At what pH does the potential (EMF) for the disproportionation of chlorine change from a negative va

Question

At what pH does the potential (EMF) for the disproportionation of chlorine change from a negative value to a positive value, assuming 1.0 bar pressure and 1.0 M concentration for all species except hydrogen ion?

Given: Cl₂ + 2e⁻ → 2Cl⁻; E° = 1.36 V

2OCl⁻ + 4H⁺ + 2e⁻ → Cl₂ + 2H₂O; E° = 1.63 V.

[2.303 RT/F = 0.06]

Accepted Answer

$Cl_{2} + H_{2}O ightleftharpoons Cl^{-} + ClO^{-} + 2H^{+}$$E_{cell}^{o} = 1.36 - 1.63 = - 0.27	ext{ V} $$${	ext{Now, }E_{cell} = E_{cell}^{o} - \frac{0.06}{1}{\log\left\lbrack H^{+} ightbrack}^{2} }{	ext{Or, 0 = } - 0.27 + \frac{0.06}{1} 	imes 2P^{H} = 2.25}$$

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