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Q.

Which of the following statements is/are incorrect?

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a

Electrical work done in one second is equal to electrical potential multiplied by total charge passed

b

Charge has to be passed reversibly in order to obtain the maximum work from Galvanic cell

c

The reversible work done by Galvanic cell is equal to decrease in its Gibbs energy

d

$ΔG = - {nE}_{cell}$

answer is A.

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Detailed Solution

The standard free energy ( $∆ G^{o}$ ) is related to standard electrode potential ( $E^{o}$ ) and equilibrium constant as
${ΔG}^{\circ} = - {nFE}^{\circ}$ and ${ΔG}^{\circ} = - {RTlog}_{e} K_{eq}$
$Thus, if E_{cell}^{\circ} is - ve, then {ΔG}^{\circ} is + ve, i . e ., {ΔG}^{\circ} > 0 .$
Hence, $K_{eq}$ would be negative and less than 1, $K_{eq} < 1$ .

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