Ammonia is a molecule essential to life on earth. At this time, ammonia is synth

Question

Ammonia is a molecule essential to life on earth. At this time, ammonia is synthesized from atmospheric nitrogen by the very efficient, FeS-containing nitrogenase enzyme. Before this enzyme evolved, it is believed that ammonia may have been produced with the inorganic material, FeS, in the reaction shown below.

(a) Determine ?G for this reaction at room temperature(25

Ammonia is a molecule essential to life on earth. At this time, ammonia is synthesized from atmospheric nitrogen by the very efficient, FeS-containing nitrogenase enzyme. Before this enzyme evolved, it is believed that ammonia may have been produced with the inorganic material, FeS, in the reaction shown below. N2 + 3 H2S + 3 FeS rightleftharpoons 2 NH3 + 3 FeS2 (a) Determine ?G for this reaction at room temperature(25 degree C). kJ/mol (b) Determine the cell potential, E degreeV (c) Determine the equilibrium constant.

Explanation / Answer

N2 + 3 H2S + 3 FeS ---> 2 NH3 + 3 FeS2

a)

dGo rxn = dGo products - dGo reactants

dGo rxn = 2 x dGo NH3 + 3 x dGo FeS2 - dGo N2 - 3 x dGo H2S - 3 x dGo FeS

dGo rxn = - ( 2 x 16.4 ) - ( 3 x 166.9 ) -0 + ( 3 x 33.4 ) + ( 3 x 100.4)

dGo rxn = -132.1 kJ

b)

we know that

dGo = -nFEo

-132.1 x 1000 = - 6 x 96485 x Eo

Eo = 0.228 V

the cell potential is 0.228 V

C) we know that

dGo = -RT lnK

-132.1 x 1000 = -8.314 x 298 x lnK

K = 1.43 x 10^23

so the equilibrium constant is 1.43 x 10^23

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