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The standard e.m.f. of the cell Zn(s)+Cu^(2+)(aq)toZn^(2+)(aq)+Cu(s) is 1.10 V Calculate (i) the standard free energy change, (ii) the equilibrium constant K_(e). |
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Answer» Solution :Standarde.m.f. of cell is : `E_("cell")^(@)=1.10V` (i) `DeltaG^(@)=~nFE_("cell")^(@)` `=-(2mol)XX(96500 C mol^(-1))xx(1.10V)` `=-212300CV""("":.1CV=1J)` `=-212300J` or `=-212.3kJ` (II) `DeltaG^(@)=-RTlnK_(c)` or `DeltaG^(@)=-RTxx2.303logK_(c)` or `logK_(c)=(DeltaG^(@))/(2.303RT)` `R=8.314J,T=298K`, `DeltaG^(@)=-212.3xx10^(3)J` `:.logK_(c)=(-212300)/(-2.303xx298xx8.314)` =37.207 `:.K_(c)=1.64xx10^(37)` |
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