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a)A half-cell that consists of a copper wire in 1.00 M CuNO 3 solution is connec

ID: 797459 • Letter: A

Question

a)A half-cell that consists of a copper wire in 1.00 M CuNO3 solution is connected by a salt bridge to a half cell containing a 1.00 M X(II) acetate solution and an electrode of metal X. The voltage of the cell is 1.77 V, with metal X as the positive electrode. Calculate the standard reduction potential for the X half-reaction. The standard reduction potential of the copper half-reaction is 0.52 V. (Hint, write the half-reactions and the overall chemical equation for the spontaneous reaction.)


b)
Calculate ?Go (in J) for 1 moles of electron(s) in each half-reaction and a standard potential of 0.35 V.


c)Calculate ?Go (in J) for 2 moles of electron(s) in each half-reaction and a standard potential of (-0.21) V.


d)Calculate Keq for 1 moles of electron(s) in each half-reaction and a standard potential of 0.54 V.


e)Calculate Keq for 2 moles of electron(s) in each half-reaction and a standard potential of (-0.54) V.

Explanation / Answer

1) E CELL=   E CATHODE   -E ANODE

   1.77= E CATHODE - 0.52

       E CATHODE= 1.77 + 0.52

                              = 2.29 V

2)

A) DELTA G= -nF E CELL


                  = -1* 96500 * 0.35   = - 33775 V


B) DELTA G= nF E CELL


                         =- 2*96500*(-0.24)   = 46320 J

C) log K=n*E CELL/0.059


      log K=1*0.54/0.059



    K= 1.4*10^-9

D) log k= n*E CELL/0.059


        log k= 2*(-0.54)/0.059


           k= 1.9*10^-19


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