Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

A certain first-order reaction A → B is 25% complete in 42 min at 25 °C. What is its rate constant?
Options
A 6.8 × 10⁻³ min⁻¹
Correct Answer
B 8.3 × 10⁻³ min⁻¹
C 3.3 × 10⁻² min⁻¹
D -3.3 × 10⁻² min⁻¹
Correct Answer

Option A is the correct answer.

Detailed Explanation

For first order: k = (1/t) ln([A]₀/[A]). If 25% complete, [A] = 0.75[A]₀. k = (1/42) ln(1/0.75) = (1/42) × 0.2877 = 0.00685 min⁻¹ ≈ 6.8 × 10⁻³ min⁻¹.

Hint

Use the integrated rate law for first-order reactions.

Question Info