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Question

Chemistry Question on Electrochemistry

The standard reduction potential EoE^{o} for the half reactions are as: ZnZn2++2e,Eo=0.76VZ n \rightarrow Z n^{2+}+2 e^{-}, E^{o}=0.76\, V CuCu2++2e,Eo=0.34VC u \rightarrow C u^{2+}+2 e^{-}, E^{o}=0.34\, V The emf for the cell reaction: Zn+Cu2+Zn2+CuZ n+C u^{2+} \rightarrow Z n^{2}+C u

A

0.42V0.42\,V

B

0.42V-0.42\,\,V

C

1.1V-1.1\,V

D

1.1V1.1\,V

Answer

0.42V0.42\,V

Explanation

Solution

(i)Decide cathode and anode
(ii) Ecello=EoCEoAE_{c e l l}^{o}=E^{o}{ }_{C}-E^{o}{ }_{A} of electrode potential are substituted in terms of reduction potential.
Given, EZn/Zn2+o=0.76VE_{Z n / Z n^{2+}}^{o}=0.76 \,V
ECu/Cu2+o=0.34VE_{C u / C u^{2+}}^{o}=0.34 \,V
Zn\therefore Zn is anode ( \because it has higher oxidation potential)
EZn2+/Zno=0.76V\therefore E_{Z n^{2+} / Z n}^{o}=-0.76\, V
and ECu2+/Cuo=0.34VE_{C u^{2+} / C u}^{o}=-0.34\, V
Ecello=EoCEoAE_{c e l l}^{o}=E^{o}{ }_{C}-E^{o}{ }_{A}
=0.34V(0.76V)=-0.34\, V-(-0.76\, V)
=0.34V+0.76V=0.34\, V+0.76\, V
=0.42V=0.42 \,V