An excess of liquid mercury is added to an acidified solution of 1.0×10−3 M Fe3+. It is found that 5 % of Fe3+ remains that the only reaction that occurs is:
2Hg+2Fe2+→Hg2+2+2Fe2+. (write your answer to nearest integer)
Given : E⊖Fe3+/Fe2+ = 0.77 V.
2Hg+2Fe3+→Hg2+2+2Fe2+
Fe3+ ion concentration originally = 10−3M
=5100×10−3=5×10−5M
Fe3+ converted into Fe2+ ion
= (1.0×10−3)−(5×10−5)=0.95×10−3
Hg2+2 ions at eq = 0.95×10−32
Ecell=E⊖cell−0.059nlog[Hg2+2][Fe2+]2][Fe3+]2
At equivalent, Ecell=0
∴0=E⊖−0.05912log0.95×10−32[0.95×10−3]2[5×10−5]2
E⊖cell=0.05912log[95]310−550=−0.0276
E⊖cell=E⊖Fe3+IFe2+−E⊖Hg2+2IHg
−0.0276=0.77−E⊖Hg2+2IHg
E⊖Hg2+IHg=0.77+0.0276
= 0.7976 V