A primary healthcare provider prescribes 1.5 L of normal saline (NS) to be given over 24 hours for continuous intravenous (IV) infusion to a client who has diarrhea.
What should be the rate of infusion that is required to be set in the infusion pump?

To find the volume of fluid that will be left at 10:00 am, you need to calculate the following:

- The time elapsed in minutes from 8:45 am to 10:00 am using the formula: Time elapsed (min) = End time (min) - Start time (min)
- The volume of fluid infused in milliliters (mL) during the time elapsed using the formula: Volume infused (mL) = Flow rate (mL/min) x Time elapsed (min)
- The volume of fluid left in milliliters (mL) at 10:00 am using the formula: Volume left (mL) = Initial volume (mL) - Volume infused (mL)

First, use the formula for time elapsed to find how many minutes have passed from 8:45 am to 10:00 am:

Time elapsed (min) = End time (min) - Start time (min)

Since the end time is 10:00 am and the start time is 8:45 am, plug in these values into the formula:

Time elapsed (min) = 600 min - 525 min

Simplify and solve for the time elapsed:

Time elapsed (min) = 75 min

Next, use the formula for volume infused to find the amount of fluid infused in milliliters during the time elapsed:

Volume infused (mL) = Flow rate (mL/min) x Time elapsed (min)

Since the flow rate is 2 mL/min and the time elapsed is 75 min, plug in these values into the formula:

Volume infused (mL) = 2 mL/min x 75 min

Simplify and solve for the volume infused:

Volume infused (mL) = 150 mL

Then, use the formula for volume left to find the amount of fluid left in milliliters at 10:00 am:

Volume left (mL) = Initial volume (mL) - Volume infused (mL)

Since the initial volume is 1500 mL and the volume infused is 150 mL, plug in these values into the formula:

Volume left (mL) = 1500 mL - 150 mL

Simplify and solve for the volume left:

Volume left (mL) = 1350 mL

Therefore, the volume of fluid that will be left at 10:00 am is **1350 mL**.

To find the rate in mL/hr, you need to calculate the following:

- The concentration of nitroglycerin in the IV solution in mcg/mL
- The infusion rate in mL/hr using the formula: Infusion rate (mL/h) = (Dose (mcg/min) x 60 min/h) / Concentration (mcg/mL)

First, convert the concentration of nitroglycerin from mg to mcg by multiplying by 1000:

125 mg x 1000 = 125,000 mcg

Then, divide the amount of nitroglycerin by the volume of the IV solution to get the concentration in mcg/mL:

125,000 mcg / 500 mL = 250 mcg/mL

Next, plug in the values into the formula for infusion rate:

Infusion rate (mL/h) = (42 mcg/min x 60 min/h) / 250 mcg/mL

Simplify and solve for the infusion rate:

Infusion rate (mL/h) = 10.08 mL/h

Therefore, the nurse should program the IV pump to deliver **10.1 mL/h** to infuse nitroglycerin at 42 mcg/minute.