The standard reduction potential for $$Zn2+/Zn$$,$$Ni2+/Ni$$ and $$Fe2+/Fe$$ are −$$0.76$$,−$$0.23and$$ $$-0.44$$ V respectively. The reaction $$X+Y2+$$⟶$$X2++Y$$ will be spontaneous if

Question

The standard reduction potential for $$Zn2+/Zn$$,$$Ni2+/Ni$$ and $$Fe2+/Fe$$ are −$$0.76$$,−$$0.23and$$ $$-0.44$$ V respectively. The reaction $$X+Y2+$$⟶$$X2++Y$$ will be spontaneous if

Infinity Learn · Accepted Answer

A cell reaction is spontaneous, if ΔG∘<$$0Since$$,     ΔG∘$$=$$−nFcell ∘Thus,    Ecell∘>$$0$$           Ecell ∘$$=Eoxi$$ ∘$$+ERed$$∘                (a) X $$=$$ Ni,  Y $$=$$ Fe       $$Ni+Fe2+$$⟶$$Ni2++Fe$$      $$ENi/Ni2+o=0.23$$ VE∘$$Fe2+/Fe=$$−$$0.44$$ V   Thus,  Ecell ∘$$=ENi/Ni2+$$∘$$+EFe2+/Fe$$∘                     $$=-0.21$$ V Ecell ∘<$$0$$,reaction is $$non-spontaneous$$.(b) X $$=$$ Ni, Y $$=$$ Zn,     $$Ni+Zn2+$$⟶$$Ni2++Zn$$    $$ENi/Ni2+=0.23V$$,$$EZn2+/Zn$$∘$$=$$−$$0.76V$$         Ecell ∘$$=$$−$$0.53V$$    Ecell α<$$0$$ reaction is $$non-$$ spontaneous.(c$$ $$) $$X=Fe$$,$$Y=Zn$$,$$Fe+Zn2+$$⟶$$Fe2++Zn$$      Ecell ∘$$=EFe/Fe2+$$∘$$+EZn2+/Zn$$∘$$=0.44$$−$$0.76=$$−$$0.32V$$     Ecell ∘<$$0$$, reaction is $$non-$$ spontaneous.(d) $$X=Zn$$,$$Y=Ni$$     $$Zn+Ni2+$$⟶$$Zn2++Ni$$      Ecell ∘$$=EZn/Zn2+$$∘$$+ENi2+/Ni$$∘$$=0.76$$−$$0.23=0.53V$$    The reaction is spontaneous.

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