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Rate Constant of a Pharmaceutical Drug

APCHEM-4X3$JF

A doctor prescribes a drug to his patient in order to control his allergies. The patient must take 25 mg of this drug every 24 hours to maintain effectiveness. The drug is metabolized as a first order reactant with a half-life of 18 hours.

Which of the following is the rate constant, $k$, for this drug?

A

$0.029 \ \text{hours}^{-1}$

B

$0.039 \ \text{hours}^{-1}$

C

$1.4 \ \text{mg/hour}$

D

$450 \ \text{mg} \cdot \ \text{hours}$