Question

A battery is constructed based on the oxidation of magnesium and the reduction of Cu2+. The initial concentrations of Mg2+ and Cu2+ are 1.0×10−4 M and 1.6 M , respectively, in 1.0-liter half-cells.
What is the initial voltage of the battery?

Answer 1

Answer:

2.59 V

Explanation:

Equation of the reaction:

Mg(s) + Cu^2+(aq) ------------> Mg^2+(aq) + Cu(s)

From Nernst Equation

E= E°-0.0592/n log [Red]/ [Ox]

E°= 0.34- (-2.37)= 2.71

E= 2.71 - 0.0592/2 log [1.6]/ [1×10^-4]

E= 2.71 - 0.12

E= 2.59 V