For the cell Zn_{(s)} | Zn^{2+}_{(aq)} || M^{ | vedclass

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(A) The standard cell potential is given by $E^o_{cell} = E^o_{cathode} - E^o_{anode}$.Given $E^o_{Zn^{2+}/Zn} = -0.76 \ V$,the anode is $Zn$.We calcu

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$Ag^{+}/Ag$

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(A) The standard cell potential is given by $E^o_{cell} = E^o_{cathode} - E^o_{anode}$.Given $E^o_{Zn^{2+}/Zn} = -0.76 \ V$,the anode is $Zn$.We calculate $E^o_{cell}$ for each cathode:$1$. For $Au^{3+}/Au$ $(n=3)$: $E^o_{cell} = 1.40 - (-0.76) = 2.16 \ V$. Value per electron = $2.16 / 3 = 0.72 \ V$.$2$. For $Ag^{+}/Ag$ $(n=1)$: $E^o_{cell} = 0.80 - (-0.76) = 1.56 \ V$. Value per electron = $1.56 / 1 = 1.56 \ V$.$3$. For $Fe^{3+}/Fe^{2+}$ $(n=1)$: $E^o_{cell} = 0.77 - (-0.76) = 1.53 \ V$. Value per electron = $1.53 / 1 = 1.53 \ V$.$4$. For $Fe^{2+}/Fe$ $(n=2)$: $E^o_{cell} = -0.44 - (-0.76) = 0.32 \ V$. Value per electron = $0.32 / 2 = 0.16 \ V$.Comparing the values,$Ag^{+}/Ag$ gives the maximum value of $E^o_{cell}$ per electron transferred.

$M^{x+}_{(aq)} / M_{(s)}$	$Au^{3+}_{(aq)} / Au_{(s)}$	$Ag^{+}_{(aq)} / Ag_{(s)}$	$Fe^{3+}_{(aq)} / Fe^{2+}_{(aq)}$	$Fe^{2+}_{(aq)} / Fe_{(s)}$
$E^o M^{x+} / M (V)$	$1.40$	$0.80$	$0.77$	$-0.44$

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