The mass of a radioactive substance follows a continuous exp

The mass of a radioactive substance follows a continuous exponential decay model, with a decay rate parameter of 5.1% per day. Find the half-life of this substance (that is, the time it takes for one-half the original amount in a given sample of this substance to decay).

Solution

Half life = log2/ decay constant = 0.693/ decay constant

Decay constant 5.1% = 0.051

So, Half life =0.693 /0.051 = 13.58 days