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Table 1. Half-cells Mg (anode) Cu (anode) Zn (anode) Al (anode) Mg (cathode) ***

ID: 522590 • Letter: T

Question

Table 1.

Half-cells

Mg (anode)

Cu (anode)

Zn (anode)

Al (anode)

Mg (cathode)

*****

      875

Cu (cathode)

     1460

*****

      840

       570

Zn (cathode)

*****

Al (cathode)

      850

      260

*****

2. Use the data above to fill in the following table (show all calculations for G and Keq):

Table 2.

Balanced Net reaction

G

Keq

#1 Highest

positive voltage

#2 Highest

positive voltage

#3 Highest

positive voltage

Lowest

positive

voltage

Half-cells

Mg (anode)

Cu (anode)

Zn (anode)

Al (anode)

Mg (cathode)

*****

      875

Cu (cathode)

     1460

*****

      840

       570

Zn (cathode)

*****

Al (cathode)

      850

      260

*****

Explanation / Answer

1) Magnesium can not be cathode in this combination, it only can be anode. so all values are = zero

2) Mg+ Cu+2 ---------------> Mg+2 + Cu

    delta G (free energy change) = - nFE

                                                  = - 2x 96500 x 1450 = - 281780000 J / mole = - 281780 kj/mole

calculation of Kc

delta G (free energy change)   = - 2.303 x RT logKc

                                          log Kc = - delta G / 2.303 x RT = - 281780/ 2.303 x 0.8314 KJ/Kelv. mol x273

                                                                           logKc          = 2.303 x 0.8314 x 273/ 281780

                                                                                         Kc =   4.7622 x 10-28

        3) here ZINC CAN BE CATHODE AND Mg CAN BE ANODE BUT VALUES ARE NOT SERVED.

4) This equation is calculated for highest possible potential only , the given combinations are not possible for lowest potentials.

3 Mg+ 2Al+3 ---------------> 3Mg+2 + 2Al

    delta G (free energy change) = - nFE

                                                  = - 6x 96500 x 850 = - 492150000 J / mole = - 492150kj/mole

log Kc = - delta G / 2.303 x RT = - 492150kj/ 2.303 x 0.8314 KJ/Kelv. mol x273K

                                                                           logKc          = 2.303 x 0.8314 x 273/ 492150kj

                                                                                       Kc         = 1.8249 x 10 -30

                                                                                                                                            

                                                                                           

please note that the table data given is not quite clear, the units of the digits given in the table are not mentioned