**Understanding Drug Elimination Kinetics: A Practical Example**The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half-life of 46 minutes.Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.1 µg/mL. What will the concentration be 92 minutes later?**Solution:**Given data:- Initial concentration (C₀) = 1.1 µg/mL- Half-life (t₁/₂) = 46 minutes- Time elapsed (t) = 92 minutesWe apply the first-order kinetics elimination formula:\[ C = C₀ \times \left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}} \]Let's calculate the concentration (C) of the drug after 92 minutes:\[ C = 1.1 \times \left(\frac{1}{2}\right)^{\frac{92}{46}} \]\[ C = 1.1 \times \left(\frac{1}{2}\right)^{2} \]\[ C = 1.1 \times \frac{1}{4} \]\[ C = 1.1 \times 0.25 \]\[ C = 0.275 \]Rounding the answer to 2 significant digits:\[ C \approx 0.28 \: \text{µg/mL} \]Thus, the concentration of the drug in the bloodstream 92 minutes after injection will be approximately 0.28 µg/mL.

Given data, Half-life of drug = 46 min Order of the reaction = 1 Time = 92 min

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 46 minutes. Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.1 ug/mL. What will the concentration be 92 minutes later? Round your answer to 2 significant digits.

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of 46 minutes. Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is 1.1 ug/mL. What will the concentration be 92 minutes later? Round your answer to 2 significant digits.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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