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NEET CHEMISTRYMedium

For the cell reaction 2Fe3+(aq)+2I(aq)2Fe2+(aq)+I2(aq)2Fe^{3+} (aq) + 2I^- (aq) \rightarrow 2Fe^{2+} (aq) + I_2 (aq), Ecell=0.24 VE^{\ominus}_{cell} = 0.24 \text{ V} at 298 K. The standard Gibbs energy (ΔrG\Delta_r G^{\ominus}) of the cell reaction is : [Given that Faraday constant F=96500 C mol1F = 96500 \text{ C mol}^{-1}]

A

-46.32 kJ mol1^{-1}

B

-23.16 kJ mol1^{-1}

C

46.32 kJ mol1^{-1}

D

23.16 kJ mol1^{-1}

Step-by-Step Solution

ΔG=nFEcell=2×96500×0.24 J mol1=46320 J mol1=46.32 kJ mol1\Delta G^{\ominus} = -nF E^{\ominus}_{cell} = -2 \times 96500 \times 0.24 \text{ J mol}^{-1} = -46320 \text{ J mol}^{-1} = -46.32 \text{ kJ mol}^{-1}.

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