Answer:
Half-life = 1.21x10⁻⁴ years⁻¹
Step-by-step explanation:
The kinetics decay of ¹⁴C follows the first order reaction. That means half-life of ¹⁴C is defined as:
Half-life = ln 2 / K
Where K is decay constant.
As decay constant of ¹⁴C is 5730 years, half-life is:
Half-life = ln 2 / 5730 years
Half-life = 1.21x10⁻⁴ years⁻¹