MX is a sparingly soluble salt that follows the given solubility equilibrium at 298 K. MX ( s ) M ⁺( aq )+ X ⁻( aq ) ; K _ sp =10⁻¹⁰ If the standard reduction potential for M ⁺( aq ) + e ⁻ M ( s ) is ( E _ M ⁺ / M ^ )=0.79 ~V , then the value of the standard reduction potential for the metal/metal insoluble salt electrode E _ X ⁻ / MX ( s ) / M ^ is _ _ _ _ mV. (nearest integer) [Given : 2.303 RT F =0.059 ~V ]

Step-by-step solution

The standard reduction potential for a metal/metal insoluble salt electrode is related to the standard reduction potential of the metal ion and the solubility product K_ sp of the salt. The half-cell reaction for the X^-/MX(s)/M electrode is: MX(s) + e^- M(s) + X^-(aq) . This can be viewed as a combination of two processes: 1. MX(s) M^+(aq) + X^-(aq) with equilibrium constant K_ sp = 10⁻¹⁰ 2. M^+(aq) + e^- M(s) with E^ _ M^+/M = 0.79 V The relation between the standard potentials is given by: E^ _ X^-/MX/M = E^ _ M