Pharmacy Science And Calculations Sessions 1-6 Practice Test

A solution contains 10% w/v; how many mg per mL does this concentration correspond to?

50 mg/mL 10 mg/mL 1000 mg/mL 100 mg/mL

Correct Answer:

100 mg/mL

Explanation:

Understanding how percent weight/volume translates to concentration is the first step. A 10% w/v solution means 10 g of solute in every 100 mL of solution. To express this in mg per mL, convert grams to milligrams and divide by the volume in mL. So, 10 g equals 10,000 mg. 10,000 mg in 100 mL gives 10,000 mg / 100 mL = 100 mg per mL. Therefore, the concentration is 100 mg/mL. This corresponds to 10% w/v because 100 mg/mL multiplied by 100 mL equals 10,000 mg, i.e., 10 g. For reference, other values would map to different percentages (e.g., 50 mg/mL is 5 g per 100 mL, or 5% w/v).

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