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plz, answer all questions clearly and correctly. i am begging you
6. If the half-life for decomposition of a drug is 12 hours, how long will it take for 125 mg of
Mathematical Fundamentals in Pharmacokinetics 41 the drug to decompose by 30%? Assume first- order kinetics and constant temp
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Answer #1

6)Half life of the drug is 12 hours .

Decomposition of the drug = 30/100 * 125 = 37.5 mg

Remaining part of drug = 125- 37.5 = 87.5 mg

Dissociation constant (k) = 0.693/ T1/2

k= 0.693/T1/2

A=Ao e^-kt

87.5= 125 * e^-(k)t

Solving , t= 6.79 hours = 6 hours 47 minutes (approximately)

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