Explanation:
Formula to calculate standard electrode potential is as follows.
     [tex]E^{o}_{cell} = E^{0}_{cathode} - E^{0}_{anode}[/tex]
               = 0.535 - 1.065
               = - 0.53 V
Also, it is known that relation between [tex]E^{o}_{cell}[/tex] and K is as follows.
      [tex]E^{o}_{cell} = \frac{RT}{nF} \times ln K[/tex]
         ln K = [tex]\frac{nFE^{0}_{cell}}{RT}[/tex]   Â
Substituting the given values into the above formula as follows.
         ln K = [tex]\frac{nFE^{0}_{cell}}{RT}[/tex]  Â
            =  [tex]\frac{2 \times 96485 C mol^{-1} \times -0.53 V}{8.314 l atm/mol K \times 298 K} \times \frac{1 J}{1 V C}[/tex] Â
        ln K = -41.28
          K = [tex]e^{-41.28}[/tex]  Â
            = [tex]1 \times 10^{-18}[/tex]
Thus, we can conclude that the value of the equilibrium constant for the given reaction is [tex]1 \times 10^{-18}[/tex]. Â Â Â