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hy droxyzine hy drochloride syrup 10m(g)/(5)mL sig: 15mg po qid prn itching That volume of medication is needed per dose?

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Final answer:

To find the volume of medication required for a 15mg dose given a concentration of 10mg per 5mL, a simple proportion can be used. The calculation shows that 7.5mL of the hydroxyzine hydrochloride syrup is needed per 15mg dose.

Step-by-step explanation:

The question pertains to calculating the volume of medication needed per dose when given the concentration of the medication in syrup form and the prescribed dosage. The calculation involves converting milligrams to milliliters using the given concentration of hydroxyzine hydrochloride syrup, which is 10mg per 5mL.

To determine the volume required for a 15mg dose, one would set up a proportion since the dosage strength is given as 10mg per 5mL. Thus, if 10mg corresponds to 5mL, then 15mg would correspond to X mL, where X is the volume we are trying to find. Solving for X gives us:

(10mg/5mL) = (15mg/X mL)
X = (15mg * 5mL) / 10mg
X = 7.5mL

Therefore, each dose of 15mg will require 7.5mL of the hydroxyzine hydrochloride syrup.

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