A concentration cell is constructed using two metal (M) electrodes with M2+ concentrations of 0.10 M and 1.00 × 10–5 M in the two half-cells. Determine the reduction potential of M2+ given that the potential of the cell at 25°C is

a. 0.118 V.
b. Cannot be determined with the information given.
c.–0.118 V
d. 0 V
e. +0.118 V
f. None of these choices are correct.

Respuesta :

Answer:

The answer is: d. 0 V

Explanation:

The reactions are:

M⁺² + 2e⁻ = M

M = M⁺² + 2e⁻

According the Nernst expression:

[tex]E_{cell} =E_{o,cell} -\frac{0.059}{n} log\frac{[Red]}{[O*d]}[/tex]

Where

n = 2

Ecell = 0.118 V

[Red] = 1x10⁻⁵M

[O*d] = 0.1 M

Clearing Eo,cell:

[tex]E_{o,cell} =E_{cell} +\frac{0.059}{n} log\frac{[Red]}{[O*d]}=0.118+\frac{0.059}{2} log\frac{1x10^{-5} }{0.1} =0.118-0.118=0V[/tex]