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At 298 K, the standard electrode potentials of Cu2+/CuCu^{2+}/Cu, Zn2+/ZnZn^{2+}/Zn, Fe2+/FeFe^{2+}/Fe and Ag+/AgAg^{+}/Ag are 0.34 V, -0.76 V, -0.44 V and 0.80 V, respectively. On the basis of standard electrode potential, predict which of the following reaction cannot occur?

A

CuSO4(aq)+Zn(s)ZnSO4(aq)+Cu(s)CuSO_4(aq) + Zn(s) \rightarrow ZnSO_4(aq) + Cu(s)

B

CuSO4(aq)+Fe(s)FeSO4(aq)+Cu(s)CuSO_4(aq) + Fe(s) \rightarrow FeSO_4(aq) + Cu(s)

C

FeSO4(aq)+Zn(s)ZnSO4(aq)+Fe(s)FeSO_4(aq) + Zn(s) \rightarrow ZnSO_4(aq) + Fe(s)

D

2CuSO4(aq)+2Ag(s)2Cu(s)+Ag2SO4(aq)2CuSO_4(aq) + 2Ag(s) \rightarrow 2Cu(s) + Ag_2SO_4(aq)

Step-by-Step Solution

For a reaction to be spontaneous, EcellE^{\circ}_{cell} must be positive. For 2CuSO4(aq)+2Ag(s)2Cu(s)+Ag2SO4(aq)2CuSO_4(aq) + 2Ag(s) \rightarrow 2Cu(s) + Ag_2SO_4(aq), Ecell=EcathodeEanode=0.34V0.80V=0.46VE^{\circ}_{cell} = E^{\circ}_{cathode} - E^{\circ}_{anode} = 0.34 V - 0.80 V = -0.46 V. Since EcellE^{\circ}_{cell} is negative, the reaction cannot occur.

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