23. A standard dose of an over-the-counter cough suppressant for adults is 20.0 mL. A portion this size you that you may contains 35 mg of the active pharmaceutical ingredient (API). Your pediatrician tells give this medication to your 6-year-old child, but the dose may contain no more than 4.00 mg of the API and in a volume not to exceed 10 mL for ease of swallowing. (a) What is the concentration in mg/mL of the adult-strength medication? (b) How many mL of adult-strength medication would you need to dilute in order to prepare 100.0 mL of child-strength cough syrup? (c) How would you prepare the child-strength solution?

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23. Use dimensional analysis
23. 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). Your pediatrician tells you that you may
give this medication to your 6-year-old child, but the dose may contain no more than 4.00 mg of the API
and in a volume not to exceed 10 mL for ease of swallowing.
(a) What is the concentration in mg/mL of the adult-strength medication?
(b) How many mL of adult-strength medication would you need to dilute in order to prepare 100.0 mL of
child-strength cough syrup?
(c) How would you prepare the child-strength solution?
Transcribed Image Text:23. 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). Your pediatrician tells you that you may give this medication to your 6-year-old child, but the dose may contain no more than 4.00 mg of the API and in a volume not to exceed 10 mL for ease of swallowing. (a) What is the concentration in mg/mL of the adult-strength medication? (b) How many mL of adult-strength medication would you need to dilute in order to prepare 100.0 mL of child-strength cough syrup? (c) How would you prepare the child-strength solution?
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