Question 13 Marks
In the button cells widely used in watches and other devices the following reaction takes place :
$Zn _{( s )}+ Ag _2 O _{( s )}+ H _2 O _{( l )} \rightarrow Zn _{( aq )}^{2+}+2 Ag _{( s )}+2 OH _{( aq )}^{-}$
Determine $\Delta_{ r } G ^{\circ}$ and $E ^{\circ}$ for the reaction.
$Zn _{( s )}+ Ag _2 O _{( s )}+ H _2 O _{( l )} \rightarrow Zn _{( aq )}^{2+}+2 Ag _{( s )}+2 OH _{( aq )}^{-}$
Determine $\Delta_{ r } G ^{\circ}$ and $E ^{\circ}$ for the reaction.
Answer
View full question & answer→Cell reaction :
$Zn ( s )+ Ag _2 O ( s )+ H _2 O ( l ) \rightarrow Zn ^{2+}( aq )+2 Ag ( s )+2 OH ^{-}( aq )$
From active part : $E _{ Zn ^{+2} / Zn }^{\circ}=-0.76 V \quad( n =2)$
$E _{ Ag ^{+} / Ag }=0.80 V$
In this cell, Zn is of anode and Ag works as cathode.
Hence,
$E _{ cell }^{\circ}= E _{ cathode }^{\circ}- E _{ anode }^{\circ}$
$E_{\text {cell }}^{\circ}=0.80-(-0.76)$
$E _{ cell }^{\circ}=1.56 V$
$\Delta_{ r } G ^{\circ}=- nFE E_{\text {cell }}^{\circ}$
$\Delta_{ r } G ^{\circ}=-2 \times 96500 \times 1.56$
$\Delta_{ r } G ^{\circ}=-301080 eV =-3.01 \times 10^5 J$
$Zn ( s )+ Ag _2 O ( s )+ H _2 O ( l ) \rightarrow Zn ^{2+}( aq )+2 Ag ( s )+2 OH ^{-}( aq )$
From active part : $E _{ Zn ^{+2} / Zn }^{\circ}=-0.76 V \quad( n =2)$
$E _{ Ag ^{+} / Ag }=0.80 V$
In this cell, Zn is of anode and Ag works as cathode.
Hence,
$E _{ cell }^{\circ}= E _{ cathode }^{\circ}- E _{ anode }^{\circ}$
$E_{\text {cell }}^{\circ}=0.80-(-0.76)$
$E _{ cell }^{\circ}=1.56 V$
$\Delta_{ r } G ^{\circ}=- nFE E_{\text {cell }}^{\circ}$
$\Delta_{ r } G ^{\circ}=-2 \times 96500 \times 1.56$
$\Delta_{ r } G ^{\circ}=-301080 eV =-3.01 \times 10^5 J$