AP Chemistry
5.6 Reaction Energy Profile
5.5 Collision Model
5.2 Introduction to Rate Law
5.1 Reaction Rates
A student investigates two elementary bimolecular gas-phase reactions for removing a hypothetical contaminant, \(\text{X(g)}\). The collision partner is either structural isomer \(\text{Y}_1\text{(g)}\) or structural isomer \(\text{Y}_2\text{(g)}\). Both experiments are performed at \(400\text{ K}\), with an initial concentration of \(0.010\text{ M}\) for each reactant.
Structural modeling indicates that the reactive atom of \(\text{Y}_2\text{(g)}\) is accessible over a smaller fraction of the molecular surface than the reactive atom of \(\text{Y}_1\text{(g)}\). Let \(A_1\) and \(A_2\) be the respective pre-exponential factors in the Arrhenius equation. Which prediction correctly compares reaction 2 with reaction 1?
| Property | Reaction with \(\text{Y}_1\text{(g)}\) | Reaction with \(\text{Y}_2\text{(g)}\) |
|---|---|---|
| Molar mass of collision partner | \(72\text{ g/mol}\) | \(72\text{ g/mol}\) |
| Effective collision diameter | \(0.50\text{ nm}\) | \(0.50\text{ nm}\) |
| Measured \(E_a\) | \(40\text{ kJ/mol}\) | \(40\text{ kJ/mol}\) |
Structural modeling indicates that the reactive atom of \(\text{Y}_2\text{(g)}\) is accessible over a smaller fraction of the molecular surface than the reactive atom of \(\text{Y}_1\text{(g)}\). Let \(A_1\) and \(A_2\) be the respective pre-exponential factors in the Arrhenius equation. Which prediction correctly compares reaction 2 with reaction 1?
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