Math Problem Statement

A nurse is preparing to administer vancomycin 1 g by intermittent IV bolus every 12 hr. Available is vancomycin injection 1 g in 0.9% sodium chloride (0.9% NaCl) 250 mL to infuse over 60 min. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)

Solution

The question asks how to set the IV pump rate to administer 1 gram of Vancomycin in 250 mL of 0.9% sodium chloride (NaCl) over a 60-minute period. You need to calculate the rate in mL/hr (milliliters per hour).

Steps to solve:

  1. Total volume to infuse: 250 mL

  2. Time of infusion: 60 minutes (which is 1 hour)

  3. The rate formula is: Rate (mL/hr)=Total Volume (mL)Time (hours)\text{Rate (mL/hr)} = \frac{\text{Total Volume (mL)}}{\text{Time (hours)}}

    Since the time is 1 hour: Rate=2501=250mL/hr\text{Rate} = \frac{250}{1} = 250 \, \text{mL/hr}

Thus, the nurse should set the IV pump to 250 mL/hr.

Would you like a more detailed explanation or further assistance?

Here are some additional related questions you might find useful:

  1. How would you adjust the rate if the infusion time was changed to 90 minutes?
  2. What happens if the volume to infuse changes to 500 mL, but the time remains the same?
  3. How would you calculate the rate if the infusion had to be completed over 45 minutes?
  4. What is the maximum safe rate for vancomycin infusion to avoid complications?
  5. How do you adjust for different concentrations of vancomycin in this type of calculation?

Tip: Always double-check the unit conversions between hours and minutes when calculating infusion rates to avoid mistakes!

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Math Problem Analysis

Mathematical Concepts

Rate Calculation
Unit Conversion

Formulas

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

Theorems

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Suitable Grade Level

Post-secondary (Nursing or Medical Calculations)