A nurse, via an infusion pump, sets up an infusion rate ratio of 2.75 mL/min for a continuous intravenous (IV) fluid for 7 hours.
What is the total volume of IV fluid being infused, in liters?

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 answer this question, the nurse needs to perform the following steps:

1) Convert the patient's weight from pounds and ounces to kilograms, using the conversion factor of 1 pound = 0.45359237 kilograms¹². To do this, first convert the ounces to a fraction of a pound by dividing by 16, then add this fraction to the pounds, and then multiply by the conversion factor. For example:

7 lb, 11.2 oz = 7 + (11.2 / 16) lb
= 7.7 lb
= 7.7 × 0.45359237 kg
= 3.492 kg

2) Calculate the dose of Garamycin in milligrams, using the prescribed dose of 4 mg/kg and the patient's weight in kilograms. To do this, simply multiply the dose per kilogram by the weight in kilograms. For example:

4 mg/kg × 3.492 kg = 13.968 mg

3) Calculate the volume of Garamycin in milliliters, using the reconstituted dosage of 20 mg/10 mL and the dose in milligrams. To do this, use a proportion to find the unknown volume that corresponds to the known dose. For example:

20 mg / 10 mL = 13.968 mg / x mL Cross-multiply and solve for x: 20x = 139.68

x = 6.984 mL
x =7 mL