How many milliliters of a bronchodilator would be needed to deliver 10 mg of a drug at a strength of 0.5%?

To determine how many milliliters of a bronchodilator are needed to deliver 10 mg of a drug at a strength of 0.5%, it is essential to first understand what a 0.5% solution means. A 0.5% solution indicates there are 0.5 grams of the drug in 100 mL of solution. This means for every mL of the solution, there are 5 mg of the drug (since 0.5 grams equals 500 mg, and dividing that by 100 mL gives 5 mg/mL).

Now, to find out how many milliliters are necessary to provide 10 mg of the drug, we can set up a simple calculation. Since each milliliter contains 5 mg of the bronchodilator, we need to divide the desired dosage (10 mg) by the concentration (5 mg/mL):

10 mg ÷ 5 mg/mL = 2 mL.

Thus, to deliver a total of 10 mg from a 0.5% solution, you would need 2 mL of the bronchodilator. This confirms that the answer is indeed 2 mL.