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The cell in which the following reactions occurs: 2Fe^3+(aq) + 2I^-(aq) → 2Fe^2+(aq) + I2(s) has Eocell = 0.236 V at 298 K. Calculate the standard Gibbs energy and the equilibrium constant of the cell reaction.

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The cell in which the following reactions occurs:

2Fe3+(aq) + 2I-(aq) → 2Fe2+(aq) + I2(s) has Eocell = 0.236 V at 298 K.

Calculate the standard Gibbs energy and the equilibrium constant of the cell reaction.

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Here, n = 2,Eocell = 0.236 V, T = 298 K

We know that:

ΔrG = -nFEcell

= 2 × 96487 × 0.236

= -45541.864 J mol-1

= -45.54 kJ mol-1

Again, ΔrG = -2.303 RTlog Kc

⇒ log Kc = \(\frac{Δ_rG^⊖}{2.303 \ RT}\)

= - \(\frac{-45.54 \times 10^3}{2.303 \times 8.314 \times 298}\)

= 7.981

∴ Kc = Antilog (7.981)

= 9.57 × 107

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