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NEET CHEMISTRYMedium

The correct value of cell potential in volts for the reaction that occurs when the following two half cells are connected, is: Fe2+(aq)+2eFe(s) ;\E=0.44 VFe^{2+}(aq) + 2e^- \rightarrow Fe(s) \ ; \E^{\circ} = -0.44\text{ V} Cr2O72(aq)+14H++6e2Cr3++7H2O ;\E=+1.33 VCr_2O_7^{2-}(aq) + 14H^+ + 6e^- \rightarrow 2Cr^{3+} + 7H_2O \ ; \E^{\circ} = +1.33\text{ V}

A

+1.77 V

B

+2.65 V

C

+0.01 V

D

+0.89 V

Step-by-Step Solution

To determine the correct cell potential (EcellE^{\circ}_{cell}), we identify the cathode and the anode based on their standard reduction potentials (EE^{\circ}). The half-cell with the higher standard reduction potential will undergo reduction and act as the cathode. The half-cell with the lower standard reduction potential will undergo oxidation and act as the anode. Given: ECr2O72/Cr3+=+1.33 VE^{\circ}_{Cr_2O_7^{2-}/Cr^{3+}} = +1.33\text{ V} (Cathode) EFe2+/Fe=0.44 VE^{\circ}_{Fe^{2+}/Fe} = -0.44\text{ V} (Anode)

The standard cell potential is calculated as: Ecell=EcathodeEanodeE^{\circ}_{cell} = E^{\circ}_{cathode} - E^{\circ}_{anode} Ecell=1.33 V(0.44 V)E^{\circ}_{cell} = 1.33\text{ V} - (-0.44\text{ V}) Ecell=1.33+0.44=+1.77 VE^{\circ}_{cell} = 1.33 + 0.44 = +1.77\text{ V}

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