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The following electrodes and solutions are available for an experiment at 25 deg

ID: 1019118 • Letter: T

Question

The following electrodes and solutions are available for an experiment at 25 degree C. Al, Zn, KNO_3 (0.1 M), Al(NO_3)_3 (1.0 M), and Mn(NO_3)_2 (1.0 M) Complete the following for a ELECTROLYTIC cell: This reaction is not spontaneous because E degree is Delta G is and K is The equilibrium lies with the Calculate the new E_cell if 0.1 M Al(NO_3)_3 was used (all other parameters remain the same). Calculate the new E_cell if 2.0 M Al(NO_3)_3 was used (all other parameters remain the same). Generalizations for the Nernst Equation:If the concentration of the products decrease in a electrolytic cell, E If the concentration of the products increase in a electrolytic cell, E

Explanation / Answer

2.

Anode = Al3+/Al / Half-cell reaction : Al ---> Al3+ + 3e-

Cathode = Zn2+/Zn / Half-cell reaction : Zn2+ + 2e- ---> Zn

Balanced cell equation : 2Al + 3Zn2+ ---> 2Al3+ + 3Zn

Cell diagram : Al(s) | Al(NO3)3 (1.0 M) || Zn(NO3)2 (1.0 M) | Zn

Eo = -0.763 - (-1.66) = 0.897 V

dGo = -nFEo = -6 x 96485 x 0.897 = -519.28 kJ

K = inv.ln(519282.3/8.314 x 298) = 1.06 x 10^91

This reaction is spontaneous because, Eo is +ve, dGo is -ve, K is large. The equilibrium lies with the products.

When, Al(NO3)3 = 0.1 M

Ecell = 0.897 - 0.0592/6 log(0.1^2/1^3) = 0.917 V

If Al(NO3)3 = 2.0 M

Ecell = 0.897 - 0.0592/6 log(2^2/1^3) = 0.891 V

Generalisation of Nernst equation,

If concentration of reactants decreases in the cell, E = low

If concentration of reactant increase in a cell, E = large

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