A mechanism predicts that a reaction is first order in reactant C under the…

CHEMISTRY · Single correct · AP · Chemistry · Kinetics · Kinetics

Problem

A mechanism predicts that a reaction is first order in reactant C under the conditions where the pre-equilibrium approximation is valid. The following slopes were obtained from linear plots of log⁡(rate)\log(\text{rate}) versus log⁡[C]\log[\text{C}] at two different concentration ranges: • Low [C][\text{C}] range: slope =0.98=0.98 • High [C][\text{C}] range: slope =0.35=0.35 Which statement best explains the observed change in slope? (a) At high [C][\text{C}], detector saturation under-reports the initial rates, giving a smaller slope. (b) Because taking the logarithm compresses large numbers more than small ones, the log⁡[C]\log[\text{C}] axis is effectively “squashed” at high concentrations, making the slope appear lower. (c) At high [C][\text{C}], the initial fast step no longer remains in equilibrium, so the pre-equilibrium approximation breaks down. (d) At high [C][\text{C}], the rate-determining step switches to an elementary step that is zero order in C, lowering the observed slope.

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