Question

The conversion of methane into products that contain two or more carbon atom, such as ethane, C2H2, is a very important industrial chemical process. In principle, methane can be converted directly into ethane and hydrogen.

(1) 2CH4(g) arrow.jpg C2H6(g) + H2(g)

In practice, however, this reaction is carried out in the presence of oxygen:

(2) 2CH4(g) + 1/2 O2(g) arrow.jpg C2H6(g) + H2O(g)

a) Using the thermodynamic data at 298K, determine ΔG° for each reaction.

ΔGf° (kJ/mol) ΔGf° (kJ/mol)
CH4(g) H2(g) 0
C2H6(g) H2O(g) -228.57
O2 0

ΔG°(1)=   ΔG°(2)=

b) Determine the equilibrium constant Kp for each reaction.

Kp(1)=. Kp(2)=

c) Using the info provided, what is the change in free energy ΔG° at 298K for the reaction

H2(g) + 1/2 O2(g)  arrow.jpg H2O(g)

Does this reaction favor the products or the reactants?

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