Dilution of Adult-Strength Cough Syrup A standard dose of an over-the-counter co

Question

Dilution of Adult-Strength Cough Syrup A standard dose of an over-the-counter cough suppressant for adults is 20.0 mL. A portion this size contains 35 mg of the active pharmaceutical ingredient (API). A pediatrician prescribes the drug for a 6-year-old child, but the child may take only 10.0 mL at a time and receive a maximum of 4.00 mg of the API. What is the concentration in mg/mL of the adult- strength medication, and how many milliliters of it should be diluted to make 100.0 mL of child-strength cough syrup?

Explanation / Answer

Concentatino of adult drug 35 mg/ 20ml = 1.75 mg/ml

for child the limit is 4mg/10ml =0.4 mg/ml

The adult sample needs to be diluted to 1.75mg/ml * x= 100*0.4 mn/ml

x= ml of adults sample

x= 100*0.4/1.75= 22.9 ml

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