A beclomethasone dipropionate inhaler contains 10 mg of active ingredient and delivers 200 doses. How much of the drug, in mcg, is delivered per dose?
Each dose of the beclomethasone dipropionate inhaler delivers 50 mcg of the drug.
To find the amount of active ingredient delivered per dose, divide the total amount of the drug in milligrams by the number of doses, then convert milligrams to micrograms (1 mg = 1000 mcg).
This choice represents a miscalculation of the drug dosage. If one were to incorrectly divide 10 mg by 200 doses and mistakenly assume the answer in milligrams instead of converting to micrograms, it could lead to this erroneous conclusion. However, the actual dosage per dose is 50 mcg, not 5 mcg.
Selecting 20 mcg suggests a misunderstanding of the conversion from milligrams to micrograms. If one were to divide 10 mg by 200 doses without converting to micrograms, they would be left with an incorrect figure. The correct calculation shows that each dose actually delivers 50 mcg, not 20 mcg.
This is the correct answer, calculated by dividing the total 10 mg (which equals 10,000 mcg) by 200 doses, yielding 50 mcg per dose. This value accurately reflects the amount of beclomethasone dipropionate delivered with each use of the inhaler.
This value mistakenly implies that the dosage per dose is higher than it truly is. It suggests either an incorrect division of the total mg or a failure to convert units properly. The actual dosage per dose is 50 mcg, making 100 mcg an incorrect option.
The beclomethasone dipropionate inhaler delivers 50 mcg per dose, a result derived from dividing the total active ingredient amount by the number of doses, followed by unit conversion. Understanding the relationship between milligrams and micrograms is crucial for accurate dosage calculations in medical applications, ensuring patients receive the correct amount of medication with each inhalation.
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