Question

The decay constant of radioactive substance is 5.2× (10)-3 per year determine its half life

Answer 1

Answer: Half life of the radioactive sample is 133.26 years

Explanation;

The decay constant of the radioactive sample ,k= $5.2\times 10^{-3} year^{-1}$

Half life of the radioactive sample:$t_{\frac{1}{2}}$

half life and the rate constant are related to each other by the formula:

$k=\frac{0.693}{t_{1/2}}$

${t_{1/2}}=\frac{0.693}{5.2\times 10^{-3} year^{-1}}$

${t_{1/2}}=133.26 years$

Half life of the radioactive sample is 133.26 years