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Q.

For the following cell,
$Z n (s) | Z n S O_{4} (a q) | | C u S O_{4} (a q) | C u (s)$
When the concentration of $Z n^{2 +}$ is 10 times the concentration of $C u^{2 +}$ , the expression for $Δ G (i n J m o l^{- 1})$ is [F is Faraday constant; R is gas constant; T is temperature; $E^{0} (c e l l) = 1.1 V$ ]

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a

-2.2F

b

$2.303 R T + 1.1 F$

c

$2.303 R T - 2.2 F$

d

1.1F

answer is A.

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Detailed Solution

$\begin{array}{l} Δ G = Δ G^{0} + 2.303 R T \log Q \\ \begin{aligned} Δ G^{0} = - n F E^{0} \\ = & - 2 (F) (1.1) = - 2.2 F \\ 2.303 R T \log Q = & 2.303 R T \log \frac{[Z n^{2 +}]}{[C u^{2 +}]} \\ = & 2.303 R T \log 10 = 2.303 R T \\ ∴ Δ G^{\circ} & = 2.303 R T - 2.2 F \end{aligned} \end{array}$

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