Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

A first-order reaction is 40% complete in 30 minutes. What is the rate constant for this reaction?
Options
A 0.0170 min⁻¹
Correct Answer
B 0.0333 min⁻¹
C 0.0204 min⁻¹
D 0.0112 min⁻¹
Correct Answer

Option A is the correct answer.

Detailed Explanation

For first order: k = (1/t) ln([A]₀/[A]). If 40% complete, [A] = 0.60[A]₀. k = (1/30) ln(1/0.60) = (1/30) × 0.5108 = 0.01703 min⁻¹ ≈ 0.0170 min⁻¹.

Hint

Use the integrated rate law: ln([A]₀/[A]) = kt.

Question Info