calculate the half-life (t1/2) of Drug A is: Drug A Concentrations

Phlebotomy Essentials
6th Edition
ISBN:9781451194524
Author:Ruth McCall, Cathee M. Tankersley MT(ASCP)
Publisher:Ruth McCall, Cathee M. Tankersley MT(ASCP)
Chapter1: Phlebotomy: Past And Present And The Healthcare Setting
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Drug A has the concentrations indicated below in the blood following intravenous administration. From these data calculate the half-life (t1/2) of Drug A is:

Drug A Concentrations

Time After Intravenous Administration μg/mL of drug A in blood
2 hours 100
6 hours 25
10 hours 6.25
14 hours 1.56
Expert Solution
Step 1: Calculate the k

To calculate the half-life (t1/2) of Drug A, you can use the concentrations at different time points and the formula for exponential decay:

t1/2 = (0.693 / k)

Where:

t1/2 is the half-life.

k is the elimination rate constant.

First, you need to find the elimination rate constant (k). You can use the concentrations at two time points to do this. Let's use the concentrations at 2 hours and 6 hours:

C1 = 100 μg/mL (concentration at 2 hours)

C2 = 25 μg/mL (concentration at 6 hours)

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