The equilibrium constant for the reaction sr (s) + mg2 + (aq) ⇌ sr2 + (aq) + mg (s) is 3.69 * 1017 at 25°c. calculate e o for a cell made up of sr / sr2 + and mg / mg2 + half-cells.

We are going to use this formula:

E° = 0.0592 / n * ㏒K

when E° is the standard state cell potential

and n is number of moles of electrons transferred in the balanced equation

for the reaction of the cell.

Sr (s) + Mg2 + (aq) ↔ Sr2 + (aq) + Mg (s)

we can get it by using the given balanced equation, we here have 2 electrons

transferred so, n = 2

and K the equilibrium constant = 3.69 x 10^17

so, by substitution:

∴ E° = 0.0592 / 2 * ㏒ (3.69 x 10^17)

= 0.52 V