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Question: Given that $E_{Ni^{+2}/Ni}^{\circ}$=-0.25 V, $E_{Zn^{+2}/Zn}^{\circ}$=-0.76 V, $E_{Cu^{+2}/Cu}^{\cir...

Given that ENi+2/NiE_{Ni^{+2}/Ni}^{\circ}=-0.25 V, EZn+2/ZnE_{Zn^{+2}/Zn}^{\circ}=-0.76 V, ECu+2/CuE_{Cu^{+2}/Cu}^{\circ}=0.34 V, EAg+/AgE_{Ag^{+}/Ag}^{\circ}=0.80 V Which of the following redox processes will not take place in specified direction?

A

Ni2+Ni^{2+}(aq) + Cu(s)\rightarrow Ni(s) + Cu2+Cu^{2+} (aq)

B

Cu(s) + 2Ag+Ag^{+}(aq) \rightarrow Cu2+Cu^{2+}(aq) + 2Ag(s)

C

Cu(s) + 2H+H^{+}(aq) \rightarrow Cu2+Cu^{2+}(aq) + H2H_2(g)

D

Zn(s) + 2H+H^{+}(aq) \rightarrow Zn2+Zn^{2+}(aq) + H2H_2(g)

Answer

A) Ni2+Ni^{2+}(aq) + Cu(s)\rightarrow Ni(s) + Cu2+Cu^{2+} (aq) C) Cu(s) + 2H+H^{+}(aq) \rightarrow Cu2+Cu^{2+}(aq) + H2H_2(g)

Explanation

Solution

To determine if a redox reaction is spontaneous, calculate the standard cell potential (EcellE^\circ_{cell}) using Ecell=Ereduction,cathodeEreduction,anodeE^\circ_{cell} = E^\circ_{reduction, cathode} - E^\circ_{reduction, anode}. A positive EcellE^\circ_{cell} indicates a spontaneous reaction.

For A) Ni2+Ni^{2+} + Cu \rightarrow Ni + Cu2+Cu^{2+}, Ecell=ENi2+/NiECu2+/Cu=0.25 V0.34 V=0.59 VE^\circ_{cell} = E^\circ_{Ni^{2+}/Ni} - E^\circ_{Cu^{2+}/Cu} = -0.25 \text{ V} - 0.34 \text{ V} = -0.59 \text{ V}. (Not spontaneous)

For B) Cu + 2Ag+Ag^{+} \rightarrow Cu2+Cu^{2+} + 2Ag, Ecell=EAg+/AgECu2+/Cu=0.80 V0.34 V=+0.46 VE^\circ_{cell} = E^\circ_{Ag^{+}/Ag} - E^\circ_{Cu^{2+}/Cu} = 0.80 \text{ V} - 0.34 \text{ V} = +0.46 \text{ V}. (Spontaneous)

For C) Cu + 2H+H^{+} \rightarrow Cu2+Cu^{2+} + H2H_2, Ecell=EH+/H2ECu2+/Cu=0.00 V0.34 V=0.34 VE^\circ_{cell} = E^\circ_{H^{+}/H_2} - E^\circ_{Cu^{2+}/Cu} = 0.00 \text{ V} - 0.34 \text{ V} = -0.34 \text{ V}. (Not spontaneous)

For D) Zn + 2H+H^{+} \rightarrow Zn2+Zn^{2+} + H2H_2, Ecell=EH+/H2EZn2+/Zn=0.00 V(0.76 V)=+0.76 VE^\circ_{cell} = E^\circ_{H^{+}/H_2} - E^\circ_{Zn^{2+}/Zn} = 0.00 \text{ V} - (-0.76 \text{ V}) = +0.76 \text{ V}. (Spontaneous)

Reactions A and C have negative EcellE^\circ_{cell} and thus will not take place.