This guide provides useful resources for a wide variety of math topics. It is targeted at students enrolled in a math course or any other Centennial course that requires math knowledge and skills.

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- Basic Laws
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- Nursing Math
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- Nutrition Labels
- Interpreting Drug Orders
- Oral Dosages
- Dosage Based on Size of the Patient
- Parenteral Dosages
- Intravenous (IV) Administration
- Infusion Rates for Intravenous Piggyback (IVPB) Bag
- General Dosage Rounding Rules

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1. An IVPB is infusing at \(120\, mL/h\). The concentration is 50 mg in 100 mL of NS. What is the dosage rate in mg/min?

There are a few things we need to convert to get \(120\, mL/h\) to the dosage rate of mg/min. First, we can infuse the concentration of 50 mg in 100 mL of NS.

\[\frac{120\, mL}{1\, h}\times\frac{50\, mg}{100\, mL}=\frac{60\,mg}{1\, h}\]

Next, we need to convert hours into minutes

\[\frac{60\, mg}{1\, h}\times\frac{1\, h}{60\,min}=1\,mg/min\]

The dosage rate for this IV piggyback is 1 mg/min.

2. Your patient is a 125 lb adult. An order for Tagamet 5mg/kg in 50 ml D5W IVPB to be infused in 20 minutes. Use the label below with the drop factor 10 gtts/mL.

**a. How many mL of Tagamet will you add to the IV fluid?**

First, we have to find the weight of the patient in kg.

\[125\,lb=\frac{1\,kg}{2.2\,lb}=56.82kg\]

The order for Tagamet is for 5 mg/kg.

\[56.82\,kg\times\frac{5\,mg}{1\,kg}=284.1\,mg\]

Thus the order should be 284.1 mg.

Next, the Tagament strength from the label is 300mg/2mL.

\[284.1\,mg\times\frac{2\,mL}{300\,mg}=1.9\,mL\]

1.9 mL should be added to the IV.

**b. What will be your flow rate in gtts/min?**

First, we convert Tagamet in 50 mL using the drop factor 10 gtt/mL.

\[50\,mL\times\frac{10\,gtt}{1\,mL}=500\,gtt\]

Then we find the flow rate by dividing the time of 20 minutes.

\[\frac{500\,gtt}{20\,min}=25\,gtt/min\]

**c. In mL/h?**

Converting 50 mL in 20 minutes to mL/h

\[\frac{50\,mL}{20\,min}\times\frac{60\,min}{1\,h}=150\,mL/h\]

3. An order of morphine sulfate 200 mg IVPB in NS 1000 mL to be infused at a rate of 20 mcg/kg/h stat. The patient weighs 134 kg.

**a. How many mg/h of this narcotic analgesic will the patient receive?**

First, we calculate the mcg required for a patient weighing 134 kg at the infusion rate of 20 mcg/kg.

\[134\,kg\times\frac{20\,mcg}{1\,kg}=268\,mcg\]

Now we convert the 268 mcg/h to mg/h

\[\frac{268\,mcg}{1\,h}\times\frac{1\,mg}{1000\,mcg}=2.68\,mg/h\]

The patient will receive 2.68 mg/h IVPB immediately.

**b. How many mL/h of the solution will the patient receive?**

The order of 200 mg IVPB in NS 1000 mL can be used with the 2.68 mg/h to calculate the mL/h to be administered.

\[\frac{1000\,mL}{200\,mg}\times\frac{2.68\,mg}{1\,h}=13.4\,mL/h\]

The patient will receive 13.4 mL/h of morphine sulfate.

Designed by Matthew Cheung. This work is licensed under a Creative Commons Attribution 4.0 International License.

- Last Updated: Mar 18, 2024 3:47 PM
- URL: https://libraryguides.centennialcollege.ca/mathhelp
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