How are `DeltaG^@, E^@(cell)` and equilibrium constant related for a particular reaction?

Explain unit of equilibrium constant .

Why is equilibrium constant related to E^@ cell and not to E_(cell) ?

Derive the relationship between standard cell potential and equilibrium constant of cell reaction.

Calculate standard Gibbs energy change and equilibrium constant at 25^@C for the cell reaction, Cd (s) + Sn^(2o+) (aq) rarr Cd^(2o+) (aq) + Sn (s) Given : E_(Cd)^@ = -0.403V and E_(Sn)^@ = -0.136 V . Write formula of the cell.

Write characterstics of equilibrium constant.

Calculate E_(cell)^@, DeltaG^@ and equilibrium constant for the reaction : 2Cu_((aq))^+ rarr Cu_((aq))^(2+)+ Cu_((s)) E_(Cu+//Cu)^@=0.52V and E_(Cu+/Cu)^@=0.16V

Calculate the standard cell potentials of galvanic cell in which the following reactions take place 2Cr_((s)) + 3Cd_((aq))^(2+)rarr 2Cr_(aq)^(3+) + 3Cd E_(Cr)^@ = -0.740 V, E_(Cd)^@ = -0.403 V, Calculate the Delta_rG^@ and equilibrium constant of the reactions.

Mention various applications of equilibrium constant