Final answer:
The half-life of the substance is 6.13 days.
Step-by-step explanation:
The half-life of a substance can be calculated using the formula:
t1/2 = 0.693 / k
where t1/2 is the half-life and k is the rate constant. In this case, the sample has a mass of 38 grams and a k-value of 0.113. Therefore, the half-life can be calculated as:
t1/2 = 0.693 / 0.113 = 6.13 days (rounded to the nearest tenth).