For a first-order reaction , the concentration of A changes from to in . What is the exact instantan — Chemical Kinetics Chemistry Question
Question
For a first-order reaction $A \rightarrow \text{Products}$, the concentration of A changes from $0.1 \text{ M}$ to $0.025 \text{ M}$ in $40 \text{ minutes}$. What is the exact instantaneous rate of the reaction when the concentration of A is $0.01 \text{ M}$?
Answer: A
💡 Solution & Explanation
The drop from 0.1 M to 0.025 M spans exactly two half-lives. Thus, $2 \times t_{1/2} = 40 \Rightarrow t_{1/2} = 20 \text{ min}$. The rate constant $k = 0.693 / 20 = 0.03465 \text{ min}^{-1}$. The rate at $[A]=0.01\text{ M}$ is $r = k[A] = 0.03465 \times 0.01 = 3.465 \times 10^{-4} \text{ M/min}$.
💬Ask on WhatsApp →
Still have doubts about this question?
Send it to our AI chemistry tutor on WhatsApp — gets answered in minutes