In the Haber process, ammonia is synthesized from nitrogen and hydrogen: N₂ (g) + 3H₂ (g) → 2NH₃ (g)
ΔG° at 298 K for this reaction is -33.3 kJ/mol. The value of ΔG at 298 K for a reaction mixture that consists of 1.9 atm N₂, 2.3 atm H₂, and 0.85 atm NH₃ is ________.

Question

Quizplus · Accepted Answer

The Gibbs free energy change for the reaction under non-standard conditions can be calculated using the equation ΔG = ΔG° + RT ln(Q), where Q is the reaction quotient. Substituting the given values into this equation yields ΔG = -33.3 kJ/mol + (8.314 J/mol·K)(298 K) ln((0.85)^2 / (1.9)(2.3)^3), which results in approximately -41.9 kJ/mol.

In the Haber Process, Ammonia Is Synthesized from Nitrogen and Hydrogen