(3) Volume from percent and drug amount

3. Percent, Ratio, mg/mL, PPM, PPB 3.1) Percent 3.1.1) Percent - General

3.1.1.1) Percent from weight and volume Easy 1


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How many milliliters of a lotion can you prepare with 3244.5 milligrams of drug so that the strength becomes 1.03% w/v?


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lb equals 315 mL kg

    Percentage (w/v) means number of grams of drug present per 100 mL of the solution. Here, the strength is 1.03 %, which means, there is 1.03 g of drug dissolved per 100 mL of a lotion. We need to determine the volume (in mL) of a lotion which will contain 3244.5 mg (equals to `3244.5 mg × (1g)/(1000mg) = 3.2445 g`) of the drug.

    `∴ (100 \quad mL)/(1.03 \quad g) = x/(3.2445 \quad g) ⇒ x = 315 \quad mL`

    ∴ The volume will be 315 mL (Ans).