The decay constant for a certain element is 1.7x10⁻⁹ s⁻¹. Calculate the half-life of the element.

The decay constant ($\lambda$) for the element is given as $1.7 \times 10^{-5} \text{ s}^{-1}$.

For a first-order decay process, the half-life ($t_{1/2}$) is related to the decay constant ($\lambda$) by the formula:

Let's convert to hours for better readability.
There are 3600 seconds in 1 hour.

The half-life of the element is approximately 40765 seconds or 11.32 hours.