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QUESTION:

The half-life of a drug is the time it takes for a dose to reduce to half its initial amount. A doctor prescribes a 4mg sleeping pill with a half-life of 24 hours.

Write down a formula connecting the mass, m, of drug remaining with its half-life, t.

I know that is halves every $24$ hours however I'm not sure where to start except from.... $m = t$

Thank you.

itshanks
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1 Answers1

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If the quantity reduce to $1/2=2^{-1}$ in $24 $ hours than the quantity $m$ at $ h$ hours is:

$$ m=m_02^{-(\frac{h}{24})} $$ where $m_0$ is the initial dose.

Emilio Novati
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