Wool fat is unavailable and must be replaced by lanolin (28% water, 72% wool fat). What amounts of lanolin and water are needed for the prescription: zinc oxide 2 g, calamine 2 g, wool fat 36 g, water to 60 g?

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OPRA Medicinal Chemistry and Biopharmaceutics QUESTION #3816

Question 1

Wool fat is unavailable and must be replaced by lanolin ($28\%$ water, $72\%$ wool fat). What amounts of lanolin and water are needed for the prescription: zinc oxide $2$ g, calamine $2$ g, wool fat $36$ g, water to $60$ g?

$34$ g lanolin and $22$ mL water
$40$ g lanolin and $16$ mL water
$46$ g lanolin and $10$ mL water
$50$ g lanolin and $6$ mL water✔️

Correct Answer Explanation

Lanolin needed $= \dfrac{36}{0.72} = 50$ g. Water from lanolin $= 50 \times 0.28 = 14$ mL. Total water in formula $= 60 - 2 - 2 - 36 = 20$ mL. Additional water $= 20 - 14 = 6$ mL.

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