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Question

The equilibrium constant for the reaction
Sr(s)+Mg+2(aq)Sr+2(aq)+Mg(s) is 4×1012 at 25oC
The Eo for a cell made up of the Sr|Sr+2 and Mg+2|Mg half cells (log 2=0.3)

A
0.3717V
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B
0.7434V
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C
0.1858V
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D
0.135V
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Solution

The correct option is A 0.3717V
Sr(s)+Mg2+Sr2++Mg(s)
n=2
At equilibrium, Ecell=0
Thus,
Ecell=EocellRTln[Sr2+][Mg2+]Ecell=EocellRTnflnKeq0=EocellRTnflnKeqEocell=RTnflnKeq=0.05912log(4×1012)=0.3717V

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