Final answer:
To determine the rate in mL/hr, we set up a proportion based on the stock solution's concentration, solve for the volume containing 250 mg, and adjust for an hourly rate, resulting in an infusion rate of 83 mL/hr.
Step-by-step explanation:
The patient requires 250 mg of medication to be delivered over 30 minutes, and we know that there are 600 mg of medication in every 100 mL of the stock solution. First, we need to calculate how many milliliters of the stock solution contain 250 mg of medication.
Using a simple proportion based on the concentration of the stock solution, we can set up the equation like so:
600 mg / 100 mL = 250 mg / X mL
Solving for X gives us:
X = (250 mg × 100 mL) / 600 mg
X = 41.67 mL
This is the volume required for 30 minutes, but we need to calculate the rate in mL/hr. Since there are 60 minutes in an hour, we need to adjust the volume accordingly:
Rate = (41.67 mL × 2) / 1 hour
Rate = 83.34 mL/hr
Therefore, the correct infusion rate is 83 mL/hr, which corresponds to option B.