Two sealed vessels, I and II

CHEMISTRY · Single correct · A Level · Chemistry · Kinetics · Kinetics

Problem

Two sealed vessels, I and II, each contain gaseous reactants X and Y that react by the elementary step X + Y → products. The total collision frequency per unit volume is the same in both vessels. Vessel I (290 K): • Fraction of collisions with energy ≥ Eₐ = 0.030 • [X] = 0.20 M, [Y] = 0.20 M Vessel II (310 K): • Fraction of collisions with energy ≥ Eₐ = 0.24 • [X] = 0.10 M, [Y] = 0.10 M Assuming that only collisions in which both reactant molecules possess at least Eₐ are effective and that the orientation probability is identical in the two vessels, which statement correctly compares the initial reaction rates? (a) The rate in Vessel II is approximately 88 times the rate in Vessel I. (b) The rate in Vessel II is approximately one–fourth the rate in Vessel I. (c) The rate in Vessel II is approximately twice the rate in Vessel I. (d) The rate in Vessel II is approximately 1616 times the rate in Vessel I.

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