A bronchodilator medication whose strength is 0.5% must be delivered by continuous bronchodilator therapy at 10 mg/hr for 2.5 hours. How many mL will be required to be added to the nebulizer?

To determine the amount of bronchodilator medication needed, we first need to convert the dosage in mg/hr to the concentration in mL.

The medication concentration is 0.5%, which means there are 0.5 grams of medication in 100 mL of the solution. To convert this to mg, we recognize that 0.5 grams is equivalent to 500 mg. Therefore, 100 mL of this solution contains 500 mg of active medication.

Next, we calculate the amount of medication required for the patient. If the patient requires 10 mg/hr for 2.5 hours, we multiply the hourly rate by the duration:

10 mg/hr x 2.5 hours = 25 mg.

Now we need to find out how many milliliters of the 0.5% solution contains 25 mg of medication. We can set up a proportion based on the concentration:

If 500 mg is in 100 mL, then 25 mg is in:

(25 mg) / (500 mg) = (X mL) / (100 mL)

Cross-multiplying gives:

500 mg * X mL = 25 mg * 100 mL

500X = 2500