Magnesium Sulfate Infusion Calculation

PharmacologyIV Flow Rate CalculationMedium

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a solution of magnesium sulfate 20 g in 1000 ml lactated ringer solution is to be infused at 2 g/hr. determine the flow rate in ml/hr

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Step 1

Hello! Let's solve this medical dosage calculation together. We need to find the IV flow rate in milliliters per hour based on a specific dose of magnesium sulfate.

IV Flow Rate Calculation

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Step 2

First, let's list our given values. We have a total amount of twenty grams of magnesium sulfate dissolved in one thousand milliliters of lactated ringer solution.


Given Data:

$$Total\ Dose = 20\ \text{g}$$
$$Total\ Volume = 1000\ \text{mL}$$
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Step 3

The order specifies an infusion rate of two grams per hour. Our goal is to convert this gram per hour rate into a milliliter per hour rate.

$$Desired\ Dose\ Rate = 2\ \text{g/hr}$$

Find:\ Flow\ Rate\ (\text{mL/hr})

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Step 4

To find the flow rate, we can use a simple ratio or a formula. We will set up a proportion where the total volume over the total dose equals our unknown flow rate over the desired dose rate.

Setting up the Formula

$$\frac{\text{Total Volume}}{\text{Total Dose}} = \frac{\text{Flow Rate (mL/hr)}}{\text{Dose Rate (g/hr)}}$$$
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Step 5

Alternatively, we can rearrange this to say: Flow rate equals the desired dose rate multiplied by the total volume, all divided by the total dose amount.

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Step 6

Now, let's plug in our numbers. We have two grams per hour, times one thousand milliliters, divided by twenty grams.

$$\text{Flow Rate} = \frac{2\ \text{g/hr} \times 1000\ \text{mL}}{20\ \text{g}}$$

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About This Question

Subject
Pharmacology
Topic
IV Flow Rate Calculation
Difficulty
Medium
Question Type
Open Ended

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