For the cell reaction, Mg(s)+2Ag+(aq.)⇌Mg2+(aq.)+2Ag(s) E∘cell is +3.17V at 298K. The value of Ecell,△G∘ and Q at Ag+ and Mg2+ concentrations of 0.001M and 0.02M respectively are:
A
3.04V,−605.8kJmol−1,20000
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B
3.04V,611.8kJmol−1,20000
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C
3.13V,−604kJmol−1,20
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D
3.04V,−611.8kJ,20000
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Solution
The correct option is D3.04V,−611.8kJ,20000 E∘=+3.17V,n=2 Q=[Mg2+][Ag+]2=0.02[0.001]2=20000 △G∘=−nFE∘ =−2×96500×3.17 =−611.8kJ E=E∘−0.059nlog10Q =3.17−0.0592log(20000) =+3.04V.