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Q.

If $Δ G^{0}$ for the half cell $M n O_{4}^{-} | M n O_{2}$ in an acid solution is $- x F$ ], then find the value x.

(Given : ${E^{0}}_{M n O_{4}^{-} | M n^{2 +}} = 1.5 V; {E^{0}}_{M n O_{2} | M n^{2 +}} = 1.25 V$ )

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answer is 5.

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Detailed Solution

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$\begin{array}{l} 4 H^{+} M n {O^{-}}_{4} + 3 e^{-} \overset{}{⇌} M n O_{2} + 2 H_{2} O \\ △ G^{0} = - 3 \times F \times (\frac{1.5 \times 5 - 2 \times 1.25}{3}) \\ = - 5 F; x = 5 \end{array}$

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