Math Problem Statement

The nurse must administer vancomycin 1.5 gms in 250 mL D/5/W over 2.5 hours The RN should set the IV pump to deliver how many mL/hr?

Solution

To calculate the IV pump rate (mL/hr), we can use the following formula:

Pump rate (mL/hr)=Total volume (mL)Time (hours)\text{Pump rate (mL/hr)} = \frac{\text{Total volume (mL)}}{\text{Time (hours)}}

Given:

  • Total volume = 250 mL
  • Time = 2.5 hours

Substitute these values into the formula:

Pump rate (mL/hr)=250mL2.5hours=100mL/hr\text{Pump rate (mL/hr)} = \frac{250 \, \text{mL}}{2.5 \, \text{hours}} = 100 \, \text{mL/hr}

So, the nurse should set the IV pump to 100 mL/hr.

Do you want more details or have any questions?

Here are five related questions:

  1. How do you calculate dosage rates for different medications?
  2. What is the importance of infusion rates for IV medications?
  3. Can the IV pump rate change based on patient conditions?
  4. What precautions should be taken when administering vancomycin?
  5. How can you convert hours and minutes for IV pump rate calculations?

Tip: Always double-check infusion rates for medications with narrow therapeutic ranges like vancomycin to prevent toxicity.

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Math Problem Analysis

Mathematical Concepts

Rate Calculations
Division
Unit Conversion

Formulas

Pump rate (mL/hr) = Total volume (mL) / Time (hours)

Theorems

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Suitable Grade Level

Grades 9-10