Question

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with...

The rate at which a certain drug is eliminated by the body follows first-order kinetics, with a half life of minutes.

Suppose in a particular patient the concentration of this drug in the bloodstream immediately after injection is . What will the concentration be minutes later?

Round your answer to significant digits.

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Answer #1
Concepts and reason

Rate:

The rate of a chemical reaction is defined as the change in concentration of a substance (reactant or product) per unit of time. It is expressed as.

Half-life:

It is defined as the time needed to minimize the initial concentration to half. It is denoted by the symbol.

Significant figures:

The term significant figures refer to the meaningful digits in it.

Fundamentals

For a first order reaction,

0.693
Therefore, t2 =

For a first order reaction, the half-life time is independent of the initial concentration of the substrate.

Half life of the given drug = 49 minutes
Total time =196 minutes
_196
Number of half life corresponds to 196 minutes=
49
=4

Therefore, the concentration of drug reduced in 196 min=2
= 16 times.

Given,
Initial concentration of the drug=0.74ug/mL
final concentration=%
-0.74ug/mL
16
=0.046 ug/mL

Ans:

The concentration of the drug after 196 minutes is 0.046ug/mL

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