Math Problem Statement

The order reads to administer 500mg of vancomycin mixed in 250mL of normal saline over 25 minutes via an infusion pump. You will set the pump at?

Solution

To determine the rate at which the infusion pump should be set, we can use the formula:

Rate (mL/hr)=Total Volume (mL)Time (hours)\text{Rate (mL/hr)} = \frac{\text{Total Volume (mL)}}{\text{Time (hours)}}

Given:

  • Total volume of solution = 250 mL
  • Time = 25 minutes = 2560\frac{25}{60} hours ≈ 0.417 hours

Now, plug in the values:

Rate=250mL0.417hours599.04mL/hr\text{Rate} = \frac{250 \, \text{mL}}{0.417 \, \text{hours}} \approx 599.04 \, \text{mL/hr}

Therefore, the infusion pump should be set to 599 mL/hr.

Would you like further details or clarifications on this?

Related Questions:

  1. How do you calculate flow rate for intravenous infusions?
  2. What are the risks of infusing medications too quickly?
  3. What is the purpose of normal saline in IV medications?
  4. Can the rate of infusion vary based on the patient's condition?
  5. What are common side effects of vancomycin administration?

Tip: Always double-check infusion rates to avoid medication errors, especially with potent antibiotics like vancomycin.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Unit Conversion
Rate Calculation

Formulas

Rate (mL/hr) = Total Volume (mL) / Time (hours)

Theorems

-

Suitable Grade Level

Grades 9-12