For a particular first-order reaction,it takes 24 minutes for the concentration of the reactant to decrease to 25% of its initial value.What is the value for rate constant (in s^-1)for the reaction?

Question

Quizplus · Accepted Answer

For a first-order reaction, the rate constant k can be calculated using the formula k = (1/t) * ln([A]₀/[A]), where t is the time taken for the concentration to decrease and [A]₀/[A] is the ratio of initial to final concentration. Here, t = 24 minutes = 1440 seconds, and [A]₀/[A] = 1/0.25 = 4. Thus, k = (1/1440) * ln(4) ≈ 9.6 × 10⁻⁴ s⁻¹.

For a Particular First-Order Reaction,it Takes 24 Minutes for the Concentration