The reaction has been investigated at 298 K

CHEMISTRY · Multi-part · AP · Chemistry · Kinetics · Kinetics

Problem

The reaction A→B\text{A} \rightarrow \text{B} has been investigated at 298 K. The following energetic data were obtained from calorimetric and spectroscopic studies: • Standard free energy of reactants: GA∘=0 kJ mol−1G^{\circ}_{\text{A}} = 0\,\text{kJ mol}^{-1} (reference) • Standard free energy of the transition state: G‡∘=155 kJ mol−1G^{\circ}_{\ddagger} = 155\,\text{kJ mol}^{-1} • Standard free energy of products: GB∘=−25 kJ mol−1G^{\circ}_{\text{B}} = -25\,\text{kJ mol}^{-1} (a) Using the numerical values provided, sketch a qualitatively accurate reaction coordinate diagram for the process at 298 K. Clearly label the axes, the positions of reactants, transition state, and products, and indicate the magnitudes (with numerical values) of both the activation energy and the standard free-energy change. (b) Determine the value of the activation energy and the value of ΔG298∘\Delta G^{\circ}_{298} for the reaction, showing your reasoning. (c) Explain whether this reaction is more likely to be limited by thermodynamic or kinetic factors at 298 K, and justify your conclusion using the quantities from part (b).

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