Half-life

For any reactant subject to first-order decomposition, the amount of time needed for one half of the substance to decay is referred to as the half-life of that compound. Although the term is often associated with radioactive decay, it also applies equally to chemical decomposition, such as the decomposition of azomethane (CH₃N=NCH₃) into methane and nitrogen gas. Many compounds decay so slowly that it is impractical to wait for half of the material to decay to determine the half-life. In such cases, a convenient fact is that the half-life is 693 times the amount of time required for 0.1% of the substance to decay. Using the value of the half-life of a compound, one can predict both future and past quantities.

Mathematics

The future concentration of a substance, C₁, after some passage of time $\Delta$T, can easily be calculated if the present concentration, C₀, and the half-life, T_h, are known:

$C_{1}=C_{0}xe^{\frac {\Delta _{T}}{T_{h}}}$