Questions: Begin a Pitocin infusion at 5.0 mu / min via IV pump for labor induction. On hand is Pitocin 40 units in 1000 mL Lactated Ringers. How many mL/hr will the IV run? 15 mL / hr 0.25 mL / hr 7.5 mL / hr 5.0 mL / hr

Begin a Pitocin infusion at 5.0 mu / min via IV pump for labor induction. On hand is Pitocin 40 units in 1000 mL Lactated Ringers. How many mL/hr will the IV run?
15 mL / hr
0.25 mL / hr
7.5 mL / hr
5.0 mL / hr

Transcript text: Begin a Pitocin infusion at $5.0 \mathrm{mu} / \mathrm{min}$ via IV pump for labor induction. On hand is Pitocin 40. units in 1000 mL Lactated Ringers. How many mL/hr will the IV run? $15 \mathrm{~mL} / \mathrm{hr}$ $0.25 \mathrm{~mL} / \mathrm{hr}$ $7.5 \mathrm{~mL} / \mathrm{hr}$ $5.0 \mathrm{~mL} / \mathrm{hr}$

Solution

Solution Steps

Step 1: Determine the concentration of Pitocin in the solution

The concentration of Pitocin is given as 40 units in 1000 mL. To find the concentration in units per mL: \[ \text{Concentration} = \frac{40 \text{ units}}{1000 \text{ mL}} = 0.04 \text{ units/mL} \]

Step 2: Convert the infusion rate from milliunits to units

The infusion rate is given as $5.0 \text{ mu/min}$. Since $1 \text{ unit} = 1000 \text{ milliunits}$, convert the rate to units per minute: \[ 5.0 \text{ mu/min} = \frac{5.0}{1000} \text{ units/min} = 0.005 \text{ units/min} \]

Step 3: Calculate the required mL per minute

Using the concentration from Step 1, calculate the mL per minute needed to deliver $0.005 \text{ units/min}$: \[ \text{mL/min} = \frac{0.005 \text{ units/min}}{0.04 \text{ units/mL}} = 0.125 \text{ mL/min} \]

Step 4: Convert mL per minute to mL per hour

To find the infusion rate in mL per hour, multiply the mL per minute by 60: \[ \text{mL/hr} = 0.125 \text{ mL/min} \times 60 = 7.5 \text{ mL/hr} \]