In the study of radioactive first-order disintegration, the "Average Life" () is defined as the reci — Chemical Kinetics Chemistry Question

💡 Solution & Explanation

By definition, $T_{av} = 1 / \lambda$. Since $t_{1/2} = 0.693 / \lambda$, isolating $\lambda$ gives $\lambda = 0.693 / t_{1/2}$. Substituting this back yields $T_{av} = t_{1/2} / 0.693$. Because $1 / 0.693 \approx 1.44$, the average life is mathematically equal to $1.44 \times t_{1/2}$.