Chemical KineticshardMCQ SINGLE⭐ Must-Do

A first-order reaction has a specific rate constant of exactly . How much absolute time will it takeChemical Kinetics Chemistry Question

Question

A first-order reaction has a specific rate constant of exactly $10^{-2} \text{ s}^{-1}$. How much absolute time will it take for 20 g of the reacting substance to rigorously reduce to 5 g? (Assume $\ln 2 \approx 0.693$)

Answer: B

💡 Solution & Explanation

Reducing the mass from 20 g to 5 g represents exactly two half-lives ($20 \rightarrow 10 \rightarrow 5$). For a first-order reaction, $t_{1/2} = 0.693 / k = 0.693 / 10^{-2} = 69.3 \text{ s}$. The total time is $2 \times 69.3 = 138.6 \text{ s}$.

💬
Still have doubts about this question?
Send it to our AI chemistry tutor on WhatsApp — gets answered in minutes
Ask on WhatsApp →

Practice 22,000+ questions like this

AI-adaptive practice, video lectures, and full IChO (Chemistry Olympiad) content — all in one place.

JEE Advanced · JEE Mains · NEET · IChO · AP Chemistry