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NEET CHEMISTRYMedium

Two half cell reactions are given below: Co3++eCo2+ ;\ECo2+/Co3+=1.81 VCo^{3+} + e^- \rightarrow Co^{2+} \ ; \E^{\circ}_{Co^{2+}/Co^{3+}} = -1.81\text{ V} 2Al3++6e2Al(s) ;\EAl/Al3+=+1.66 V2Al^{3+} + 6e^- \rightarrow 2Al(s) \ ; \E^{\circ}_{Al/Al^{3+}} = +1.66\text{ V} The standard EMF of a cell with feasible redox reaction will be:

A

+7.09 V

B

+0.15 V

C

+3.47 V

D

–3.47 V

Step-by-Step Solution

For a feasible cell reaction, the standard cell potential (EcellE^{\circ}_{cell}) must be positive. The given potentials are standard oxidation potentials (as inferred from the subscript notation): ECo2+/Co3+=1.81 VE^{\circ}_{Co^{2+}/Co^{3+}} = -1.81\text{ V}, so the standard reduction potential is ECo3+/Co2+=+1.81 VE^{\circ}_{Co^{3+}/Co^{2+}} = +1.81\text{ V}. EAl/Al3+=+1.66 VE^{\circ}_{Al/Al^{3+}} = +1.66\text{ V}, so the standard reduction potential is EAl3+/Al=1.66 VE^{\circ}_{Al^{3+}/Al} = -1.66\text{ V}. Since ECo3+/Co2+>EAl3+/AlE^{\circ}_{Co^{3+}/Co^{2+}} > E^{\circ}_{Al^{3+}/Al}, the Co3+/Co2+Co^{3+}/Co^{2+} half-cell has a higher tendency to get reduced and will act as the cathode, while the Al/Al3+Al/Al^{3+} half-cell will act as the anode. The standard EMF of the cell is: Ecell=EcathodeEanodeE^{\circ}_{cell} = E^{\circ}_{cathode} - E^{\circ}_{anode} Ecell=1.81 V(1.66 V)=1.81+1.66=+3.47 VE^{\circ}_{cell} = 1.81\text{ V} - (-1.66\text{ V}) = 1.81 + 1.66 = +3.47\text{ V}

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