00 mL of Ce4+Ce^{4+}.

[Fe3+]=10×0.10020×0.100[Ce4+]=1/2[Fe^{3+}] =\dfrac{10 × 0.100}{20×0.100} - [Ce^{4+}]=1/2


[Fe2+]=(20×0.100)(10×0.100)30+[Ce4+]=1/30[Fe^{2+}] =\dfrac{(20×0.100)-(10 × 0.100)}{30} + [Ce^{4+}]= 1/30


Substitution into Nernst equation:

Esystem=0.7670.05921log1/301/2=E_{system} = 0.767 - \dfrac{0.0592}{1}log\dfrac{1/30}{1/2} = 0.837V


Eeq=ECe4+f+EFe3+f2=1.70+0.7672=1.234VE _{eq} = \dfrac{E^f_{Ce^{4+}} + E^f_{Fe^{3+}}}{2} = \dfrac{1.70+ 0.767}{2} = 1.234V


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