You are reviewing orders in the OR today. Ms. Jacqueline Frost (67 years old; female; 70.0 kg; 66.0 inches) requires emergent surgery today. She has been receiving norepinephrine at 85 ml/hr in the ICU. Anesthesiology prefers to dose norepinephrine in mcg/kg/min while patients are in the OR. The patient is receiving 16 mg in D5W 250 ml. What is the patient's rate in mcg/kg/min? Answer to the tenths place. 

We are tasked with finding the patient's norepinephrine infusion rate in **mcg/kg/min** given the following information:

- The patient is receiving **norepinephrine at 85 ml/hr**.
- The norepinephrine concentration is **16 mg in 250 ml** of D5W.
- The patient's weight is **70.0 kg**.

### Step 1: Convert the norepinephrine concentration from mg to mcg
Since we are asked to find the rate in **mcg**, we first convert the norepinephrine concentration from **mg to mcg**.

\[
16 \text{ mg} = 16,000 \text{ mcg}
\]

### Step 2: Find the concentration of norepinephrine per ml
Now, we calculate how much norepinephrine (in mcg) is present in 1 ml of the solution. The concentration of norepinephrine is:

\[
\frac{16,000 \text{ mcg}}{250 \text{ ml}} = 64 \text{ mcg/ml}
\]

### Step 3: Calculate the dose being delivered (mcg/hr)
Next, we calculate the total dose of norepinephrine the patient is receiving per hour based on the infusion rate of **85 ml/hr**:

\[
\text{Dose (mcg/hr)} = 85 \text{ ml/hr} \times 64 \text{ mcg/ml} = 5,440 \text{ mcg/hr}
\]

### Step 4: Convert mcg/hr to mcg/min
To convert the dose from mcg/hr to mcg/min, divide by 60 (since there are 60 minutes in an hour):

\[
\frac{5,440 \text{ mcg/hr}}{60} = 90.67 \text{ mcg/min}
\]

### Step 5: Calculate the dose per kg per minute
Finally, we calculate the dose in **mcg/kg/min** by dividing the rate in mcg/min by the patient's weight (70.0 kg):

\[
\frac{90.67 \text{ mcg/min}}{70.0 \text{ kg}} = 1.30 \text{ mcg/kg/min}
\]

### Final Answer:
The patient is receiving **1.3 mcg/kg/min** of norepinephrine.

Would you like further details on any step, or do you have any questions?

Here are some related questions to explore:
1. How would the rate change if the patient’s weight were different?
2. What is the significance of using mcg/kg/min dosing in ICU settings?
3. How does norepinephrine affect the cardiovascular system during surgery?
4. What are the potential risks of norepinephrine overdose?
5. How would the dose calculation change with a different norepinephrine concentration?

**Tip**: Always double-check units during medication calculations to avoid errors.

You are reviewing orders in the OR today. Ms. Jacqueline Frost (67 years old; female; 70.0 kg; 66.0 inches) requires emergent surgery today. She has been receiving norepinephrine at 85 ml/hr in the ICU. Anesthesiology prefers to dose norepinephrine in mcg/kg/min while patients are in the OR. The patient is receiving 16 mg in D5W 250 ml. What is the patient's rate in mcg/kg/min? Answer to the tenths place.

Learn how to calculate the norepinephrine dose for a 67-year-old patient, Ms. Jacqueline Frost, undergoing emergent surgery. This example involves converting norepinephrine infusion rates from mg to mcg and calculating mcg/kg/min based on a solution of 16 mg in D5W 250 ml. Ideal for medical professionals and students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation