Question

Calculate the dosages as indicated. Use the labels where provided. A client is receiving Septra \(300 \mathrm{mg}\) in \(500 \mathrm{~mL}\) D5W (based on trimethoprim) at a rate of \(15 \mathrm{gtt} / \mathrm{min}\) ( 15 microgtt/min). The tubing is microdrop ( \(60 \mathrm{gtt} / \mathrm{mL}\) ). Calculate the following: a. \(\mathrm{mg} / \mathrm{min}\) b. \(\mathrm{mg} / \mathrm{hr}\)

Short answer

0.15 mg/min; 9 mg/hr.

Step-by-step solution

Determine Volume Rate in mL/min

Using the given information that the drop rate is \( 15 \text{ gtt/min} \) and the microdrop factor is \( 60 \text{ gtt/mL} \), determine the flow rate in \( \text{mL/min} \). Use the formula:\[\text{mL/min} = \frac{\text{gtt/min}}{\text{gtt/mL}} = \frac{15}{60} = 0.25 \text{ mL/min}\]

Calculate mg/min

We know the solution concentration is \( 300 \text{ mg} \) per \( 500 \text{ mL} \). To find how many mg are delivered per min, use the concentration and the volume rate:\[\text{mg/min} = 0.25 \text{ mL/min} \times \frac{300 \text{ mg}}{500 \text{ mL}}\]Solve:\[\text{mg/min} = 0.25 \times 0.6 = 0.15 \text{ mg/min}\]

Calculate mg/hr

Convert \( \text{mg/min} \) to \( \text{mg/hr} \) by multiplying by 60 (since there are 60 minutes in an hour):\[\text{mg/hr} = 0.15 \text{ mg/min} \times 60 \text{ min/hr} = 9 \text{ mg/hr}\]

Key concepts

Nursing Math

Understanding nursing math is crucial in various healthcare settings. It helps nurses ensure patients receive the correct dosages of medication. Patient safety often depends on these calculations being precise. When working with dosage calculations, nurses need to accurately determine how much medication a patient should receive.
This involves converting measurement units and using ratios to find the desired dosage amount. In the context of intravenous (IV) medication, the dosage depends on the volume of fluid administered over a specific period.
It's about knowing how concentration, dosage, and flow rate affect the delivery of medication. A good grasp of these fundamentals is crucial in practical nursing math.

Pharmacology

Pharmacology explores how drugs interact with the human body. It is essential for understanding dosage calculations in nursing.
Knowledge in this field ensures that medications are used safely and effectively to treat illnesses. Comprehending drug properties, mechanisms of action, and side effects are key components in pharmacology.
In the dosage calculation exercise with Septra, nurses need to consider how the medication’s concentration is related to its safe administration. Factors such as patient age, weight, liver function, and kidney function can influence how drugs are metabolized and excreted.
This makes precision in dosage calculations crucial for optimal patient outcomes.

Intravenous Infusion Rates

Calculating intravenous infusion rates is a pivotal part of administering medication through IV.
It involves determining how much of a medication is delivered over a set period. Infusion rates are often expressed in milliliters per hour or drops per minute.
In this exercise, the medication is delivered through microdrop tubing, where the conversion factor is 60 gtt/mL. To calculate the infusion rate in mg/minute or mg/hour, it's important to utilize the concentration of the drug solution.
This requires converting the drop rate to milliliters per minute and then relating it back to the concentration. By mastering these calculations, healthcare providers can ensure accurate and effective medication dosing.