A client receives a prescription for 1 liter of lactated Ringer’s intravenously (IV) to be infused over 8 hours

A client receives a prescription for 1 liter of lactated Ringer’s intravenously (IV) to be infused over 8 hours. The IV administration set delivers 20 gtt/mL. How many gtt/min should the nurse regulate the infusion? (Enter numerical value only. If rounding is required, round to the nearest whole number.)

The correct answer and Explanation is :

To determine the rate at which the IV should be infused, you need to calculate the drip rate in drops per minute (gtt/min). Here’s how you can do it:

1. Determine the total volume to be infused:

• Volume = 1 liter (which is 1000 mL)

1. Determine the total infusion time:

• Time = 8 hours

1. Convert the infusion time from hours to minutes:

• Time in minutes = 8 hours × 60 minutes/hour = 480 minutes

1. Calculate the drip rate in gtt/min using the formula:
   [
   \text{Drip rate (gtt/min)} = \frac{\text{Total volume (mL)} \times \text{Drop factor (gtt/mL)}}{\text{Total time (min)}}
   ]
   Here, the drop factor is 20 gtt/mL. Substituting the values:
   [
   \text{Drip rate (gtt/min)} = \frac{1000 \text{ mL} \times 20 \text{ gtt/mL}}{480 \text{ min}}
   ]
   [
   \text{Drip rate (gtt/min)} = \frac{20000 \text{ gtt}}{480 \text{ min}}
   ]
   [
   \text{Drip rate (gtt/min)} \approx 41.67 \text{ gtt/min}
   ]
2. Round to the nearest whole number:

• Drip rate ≈ 42 gtt/min

Explanation:

To ensure accurate infusion rates, the nurse calculates the drip rate by dividing the total volume of the IV solution by the total infusion time, then adjusting this by the drop factor of the IV administration set. The drop factor tells you how many drops are in one milliliter of fluid. In this case, the formula accounts for the drop factor to determine how many drops per minute are needed to achieve the prescribed rate.

By dividing 1000 mL (volume) by 480 minutes (time), you get a flow rate of about 2.08 mL per minute. Multiplying this by the drop factor of 20 gtt/mL gives the total drops per minute needed to administer the fluid correctly. Rounding the final value ensures practical, easy-to-follow instructions for setting the drip rate on the IV administration set.