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Chemistry Question on Galvanic Cells

For the cell reaction 2Ce4++Co2Ce3++Co3+;Ecell2 Ce^{4+}+Co \rightarrow 2 Ce^{3+}+Co^{3+} ; E^{\circ}_{cell} cell is 1.89V1.89\, V. If ECo2+/CoE_{Co^{2+}/Co} is 0.28V- 0.28 \,V, what is the value of ECe4+/Ce3+E^{\circ} _{Ce^{4+}/Ce ^{3+} }?

A

0.28 V

B

1.61 V

C

2.17 V

D

5.29 V

Answer

1.61 V

Explanation

Solution

Ecell =Eox +Ered =ECo/Co2++ECe4+/Ce3+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)+ECe4+/Ce3+1.89=-(-0.28)+E_{ Ce ^{4+} / Ce ^{3+}}^{\circ} ECe4+/Ce3+=1.890.28=1.61V\therefore E_{ Ce ^{4+} / Ce ^{3+}}^{\circ}=1.89-0.28=1.61\, V