At a given temperature,a first-order reaction has a rate constant of 3.5 $\times$ 10^-3 s^-1.How long will it take for the reaction to be 24% complete?

Question

Quizplus · Accepted Answer

For a first-order reaction, the time $ t $ for a certain percentage completion can be calculated using the formula $ t = \frac{-\ln(1-f)}{k} $, where $ f $ is the fraction completed (0.24 for 24%) and $ k $ is the rate constant. Substituting the given values, $ t = \frac{-\ln(0.76)}{3.5 \times 10^{-3}} \approx 78 $ s.

At a Given Temperature,a First-Order Reaction Has a Rate Constant ×\times×

At a Given Temperature,a First-Order Reaction Has a Rate Constant $\times$