Calculate the standard free energy change for the following reaction occurring in the galvanic cell at 298 K.
`3Mg(s)+2Al^(3+)(aq)rarr3Mg^(2+)(aq)+2Al(s)`
Given : `E_(Mg^(2+)//Mg)^@=-2.37V` and `E_(Al^(3+)//Al)=-1.66 V`

(a) Write the equations for the reactions taking place at anode and cathode in the lead-storage battery. Calculate the value of DeltarG^(0) at 298 K for the cell reaction. 3Mg_(s) + 2Al^(3+)_(aq) to 3Mg^(2+)_(aq) + 2Al_(s) [Given , E_(mg)^(0) = -2.36V, E_(Al)^(0) = -1.66V and F = 96487 C]

Calculate e.m.f. of the cell for the reaction: Mg_(s)+Cu^(2+)(0.0001M)rarrMg^(2+)(0.001M)+Cu_(s) Given that: E_((Mg^(2+)//Mg))^@ =-2.37V E_((Mg^(2+)//Mg))^@ =+0.34 V

The following reaction is an example of: Fe_2O_3+2Al to Al_2O_3+2Fe

Write the nernst equation and calculate the emf of the following cell at 298K. Mg(s)//Mg^(+2)(0.001m)////Cu^(+2)(0.0001M)//Cu(s) Given E^(@)Mg^(+2)//Mg=-2.36V and E^(@)Cu^(+2)//Cu=+0.34 V.

Calculate e.m.f. of cell for the reaction : Mg_((s))+Cu^(2+)"(0.0001 M)"rarr Mg^(2+)"(0.001 M)"+Cu_((s)) Given that : E_(Mg^(2+)//Mg)^(@)=-2.37V E_(Cu^(2+)//Cu)^(@)=+0.34V

Answer any three of the following questions. b. Calculate the value of Delta r G^(0) at 298K for the cell reaction 3Mg(s) + 2AI^(+3) to 3Mg^(+) (aq) + 2AI(s)