Analysis of initial reaction rates (or velocities) allows for which of the following assumptions?

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In the analysis of initial reaction rates (velocities), several simplifying assumptions are employed to make the mathematics tractable and the interpretation straightforward.
Option 1: '[S] varies linearly with time' — This is not an assumption typically made. If substrate concentration changed noticeably during the initial period, the rate would not be constant and the relationship between rate and time could become nonlinear. Therefore, assuming linear variation of [S] would misrepresent the early-stage kinetics.
Option 2: '[S] remains constant' — This is the standard assumption for initial rate measurements. By focusing on a very brief time window at the start of the reaction, the amount of substrate consumed is negligible, so [S] can be treated as effectively constant, which simplifies deriving the rate law from the observed velocity.
Option 3: '[S] varies exponentially with time' — Exponential variation would imply a very rapid, nonlinear consumption of substrate from the outset, which is not how initial-rate experiments are designed or interpreted. This option contradicts the common practice of treating [S] as constant during the initial, linear portion of the reaction.
Overall, the commonly taught premise in initial-rate analysis relies on keeping [S] essentially constant to isolate how rate responds to the fixed starting substrate concentration, avoiding complications from rapid substrate depletion.

BIOC 440 A Lecture Concept Exercise | 12

Analysis of initial reaction rates (or velocities) allows for which of the following assumptions?

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