The value of the equilibrium constant at 25°C = 6 x 10⁹
For the reaction,
At cathode : 2 Cl- + 2e - --------------> Cl₂ (g) ; E₀ = 1.36 V
At anode : Br₂ (l) ----------------> 2 Br- + 2e- ; E₀ = 1.07 V
E₀cell = E₀cathode - E₀anode
E₀cell = 1.36 - 1.07
= 0.29 V
ΔG₀ = - nF E₀
ΔG₀ = - 2 x 96485 x 0.29
= - 55.96 kJ/mol
ΔG₀ = - RT ln K
- 55.96 = - 8.314 x 10⁻³ x 298 x ln K
or, K= 6 x 10⁹
Therefore, the equilibrium constant at 25°C = 6 x 10⁹.
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