Question

1. the ld50 for acetaminophen is 2404 mg/kg (rat, oral).

a. how many milligrams of acetaminophen would be the ld50 for a 60 kg (132 lb)
adult?
b. how many 500 mg tablets of acetaminophen would be a lethal dose for half the
60 kg adults? (think about it, should you round up or down?)

Explanation:

Step1: Calculate the LD50 for a 60 kg adult

The LD50 is given as \(2404\space mg/kg\). For a \(60\space kg\) adult, we use the formula \(LD50 = 2404\times60\).

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Step2: Calculate the number of 500 mg tablets

Let \(n\) be the number of tablets. We know that \(n=\frac{144240}{500}\).

$$ n=\frac{144240}{500}=288.48 $$

Since we cannot have a fraction of a tablet and we need a lethal dose for half the population (so we need to ensure the dose is sufficient), we round up.

Answer:

a. \(144240\space mg\)
b. \(289\) tablets