The conversion S(g) → T(g) is an elementary, reversible reaction used in a large-scale synthesis.
Uncatalyzed pathway:
• Ea,fwd=125kJ mol−1
• ΔE=−60kJ mol−1
A heterogeneous catalyst provides an alternative pathway in which the forward activation energy is lowered by 40 kJ mol−1. Engineers operate the reactor at 550 K with the catalyst in place.
(a) Determine the activation energy for the reverse reaction in both the uncatalyzed and catalyzed pathways.
(b) Sketch comparative energy profiles for the uncatalyzed and catalyzed pathways on a single set of axes, clearly labeling all relevant energy differences.
(c) Explain whether the catalyst changes the overall energy change ΔE and the equilibrium constant for the reaction.
(d) Discuss, with quantitative reference to the activation energies and ΔE, how combining a catalyst with elevated temperature helps maximize both the production rate and the equilibrium yield of T in the industrial process.