Final answer:
To calculate the hourly dose of aminophylline, convert the volume of the solution to liters and multiply the concentration by the volume. Then, divide the total amount of aminophylline by the infusion time.
Step-by-step explanation:
To calculate the hourly dose of aminophylline, we need to convert the given information to a common unit of measurement. First, we convert the volume of the solution from mL to L by dividing by 1000: 250 mL = 0.250 L. Next, we calculate the total amount of aminophylline in the solution by multiplying the concentration (500 mg) by the volume (0.250 L): 500 mg x 0.250 L = 125 mg. Finally, we divide the total amount of aminophylline by the infusion time in hours to find the hourly dose: 125 mg / 27 mL/h = 4.63 mg/h. To determine the hourly dose of aminophylline, we need to calculate how much medication is administered per hour based on the infusion rate. The order is to infuse 500 mg of aminophylline in 250 mL of D5W at a rate of 27 mL/hour.
We'll begin by determining the concentration of aminophylline in the solution:
500 mg of aminophylline is present in 250 mL of D5W.
Then, we'll compute the amount of medication in each mL of solution:
500 mg / 250 mL = 2 mg/mL.
Finally, we multiply the concentration of the solution by the infusion rate to get the hourly dose:
2 mg/mL × 27 mL/hour = 54 mg/hour.
Therefore, the hourly dose of aminophylline is 54 mg.