The most important commercial process for generating hydrogen gas is the water-gas shift reaction:. CH4 (g) + H2O (g) → CO (g) + 3H2 (g). Use tabulated thermodynamic data to find ΔG° for this reaction at the standard temperature of 25°C. i found this to be. = 1.423*102 kJ. Now calculate ΔG°1200 for this process when it occurs at 1200 K

The Gibb's free energy at a certain temperature is calculated through the equation,

ΔG = - RT (ln K)

where K is constant. Substituting the values from the first set of the given,

1.423x10^2 = - (8.314) (25 + 273) x (ln K)

Solving for the value of K gives us an answer of, K = 0.94418

Use the same equation to get the value of ΔG°1200

ΔG = - (8.314) (1200) x (ln 0.94418)

The value of ΔG°1200 is approximately 573.05 kJ

The Gibb's free energy at a certain temperature is calculated by using the equation,

ΔG = - RT (ln K)

where K is the constant. We calculate this value by using the first conditions,

1.423x10^2 = - (8.314) (25 + 273) x (ln K)

Solving for K,

K = 0.94418

Use the equation for the second set of conditions,

ΔG = - (8.314) (1200) x (ln 0.94418)

ΔG° at 1200 K is approximately 573.05 kJ