The mathematical relationship between the decay constant () and the half-life period () of a radioac — Nuclear Chemistry and Radioactivity Chemistry Question

💡 Solution & Explanation

Deriving the half-life from the first-order rate equation yields $T_{1/2} = \ln(2) / \lambda$. Since the natural logarithm of $2$ is approximately $0.693$, the standard formula is $T_{1/2} = 0.693 / \lambda$.