if a doctor prescribes 30 units of insulin in 500 ml to be administered over 2 hours, how many drops per minute should be administered if the set is calibrated to deliver 20 drops per ml?

i don't know how to get it and i need to show work...

A total of 500 ml have to administered in 2 hours or in 120 minutes.

It is delivering 20 drops/ml so there are 500x20 drops to be delivered, or 10,000 drops.
so the drops/min have to be 10,000/120 = 83 1/3 drops/min

(notice the 30 units does not enter the picture as it merely describes the strength of the insulin in the 500 ml bag)

thank you very much

To determine how many drops per minute should be administered, you'll need to perform a series of calculations. Here's how you can do it step by step:

1. Calculate the total number of drops in the 500 ml of insulin:
Total Drops = Total Volume (ml) x Drops per ml
Total Drops = 500 ml x 20 drops/ml

Since the set is calibrated to deliver 20 drops per ml, the total number of drops would be 10,000 drops.

2. Determine the number of drops to be administered in 2 hours:
Drops per Minute = Total Drops / Time (in minutes)
Drops per Minute = 10,000 drops / (2 hours x 60 minutes per hour)

Since there are 120 minutes in 2 hours (2 x 60), the number of drops per minute would be 83.33 drops/minute.

However, as the number of drops must be a whole number, you may need to adjust the calculated value.

3. Round the drops per minute to the nearest whole number or make further adjustments based on the specific instructions or device limitations.

Note: The final result may vary depending on rounding choices or if specific instructions are given for adjusting the rate.