Solution: Calculate the standard potential, E°, for this reaction from its equilibrium constant at 298 K.X(s) + Y2+(aq) ⇌ X2+(aq) + Y(s)   K= 9.49 x 105

Problem

Calculate the standard potential, E°, for this reaction from its equilibrium constant at 298 K.

X(s) + Y2+(aq) ⇌ X2+(aq) + Y(s)   K= 9.49 x 105

Solution

We are asked to calculate for the standard potential (E°cell) of the reaction. We will use the Nernst Equation to calculate for the ratio. The Nernst Equation relates the concentrations of compounds and cell potential.

E°cell = cell potential, V
R = gas constant = 8.314 J/(mol
·K)
T = temperature, K
n = mole e- transferred
F = Faraday’s constant, 96485 C/mol e- 
K = equilibrium constant


Let’s first determine how many electrons were transferred in the reaction:

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