# What does the 0.693 represent in the equation of half life (t1/2 = 9.693/k) ?

Jun 22, 2016

It is the natural logarithm of 2.

#### Explanation:

I don't really understand the equation you mention in your question, for that I would need more information. However, it might help you to know that $0.693$ is the same as $\ln \left(2\right)$. This is used for calculating half life / the exponential decay constant:

$\lambda = \ln \frac{2}{T}$

in which $T$ is the half life of an element. This you can use in the half life equation.

For more information check the answer to the following question on this website: What is the half life formula?