A 14 gram sample of a substance that's used to preserve fruit and vegetables has a k-value of 0.1092. Find the substance's half-life, in days. Round your answer to the nearest tenth.
To find the substance's half-life, we need to use the formula:
t1/2 = (0.693 / k)
Where:
- t1/2 is the half-life in the given units (days in this case)
- k is the constant value for the substance
We have been given the k-value as 0.1092. Plugging this value into the formula, we get:
t1/2 = (0.693 / 0.1092)
To calculate this value, divide 0.693 by 0.1092 using a calculator or by long division:
t1/2 ≈ 6.35
Rounding to the nearest tenth, we get:
t1/2 ≈ 6.4
Therefore, the substance's half-life is approximately 6.4 days.