An active pharmaceutical ingredient, carbamazepine, undergoes photodegradation in surface waters via a first-order process. Under simulated sunlight, the half-life of this degradation is determined to be 3.80 hours3.80\text{ hours}3.80 hours.
What is the rate constant, kkk, in s−1\text{s}^{-1}s−1, for this photodegradation?
1.82×10−11.82 \times 10^{-1}1.82×10−1
3.04×10−33.04 \times 10^{-3}3.04×10−3
7.31×10−57.31 \times 10^{-5}7.31×10−5
5.07×10−55.07 \times 10^{-5}5.07×10−5