A catalytic converter promotes the reaction CO (g)+ 12 , O _2(g) CO _2(g) Inside the…

CHEMISTRY · Multi-part · AP · Chemistry · Thermochemistry · Thermochemistry

Problem

A catalytic converter promotes the reaction CO(g)+12 O2(g)⟶CO2(g)\text{CO}(g)+\tfrac12\,\text{O}_2(g)\longrightarrow \text{CO}_2(g) Inside the converter, the reaction proceeds through an adsorbed complex in which the C–O bond in CO weakens before a new C=O bond forms to produce CO2_2. Assume the overall transformation can be modeled in a single energetic step for calculation purposes. Average gas-phase bond energies (kJ mol−1^{-1}): C≡O (in CO) 1072, O=O 498, C=O (in CO2_2) 799. Because the reaction occurs on a catalyst surface, the effective C≡O bond energy in adsorbed CO is reduced by approximately 160 kJ mol−1^{-1} relative to the gas-phase value. (a) Using the adjusted bond energy for adsorbed CO, calculate the enthalpy change, ΔHrxn\Delta H_{rxn}, for the catalytic conversion on a per-mole basis as written. (b) The uncatalyzed gas-phase reaction has ΔHrxn=−283 kJ mol−1\Delta H_{rxn} = -283\,\text{kJ mol}^{-1}. Compare this value with your result from part (a) and discuss the thermodynamic effect, if any, of adsorption on ΔHrxn\Delta H_{rxn}. (c) Sketch a qualitative energy diagram for both the gas-phase and surface-catalyzed reactions on the same axes, indicating reactants, products, activation energy, and ΔHrxn\Delta H_{rxn} for each pathway. (d) Explain how the modification of the C≡O bond energy upon adsorption can alter the activation energy without significantly changing the overall ΔHrxn\Delta H_{rxn}, and relate this to the role of the catalyst.

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