Answer:
λ = 1.19 x 10⁻⁶
Explanation:
The relationship between the half-life of an element and the decay constant of that element is given by the following formula:
[tex]T_{1/2} = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{T_{1/2}}[/tex]
where,
[tex]T_{1/2}[/tex] = half-life = 5.83 x 10⁵ s
λ = decay constant = ?
[tex]\lambda = \frac{0.693}{5.83\ x\ 10^5\ s}[/tex]
λ = 1.19 x 10⁻⁶