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$E_{red}^{0}$ (standard reduction potential) of different half-cells are given, $E_{{Cu}^{+ 2} / Cu}^{0} = + 0.34 V$
$E_{{Zn}^{+ 2} / Zn}^{0} = - 0.76 V, E_{{Ag}^{+} / Ag}^{0} = 0.80 V, E_{{Mg}^{2 +} / Mg}^{0} = - 2.37 V$ In which cell ${ΔG}^{o}$ is most negative ?

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$Ag / {Ag}^{+} (1 M) / / {Mg}^{+ 2} (1 M) / Mg$

$Zn / {Zn}^{2 +} (1 M) / / {Mg}^{2 +} (1 M) / Mg$

$Cu / {Cu}^{2 +} (1 M) / / {Ag}^{+} (1 M) / Ag$

$Zn / {Zn}^{2 +} (1 M) / / {Ag}^{+} (1 M) / Ag$

answer is B.

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Detailed Solution

${ΔG}^{0} = - ve \Rightarrow E_{cell}^{0} = + ve$
$a) wrong (E_{cell}^{0} = - ve)$
$b) E_{cell}^{0} = 0.80 + 0.76 = 1.56 V$
$c) E_{cell}^{0} = 0.80 - 0.34 = 0.46 V$
$d) wrong (E_{cell}^{0} = - ve)$

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