Answer: To find how many hours and minutes it will take to administer the solution, we need to calculate the total number of drops and then convert it to hours and minutes.
Given:
Volume of solution = 500 mL
Rate of infusion = 10 drops per minute
Drop factor = 20 drops per milliliter
Step 1: Calculate the total number of drops in the solution.
Total drops = Volume of solution (mL) * Drop factor (drops per mL)
Total drops = 500 mL * 20 drops/mL
Total drops = 10000 drops
Step 2: Calculate the time in minutes to administer the solution.
Time (minutes) = Total drops / Rate of infusion (drops per minute)
Time (minutes) = 10000 drops / 10 drops per minute
Time (minutes) = 1000 minutes
Step 3: Convert the time to hours and minutes.
Since 1 hour = 60 minutes, we can find the number of hours and the remaining minutes.
Number of hours = Time (minutes) / 60
Number of hours = 1000 minutes / 60
Number of hours ≈ 16.67 hours
To find the remaining minutes, we use the remainder after dividing by 60:
Remaining minutes = Time (minutes) % 60
Remaining minutes = 1000 minutes % 60
Remaining minutes = 40 minutes
So, it will take approximately 16 hours and 40 minutes to administer the solution.