Question

For a certain patient, a dose of Acetaminophen decays exponentially in their blood stream with a half-life of 2.4 hours. What fraction of an initial dose is expected to remain in the blood stream 4.6 hours after it is administered? Use three decimal place accuracy.

Answer 1

Answer: approximately 0.351 or 35.1% of the initial dose is expected to remain in the blood stream 4.6 hours after it is administered.

Step-by-step explanation:

Remaining fraction = (1/2)^(time / half-life)

In this case, the half-life of Acetaminophen in the blood stream is given as 2.4 hours, and we want to find the fraction remaining after 4.6 hours.

Substituting the values into the formula:

Remaining fraction = (1/2)^(4.6 / 2.4)

Calculating this expression, we find:

Remaining fraction ≈ 0.351