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Drug R is to be infused over 48 hours. If the half-life (\(t_{1/2}\)) of drug R is 6 hours, and the steady-state concentration is 74.2 mg/L at 36 hours, what would the concentration have been at 6 hours?

A. 18.6 mg/L
B. 9.8 mg/L
C. 148.4 mg/L
D. 37.1 mg/L

Answer :

Final answer:

The original concentration of Drug R at 6 hours, considering its half-life of 6 hours and steady-state concentration of 74.2 mg/L at 36 hours, would have been 1188.8 mg/L. Therefore, none of the given options (A, B, C, D) are correct.

Explanation:

This question is based on the concept of drug half-life, which is a measure of how long it takes for the concentration of the drug in the body to decrease by half.

Given that the half-life of Drug R is 6 hours, this means that every 6 hours, the concentration of the drug in the body decreases to half of its initial value. Since the steady-state concentration is reached at 36 hours with a value of 74.2 mg/L, it indicates that at this time, the input and output of the drug are balanced.

If you go backwards six hours from the 36-hour mark, doubling the concentration for each 6-hour block (to account for the half-life), the original concentration of the drug in the body at 6 hours was 1188.8 mg/L. Thus, none of the options provided in the question are correct.

Learn more about Drug Half-Life here:

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