For the electrochemical cell, Mg(s)|Mg^(2+)(aq,1M)||Cu^(2+)(aq,1M)|Cu(s) standard emf of the cell is 2.70 V at 300K. When the concentration of Mg^(2+) is changed to x M, the cell potential changes to 2.67V at 300K. The value of x is_____ (Given, (F)/(R)=11500KV^(-1), where F is the Faraday constant and R is the gas constant, ln(10)=2.30)

For the electrochemical cell, Mg(s)|Mg^(2+)(aq,1M)||Cu^(2+)(aq,1M)|Cu

1.	For the electrochemical cell, Mg(s)\|Mg^(2+)(aq,1M)\|\|Cu^(2+)(aq,1M)\|Cu(s) standard emf of the cell is 2.70 V at 300K. When the concentration of Mg^(2+) is changed to x M, the cell potential changes to 2.67V at 300K. The value of x is_____ (Given, (F)/(R)=11500KV^(-1), where F is the Faraday constant and R is the gas constant, ln(10)=2.30)
Answer» Solution :`underset(E_(cell)^(o)=2.70)((10)MG(s)+)Cu^(2+)underset(E_(cell)=2.67)((aq)to)Mg^(2+)undersetunderset(Cu^(2+)=1M)(Mg^(2+)=xM)((aq)+Cu(s))` `E_(cell)=E_(cell)^(o)-(RT)/(nF)LN" "x` `2.67=2.70-(RT)/(2F)ln" "x` `-0.03=-(Rxx300)/(2F)xxln" "x` ln `x=(0.03xx2)/(300)xx(F)/(R)=(0.03xx2xx11500)/(300xx1)` ln `x=2.30=ln(10)impliesx=10`