Question

the dosage of quinine when a 145 - lb adult takes a 200. - mg tablet is equivalent to ______ μg drug per kg of body weight. view available hint(s) 1.38×10³ 6.27×10⁻¹ 3.04×10³ 627

Explanation:

Step1: Convert body weight from lb to kg

We know that \(1\space lb = 0.4536\space kg\).
For a \(145 - lb\) adult, the weight in kg is \(m = 145\times0.4536\space kg\approx65.772\space kg\).

Step2: Convert drug mass from mg to \(\mu g\)

We know that \(1\space mg=10^{3}\space\mu g\).
For a \(200 - mg\) tablet, the mass in \(\mu g\) is \(M = 200\times10^{3}\space\mu g = 2\times 10^{5}\space\mu g\).

Step3: Calculate the dosage (\(\mu g/kg\))

The dosage \(d=\frac{M}{m}\).
Substitute \(M = 2\times 10^{5}\space\mu g\) and \(m\approx65.772\space kg\) into the formula:
\(d=\frac{2\times 10^{5}\space\mu g}{65.772\space kg}\approx3.04\times 10^{3}\space\mu g/kg\).

Answer:

\(3.04\times 10^{3}\)