A compound decomposes by a first-order process. If 13% of the compound decomposes in 60 minutes, the half-life of the compound is ________.

Question

Quizplus · Accepted Answer

The half-life of a first-order reaction can be calculated using the formula t1/2 = 0.693/k, where k is the rate constant. First, we find k using the formula ln(1/(1-x)) = kt, where x is the fraction decomposed (0.13) and t is time (60 minutes). Solving for k and then using it to find t1/2 gives approximately 299 minutes.

A Compound Decomposes by a First-Order Process