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Q. For the cell reaction $2 Ce^{4+}+Co \rightarrow 2 Ce^{3+}+Co^{3+} ; E^{\circ}_{cell}$ cell is $1.89\, V$. If $E_{Co^{2+}/Co}$ is $- 0.28 \,V$, what is the value of $E^{\circ} _{Ce^{4+}/Ce ^{3+} }$?

VITEEEVITEEE 2013

Solution:

$E_{\text {cell }}^{\circ}=E_{\text {ox }}^{\circ}+E_{\text {red }}^{\circ}=-E_{ Co / Co ^{2+}}^{\circ}+E_{ Ce ^{4+} / Ce ^{3+}}$
$1.89=-(-0.28)+E_{ Ce ^{4+} / Ce ^{3+}}^{\circ}$
$\therefore E_{ Ce ^{4+} / Ce ^{3+}}^{\circ}=1.89-0.28=1.61\, V$