How many milliliters of aerosolized medication should be prepared to deliver 30 mg of that same drug if the strength is 1.5%?

To determine the volume of aerosolized medication needed to deliver 30 mg of a drug with a concentration of 1.5%, it's important first to understand what a 1.5% solution means. A 1.5% solution indicates that there are 1.5 grams (or 1500 mg) of the drug per 100 mL of solution.

To find out how many milliliters are needed for 30 mg of the drug, you can set up a proportion based on the known concentration:

1.5 grams (1500 mg) is contained in 100 mL. This can be represented as:

• 1500 mg/(100 mL) = 30 mg/x mL

By cross-multiplying, you get: 1500 mg * x mL = 30 mg * 100 mL

Solving for x gives you: x = (30 mg * 100 mL) / 1500 mg x = 3000 mg*mL / 1500 mg x = 2 mL

This calculation shows that to achieve a dose of 30 mg from a 1.5% solution, you would prepare 2 mL of the aerosolized medication